01.01.01 (Real analysis, complex analysis, and functional analysis)
Birth date:
17.06.1935
E-mail:
,
Keywords:
spectral theory; non-selfadjoint operators; differential and integral equations; resolvent; eigenvalue-series expansion.
Subject:
Fundamental results were obtained in the spectral theory of non-selfadjoint differential and integral operators: a complete solution of a difficult eigenfunctions expansions problem for ordinary differential operators with nonregular decomposing boundary conditions was found; the eigenfunctions expansions problems for integral operators which are the sum of a Volterra and a finite-dimensional operators in the case of exponential growth of the resolvent and for integral operators which kernels have power behaviour on the diagonals were solved.
Biography
In 1958 I graduated from Faculty of Mathematics and Mechanics of Saratov State University (SSU) in mathematics. Ph.D. thesis was defended in 1964. D.Sci. thesis was defended in 1973. A list of my works contains more than 140 titles. Since 1973 I has led the research seminar at SSU on spectral theory of operators.
In 1997 I was awarded the title "Honoured science resercher of Russian Federation". Academician of International Academy of High School Sciences — since 1998. President of Saratov Mathematical Society. Chairman of Ph.D. thesis council in Saratov State University. Member D.Sci. council in Mathematics and Mechanics Institute of the Ural Departament of Russian Academy of Sciences (Yekaterinburg). In 2000 I was awarded a grant of Russian Academy of Sciences and RFFI "Leading scientific schools". I was awarded a state scientific grant.
Main publications:
Khromov A. P. Razlozhenie po sobstvennym funktsiyam obyknovennykh differentsialnykh operatorov s neregulyarnymi raspadayuschimisya kraevymi usloviyami // Matem. sbornik, 1966, 70 (112), # 3, 310–329.
Khromov A. P. O porozhdayuschikh funktsiyakh volterrovykh operatorov // Matem. sbornik, 1977, 102 (144), # 3, 457–472.
Khromov A. P. Teoriya ravnoskhodimosti dlya integrodifferentsialnykh i integralnykh operatorov // Matem. sbornik, 1981, 114 (156), # 3, 378–405.
Khromov A. P. Asimptotika rezolvent integralnykh volterrovykh operatorov. Trudy MIAN, 1995, 211, 419–442.
Khromov A. P., Kornev V. V. O ravnoskhodimosti razlozhenii po sosbstvennym funktsiyam integralnykh operatorov s yadrami, dopuskayuschimi razryvy proizvodnykh na diagonalyakh // Matem. sbornik, 2001, 192, # 10, 33–50.
Khromov A. P. Konechnomernye vozmuscheniya volterrovykh operatorov // Sovremennaya matematika. Fundamentalnye napravleniya. 2004. T. 10. S. 3–163.
Khromov A. P. Integralnye operatory s yadrami, razryvnymi na lomanykh liniyakh // Matem. sb. 2006. T. 197, vyp. 11. S. 115–142.
Khromov A. P. O ravnoskhodimosti razlozhenii po sobstvennym funktsiyam integralnykh operatorov s peremennymi predelami integrirovaniya // Integralnye preobrazovaniya i spetsialnye funktsii. Informatsionnyi byulleten. T. 6, # 1. 2006. S. 46–55.
Kornev V. V., Khromov A. P. Operator integrirovaniya s involyutsiei v verkhnem predele integrirovaniya // Dokl. AN. 2008. T. 422, # 4. S. 459–462.
Kurdyumov V. P., Khromov A. P. O bazisakh Rissa iz sobstvennykh i prisoedinennykh funktsii funktsionalno-differentsialnogo uravneniya s operatorom otrazheniya // Differentsialnye uravneniya. 2008. T. 44, # 2. S. 196–204.
Burlutskaya M. Sh., Khromov A. P. Klassicheskoe reshenie dlya smeshannoi zadachi s involyutsiei // Dokl. AN. 2010. T. 435, # 2. S.1643–1646.
