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Podolskii, Vladimir Evgen'evich
Doctor of physico-mathematical sciences
Speciality: 01.01.01 (Real analysis, complex analysis, and functional analysis)
Birth date: 06.08.1962
E-mail:
Keywords: spectral theory; regularized traces; heat kernel.
   
Main publications:
  • On the summability of regularized sums of eigenvalues of the Laplace–Beltrami operator with potential on symmetric spaces of rank one // Rus. J. Math. Phys. 1996, v. 4, no. 1, p. 123–130.

https://www.mathnet.ru/eng/person8574
List of publications on Google Scholar
https://mathscinet.ams.org/mathscinet/MRAuthorID/268533

Publications in Math-Net.Ru Citations
2025
1. E. D. Alferova, V. E. Podolskii, V. B. Sherstyukov, “Asymptotic behavior of “long” products of sines and the Pisot numbers”, Mat. Zametki, 117:1 (2025),  16–31  mathnet  mathscinet; Math. Notes, 117:1 (2025), 14–27  scopus 1
2. E. D. Alferova, V. E. Podolskii, V. B. Sherstyukov, “Elementary method in the problem of spectral radius calculation for particular set of functional operators”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2025, no. 3,  3–11  mathnet  elib; Moscow University Mathematics Bulletin, 80:3 (2025), 151–159
2006
3. V. A. Sadovnichii, V. E. Podolskii, “Traces of operators”, Uspekhi Mat. Nauk, 61:5(371) (2006),  89–156  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 61:5 (2006), 885–953  isi  elib  scopus 80
4. V. A. Sadovnichii, V. E. Podolskii, “Regularized traces of discrete operators”, Trudy Inst. Mat. i Mekh. UrO RAN, 12:2 (2006),  162–177  mathnet  mathscinet  zmath  elib; Proc. Steklov Inst. Math., 255, suppl. 2 (2006), S161–S177  scopus 5
2004
5. V. E. Podolskii, “On the Trace of a Perturbed Operator Semigroup”, Mat. Zametki, 75:3 (2004),  462–466  mathnet  mathscinet  zmath; Math. Notes, 75:3 (2004), 430–434  isi 2
2002
6. V. A. Sadovnichii, V. E. Podolskii, “Traces of operators with relatively compact perturbations”, Mat. Sb., 193:2 (2002),  129–152  mathnet  mathscinet  zmath; Sb. Math., 193:2 (2002), 279–302  isi  scopus 41
1999
7. V. A. Sadovnichii, V. E. Podolskii, “A regularized trace of a bounded perturbation of an operator with a trace-class resolvent”, Differ. Uravn., 35:4 (1999),  556–564  mathnet  mathscinet; Differ. Equ., 35:4 (1999), 557–566 6
8. A. N. Bobrov, V. E. Podolskii, “Convergence of regularized traces of powers of the Laplace–Beltrami operator with potential on the sphere $S^n$”, Mat. Sb., 190:10 (1999),  3–16  mathnet  mathscinet  zmath; Sb. Math., 190:10 (1999), 1401–1415  isi  scopus 4
9. V. E. Podolskii, “Abel summation of regularized traces”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1999, no. 5,  42–48  mathnet  mathscinet 2
1998
10. V. A. Sadovnichii, V. E. Podolskii, “A class of Sturm–Liouville operators and approximate calculation of the first eigenvalues”, Mat. Sb., 189:1 (1998),  133–148  mathnet  mathscinet  zmath; Sb. Math., 189:1 (1998), 129–145  isi  scopus 11
1997
11. E. V. Aleksandrova, O. V. Bochkareva, V. E. Podolskii, “Summation of regularized traces of the singular Sturm–Liouville operator”, Differ. Uravn., 33:3 (1997),  291–295  mathnet  mathscinet; Differ. Equ., 33:3 (1997), 287–291 2
12. A. N. Bobrov, V. E. Podolskii, “On the Convergence of the Trace of a Power of the Laplace–