Burlutskaya M. Sh., Khromov A. P. Teorema Shteingauza o ravnoskhodimosti dlya funktsionalno-differentsialnykh operatorov // Matem. zametki. 2011. T. 90, vyp. 1. S. 22–33.
Burlutskaya M. Sh., Khromov A. P. Metod Fure v smeshannoi zadache dlya uravneniya pervogo poryadka s involyutsiei // ZhVM i MF. 2011. T. 51, # 12. S. 2233–2246.
Burlutskaya M. Sh., Kurdyumov V. P., Khromov A. P. Utochnennye asimptoticheskie formuly dlya sobstvennykh znachenii i sobstvennykh funktsii sistemy Diraka // Dokl. AN. 2012. T. 443, # 4. S. 414–417.
Burlutskaya M. Sh., Khromov A. P. Funktsionalno differentsialnye operatory s involyutsiei i operatory Diraka s periodicheskimi kraevymi usloviyami // Dokl. AN. 2014. T. 454, # 1. S. 15–17.
Burlutskaya M. Sh., Khromov A. P. Rezolventnyi podkhod v metode Fure // Dokl. AN. 2014. T. 458, # 2. S. 138–140.
Kuznetsov N., Khromov A. The Fourier Method in Russia Before and Aster V. A. Steklov // Math. Intelligencer. 2014. Vol. 36, iss. 4. P. 66–73.
Khromov A. P. Smeshannaya zadacha dlya volnovogo uravneniya s proizvolnymi dvukhtochechnymi kraevymi usloviyami // Dokl. AN. 2015. T. 462, # 2. S. 148–150.
Khromov A.P., Kornev V.V. Rezolventnyi podkhod k metodu Fure v odnoi smeshannoi zadache dlya volnovogo uravneniya // Zh. vychisl. matem. i matem. fiz. 2015. T. 55, # 4. S. 621–630.
Khromov A.P., Burlutskaya M.Sh. Rezolventnyi podkhod dlya volnovogo uravneniya // Zh. vychisl. matem. i matem. fiz. 2015. T. 55, # 2. S. 51–63.
Rezolventnyi podkhod v metode Fure dlya volnovogo uravneniya v nesamosopryazhennom sluchae // Zh. vychisl. matem. i matem. fiz. 2015. T. 55, # 7. S. 1156–1167.
Khromov A. P., Kornev V. V. Povedenie formalnogo resheniya smeshannoi zadachi dlya volnovogo uravneniya // Zh. vychisl. matem. i matem. fiz. 2016. T. 56, # 2. S. 239–251.
A. P. Khromov, “Divergent series and generalized mixed problem for wave equation”, Izv. Saratov Univ. Math. Mech. Inform., 24:3 (2024), 351–358
2023
2.
A. P. Khromov, “Generalized mixed problem for the simplest wave equation and its applications”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 229 (2023), 83–89
2022
3.
A. P. Khromov, “Divergent series and generalized mixed problem for a wave equation of the simplest type”, Izv. Saratov Univ. Math. Mech. Inform., 22:3 (2022), 322–331
V. P. Kurdyumov, A. P. Khromov, “Divergent series and the mixed problem for the wave equation with free endpoints”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 200 (2021), 65–72
5.
A. P. Khromov, V. V. Kornev, “Divergent series in the Fourier method for the wave equation”, Trudy Inst. Mat. i Mekh. UrO RAN, 27:4 (2021), 215–238
V. P. Kurdyumov, A. P. Khromov, V. A. Khalova, “Mixed problem for a homogeneous wave equation with a nonzero initial velocity and a summable potential”, Izv. Saratov Univ. Math. Mech. Inform., 20:4 (2020), 444–456
V. V. Kornev, A. P. Khromov, “Classical solution of the mixed problem for a homogeneous wave equation with fixed endpoints”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 172 (2019), 119–133
A. P. Khromov, “On classic solution of the problem for a homogeneous wave equation with fixed end-points and zero initial velocity”, Izv. Saratov Univ. Math. Mech. Inform., 19:3 (2019), 280–288
A. P. Khromov, V. V. Kornev, “Classical and generalized solutions of a mixed problem for a nonhomogeneous wave equation”, Zh. Vychisl. Mat. Mat. Fiz., 59:2 (2019), 286–300; Comput. Math. Math. Phys., 59:2 (2019), 275–289
V. P. Kurdyumov, A. P. Khromov, V. A. Khalova, “A mixed problem for a wave equation with a nonzero initial velocity”, Izv. Saratov Univ. Math. Mech. Inform., 18:2 (2018), 157–171
A. P. Khromov, “Mixed problem for a homogeneous wave equation with a nonzero initial velocity”, Zh. Vychisl. Mat. Mat. Fiz., 58:9 (2018), 1583–1596; Comput. Math. Math. Phys., 58:9 (2018), 1531–1543
V. V. Kornev, A. P. Khromov, “A mixed problem for an inhomogeneous wave equation with a summable potential”, Zh. Vychisl. Mat. Mat. Fiz., 57:10 (2017), 1692–1707; Comput. Math. Math. Phys., 57:10 (2017), 1666–1681
V. V. Kornev, A. P. Khromov, “Resolvent approach to Fourier method in a mixed problem for non-homogeneous wave equation”, Izv. Saratov Univ. Math. Mech. Inform., 16:4 (2016), 403–413
A. P. Gurevich, V. P. Kurdyumov, A. P. Khromov, “Justification of Fourier method in a mixed problem for wave equation with non-zero velocity”, Izv. Saratov Univ. Math. Mech. Inform., 16:1 (2016), 13–29
A. P. Khromov, “On the convergence of the formal Fourier solution of the wave equation with a summable potential”, Zh. Vychisl. Mat. Mat. Fiz., 56:10 (2016), 1795–1809; Comput. Math. Math. Phys., 56:10 (2016), 1778–1792
A. P. Khromov, “Behavior of the formal solution to a mixed problem for the wave equation”, Zh. Vychisl. Mat. Mat. Fiz., 56:2 (2016), 239–251; Comput. Math. Math. Phys., 56:2 (2016), 243–255
V. V. Kornev, A. P. Khromov, “A resolvent approach in the Fourier method for the wave equation: The non-selfadjoint case”, Zh. Vychisl. Mat. Mat. Fiz., 55:7 (2015), 1156–1167; Comput. Math. Math. Phys., 55:7 (2015), 1138–1149
V. V. Kornev, A. P. Khromov, “Resolvent approach to the Fourier method in a mixed problem for the wave equation”, Zh. Vychisl. Mat. Mat. Fiz., 55:4 (2015), 621–630; Comput. Math. Math. Phys., 55:4 (2015), 618–627
M. Sh. Burlutskaya, A. P. Khromov, “The resolvent approach for the wave equation”, Zh. Vychisl. Mat. Mat. Fiz., 55:2 (2015), 229–241; Comput. Math. Math. Phys., 55:2 (2015), 227–239
V. P. Kurdumov, A. P. Khromov, “Riescz Basis Property of Eigen and Associated Functions of Integral Operators with Discontinuous Kernels, Containing Involution”, Izv. Saratov Univ. Math. Mech. Inform., 14:4(2) (2014), 558–569
22.
A. P. Khromov, M. Sh. Burlutskaya, “Classical solution by the Fourier method of mixed problems with minimum requirements on the initial data”, Izv. Saratov Univ. Math. Mech. Inform., 14:2 (2014), 171–198
M. Sh. Burlutskaya, A. P. Khromov, “Mixed problem for simplest hyperbolic first order equations with involution”, Izv. Saratov Univ. Math. Mech. Inform., 14:1 (2014), 10–20
A. P. Khromov, G. V. Khromova, “Discontinuous Steklov operators in the problem of uniform approximation of derivatives on an interval”, Zh. Vychisl. Mat. Mat. Fiz., 54:9 (2014), 1442–1557; Comput. Math. Math. Phys., 54:9 (2014), 1389–1394
V. V. Kornev, A. P. Khromov, “Dirac system with undifferentiable potential and antiperiodic boundary conditions”, Izv. Saratov Univ. Math. Mech. Inform., 13:3 (2013), 28–35
A. P. Khromov, G. V. Khromova, “A family of operators with discontinuous ranges and approximation and restoration of continuous functions”, Zh. Vychisl. Mat. Mat. Fiz., 53:10 (2013), 1603–1609; Comput. Math. Math. Phys., 53:10 (2013), 1421–1427
V. P. Kurdyumov, A. P. Khromov, “Riesz bases of eigenfunctions of integral operators with kernels discontinuous on the diagonals”, Izv. RAN. Ser. Mat., 76:6 (2012), 107–122; Izv. Math., 76:6 (2012), 1175–1189
M. Sh. Burlutskaya, V. P. Kurdyumov, A. P. Khromov, “Refined asymptotic formulas for eigenvalues and eigenfunctions of the Dirac system with nondifferentiable potential”, Izv. Saratov Univ. Math. Mech. Inform., 12:3 (2012), 22–30
A. P. Khromov, G. V. Khromova, “On the convergence of the Lavrent'ev method for an integral equation of the first kind with involution”, Trudy Inst. Mat. i Mekh. UrO RAN, 18:1 (2012), 289–297; Proc. Steklov Inst. Math. (Suppl.), 280, suppl. 1 (2013), 88–97
M. Sh. Burlutskaya, V. V. Kornev, A. P. Khromov, “Dirac system with non-differentiable potential and periodic boundary conditions”, Zh. Vychisl. Mat. Mat. Fiz., 52:9 (2012), 1621–1632
A. P. Khromov, G. V. Khromova, “On the regularization of a class of integral equations of the first kind whose kernels are discontinuous on the diagonals”, Zh. Vychisl. Mat. Mat. Fiz., 52:8 (2012), 1363–1372; Comput. Math. Math. Phys., 52:8 (2012), 1079–1088
2011
34.
M. Sh. Burlutskaya, A. P. Khromov, “Substantiation of Fourier method in mixed problem with involution”, Izv. Saratov Univ. Math. Mech. Inform., 11:4 (2011), 3–12
M. Sh. Burlutskaya, A. P. Khromov, “The Steinhaus Theorem on Equiconvergence for Functional-Differential Operators”, Mat. Zametki, 90:1 (2011), 22–33; Math. Notes, 90:1 (2011), 20–31
M. Sh. Burlutskaya, A. P. Khromov, “Fourier method in an initial-boundary value problem for a first-order partial differential equation with involution”, Zh. Vychisl. Mat. Mat. Fiz., 51:12 (2011), 2233–2246; Comput. Math. Math. Phys., 51:12 (2011), 2102–2114
A. P. Khromov, “The mixed problem for the differential equation with involution and potential of the special kind”, Izv. Saratov Univ. Math. Mech. Inform., 10:4 (2010), 17–22
V. P. Kurdyumov, A. P. Khromov, “The Riesz bases consisting of eigen and associated functions for a functional differential operator with variable structure”, Izv. Vyssh. Uchebn. Zaved. Mat., 2010, no. 2, 39–52; Russian Math. (Iz. VUZ), 54:2 (2010), 33–45
M. Sh. Burlutskaya, A. P. Khromov, “On the same theorem on a equiconvergence at the whole segment for the functional-differential operators”, Izv. Saratov Univ. Math. Mech. Inform., 9:4(1) (2009), 3–10
V. V. Kornev, A. P. Khromov, “Operator integration with an involution having a power singularity”, Izv. Saratov Univ. Math. Mech. Inform., 8:4 (2008), 18–33
M. Sh. Burlutskaya, A. P. Khromov, “On the equiconvergence of expansions for the certain class of the functional-differential operators with involution on the graph”, Izv. Saratov Univ. Math. Mech. Inform., 8:1 (2008), 9–14
42.
A. P. Khromov, L. P. Kuvardina, “On the equiconvergence of expansions in eigen- and associated functions of an integral operator with involution”, Izv. Vyssh. Uchebn. Zaved. Mat., 2008, no. 5, 67–76; Russian Math. (Iz. VUZ), 52:5 (2008), 58–66
A. P. Khromov, “An Equiconvergence Theorem for an Integral Operator with a Variable Upper Limit of Integration”, CMFD, 25 (2007), 182–191; Journal of Mathematical Sciences, 155:1 (2008), 188–198
V. P. Kurdyumov, A. P. Khromov, “On Riesz basises of the eigen and associated functions of the functional-differential operator with a variable structure”, Izv. Saratov Univ. Math. Mech. Inform., 7:2 (2007), 20–25
A. V. Golub, A. P. Khromov, “Equiconvergence theorem for expansions in eigenfunctions of integral operators with discontinuous involution”, Izv. Saratov Univ. Math. Mech. Inform., 7:2 (2007), 5–10
46.
M. Sh. Burlutskaya, A. P. Khromov, “On convergence of Riesz means of the expansions in eigenfunctions of a functional-differential operator on
a cycle-graph”, Izv. Saratov Univ. Math. Mech. Inform., 7:1 (2007), 3–8
A. P. Khromov, “Integral operators with kernels that are discontinuous on
broken lines”, Mat. Sb., 197:11 (2006), 115–142; Sb. Math., 197:11 (2006), 1669–1696
V. V. Kornev, A. P. Khromov, “On the absolute convergence of expansions in eigenfunctions of differential and integral operators”, Dokl. Akad. Nauk, 400:3 (2005), 304–308
49.
V. V. Kornev, A. P. Khromov, “Absolute convergence of expansions in eigen- and adjoint functions of
an integral operator with a variable limit of integration”, Izv. RAN. Ser. Mat., 69:4 (2005), 59–74; Izv. Math., 69:4 (2005), 703–717
A. M. Minkin, A. P. Khromov, “Îï regularity of self-adjoint boundary conditions”, Izv. Saratov Univ. Math. Mech. Inform., 5:1-2 (2005), 48–61
2004
51.
A. P. Khromov, “Finite-dimensional perturbations of Volterra operators”, CMFD, 10 (2004), 3–163; Journal of Mathematical Sciences, 138:5 (2006), 5893–6066
V. P. Kurdyumov, A. P. Khromov, “Riesz Bases of Eigenfunctions of an Integral Operator with a Variable Limit of Integration”, Mat. Zametki, 76:1 (2004), 97–110; Math. Notes, 76:1 (2004), 90–102
A. P. Gurevich, A. P. Khromov, “Riesz summability of expansions in eigenfunctions of integral operators”, Izv. Vyssh. Uchebn. Zaved. Mat., 2003, no. 2, 24–35; Russian Math. (Iz. VUZ), 47:2 (2003), 22–33
A. P. Khromov, G. V. Khromova, “Extension of the convergence domain in the Tikhonov method”, Zh. Vychisl. Mat. Mat. Fiz., 42:8 (2002), 1109–1114; Comput. Math. Math. Phys., 42:8 (2002), 1067–1072
A. P. Gurevich, A. P. Khromov, “Riesz Summability of Spectral Expansions for a Class of Integral Operators”, Differ. Uravn., 37:6 (2001), 809–814; Differ. Equ., 37:6 (2001), 849–855
A. P. Gurevich, A. P. Khromov, “Riesz summability of spectral expansions for finite-dimensional perturbations of a class of integral operators”, Izv. Vyssh. Uchebn. Zaved. Mat., 2001, no. 8, 38–50; Russian Math. (Iz. VUZ), 45:8 (2001), 36–48
V. V. Kornev, A. P. Khromov, “Equiconvergence of expansions in eigenfunctions of integral operators with kernels that can have discontinuities on the diagonals”, Mat. Sb., 192:10 (2001), 33–50; Sb. Math., 192:10 (2001), 1451–1469
A. P. Khromov, “Equiconvergence of expansions in eigenfunctions of finite-dimensional perturbations of the integration operator”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2000, no. 2, 21–26
A. P. Khromov, “Inversion of integral operators with kernels discontinuous on the diagonal”, Mat. Zametki, 64:6 (1998), 932–942; Math. Notes, 64:6 (1998), 804–813
A. P. Khromov, “Spectral analysis of differential operators on a finite interval”, Differ. Uravn., 31:10 (1995), 1691–1696; Differ. Equ., 31:10 (1995), 1657–1662
A. P. Khromov, “Resolvent asymptotics of Volterra integral operators”, Trudy Mat. Inst. Steklov., 211 (1995), 419–442; Proc. Steklov Inst. Math., 211 (1995), 378–400
A. P. Gurevich, A. P. Khromov, “First and second order differentiation operators with weight functions of variable sign”, Mat. Zametki, 56:1 (1994), 3–15; Math. Notes, 56:1 (1994), 653–661
L. B. Matsnev, A. P. Khromov, “Generating functions of Volterra integral operators”, Mat. Zametki, 33:3 (1983), 423–434; Math. Notes, 33:3 (1983), 216–223
A. P. Khromov, “Equiconvergence theorems for integrodifferential and integral operators”, Mat. Sb. (N.S.), 114(156):3 (1981), 378–405; Math. USSR-Sb., 42:3 (1982), 331–355
A. P. Khromov, “Asymptotic of the resolvent series of a Volterra operator and its application”, Mat. Zametki, 13:6 (1973), 857–868; Math. Notes, 13:6 (1973), 513–519
A. P. Khromov, “On a representation of the kernels of resolvents of Volterra operators and its applications”, Mat. Sb. (N.S.), 89(131):2(10) (1972), 207–226; Math. USSR-Sb., 18:2 (1972), 209–227
A. P. Khromov, “Representation of arbitrary functions by certain special series”, Mat. Sb. (N.S.), 83(125):2(10) (1970), 165–180; Math. USSR-Sb., 12:2 (1970), 159–176
1969
72.
A. P. Khromov, “Differentiation operator and series of Dirichlet type”, Mat. Zametki, 6:6 (1969), 759–766; Math. Notes, 6:6 (1969), 920–924
A. P. Khromov, “The generating elements of certain Volterra operators connected with third- and fourth-order differential operators”, Mat. Zametki, 3:6 (1968), 715–720; Math. Notes, 3:6 (1968), 456–459
A. P. Khromov, “Expansion in eigenfunctions of ordinary linear differential operators with irregular decomposing boundary conditions”, Mat. Sb. (N.S.), 70(112):3 (1966), 310–329
A. P. Khromov, “Eigenfunction expansion of ordinary differential operators with non-regular decomposing boundary values”, Dokl. Akad. Nauk SSSR, 152:6 (1963), 1324–1326
A. P. Khromov, “The eigenfunction expansion of ordinary linear differential operators in a finite interval”, Dokl. Akad. Nauk SSSR, 146:6 (1962), 1294–1297
B. I. Golubov, B. S. Kashin, L. Yu. Kossovich, S. P. Sidorov, A. P. Khromov, A. N. Chumachenko, “19th International Saratov Winter School “Contemporary problems of function theory and their applications"”, Izv. Saratov Univ. Math. Mech. Inform., 18:3 (2018), 354–365
2016
78.
B. I. Golubov, B. S. Kashin, L. Yu. Kossovich, S. P. Sidorov, A. P. Khromov, A. N. Chumachenko, “18th International Saratov Winter School “Contemporary Problems of Function Theory and Their Applications””, Izv. Saratov Univ. Math. Mech. Inform., 16:4 (2016), 485–487
2015
79.
B. I. Golubov, B. S. Kashin, L. Yu. Kossovich, S. P. Sidorov, A. P. Khromov, “XVII International Saratov Winter School «Contemporary Problems of the Function Theory and its Applications». Dedicated to the 150th Anniversary of V. A. Steklov”, Izv. Saratov Univ. Math. Mech. Inform., 15:3 (2015), 357–359
B. I. Golubov, B. S. Kashin, L. Yu. Kossovich, S. P. Sidorov, A. P. Khromov, “16 Saratov winter school “Contemporary problems of function theory and its applications””, Izv. Saratov Univ. Math. Mech. Inform., 12:2 (2012), 114–115
2010
81.
L. Yu. Kossovich, S. P. Sidorov, A. P. Khromov, “15 Saratov winter school “Contemporary problems of function theory and its applications” dedicated to the 125th anniversary of V. V. Golubev and 100th anniversary of SSU”, Izv. Saratov Univ. Math. Mech. Inform., 10:3 (2010), 86–87
2009
82.
A. P. Khromov, “Vladimir Vasilievich Golubev”, Izv. Saratov Univ. Math. Mech. Inform., 9:4(1) (2009), 88–89
L. Yu. Kossovich, A. P. Khromov, S. P. Sidorov, “14 Saratov winter school “Contemporary problems of function theory and its applications” dedicated to the memory of P. L. Ulyanov”, Izv. Saratov Univ. Math. Mech. Inform., 8:1 (2008), 76–77
2007
84.
S. I. Dudov, A. M. Zaharov, D. V. Prokhorov, A. P. Khromov, “Petr Lavrentievich Ulianov”, Izv. Saratov Univ. Math. Mech. Inform., 7:1 (2007), 89–93
2004
85.
L. Yu. Kossovich, A. L. Lukashov, P. L. Ul'yanov, A. P. Khromov, “Twelfth Saratov Winter Workshop “Contemporary Problems of Function Theory and their Applications””, Uspekhi Mat. Nauk, 59:3(357) (2004), 189–190
D. I. Trubetskov, P. L. Ul'yanov, A. P. Khromov, A. L. Lukashov, “Tenth Saratov Winter School “Modern Problems of Theory of Functions and Applications””, Uspekhi Mat. Nauk, 56:1(337) (2001), 205–206
V. A. Il'in, S. M. Nikol'skii, N. Kh. Rozov, P. L. Ul'yanov, A. P. Khromov, “Yulii Vital'evich Pokornyi (on his 60th birthday)”, Uspekhi Mat. Nauk, 56:1(337) (2001), 199–200; Russian Math. Surveys, 56:1 (2001), 197–199
A. L. Lukashov, D. I. Trubetskov, P. L. Ul'yanov, A. P. Khromov, “Ninth Saratov Winter School “Modern Problems of Theory of Functions and Applications””, Uspekhi Mat. Nauk, 53:2(320) (1998), 185–186
A. L. Lukashov, D. I. Trubetskov, P. L. Ul'yanov, A. P. Khromov, “Eighth Saratov Winter School “Modern Problems of Theory of Functions and Applications””, Uspekhi Mat. Nauk, 51:3(309) (1996), 221–222
L. D. Kudryavtsev, S. M. Nikol'skii, D. V. Prokhorov, S. B. Stechkin, S. A. Telyakovskii, P. L. Ul'yanov, A. P. Khromov, V. A. Yurko, “Nikolai Petrovich Kuptsov (obituary)”, Uspekhi Mat. Nauk, 50:4(304) (1995), 71–72; Russian Math. Surveys, 50:4 (1995), 727–729
A. M. Bogomolov, S. M. Nikol'skii, P. L. Ul'yanov, A. P. Khromov, “Seventh Saratov Winter School on Theory of Functions and Approximations”, Uspekhi Mat. Nauk, 49:5(299) (1994), 187–188
A. M. Bogomolov, N. P. Kuptsov, S. M. Nikol'skii, S. B. Stechkin, P. L. Ul'yanov, A. P. Khromov, “Andrei Andreevich Privalov (obituary)”, Uspekhi Mat. Nauk, 49:1(295) (1994), 199–200; Russian Math. Surveys, 49:1 (1994), 217–218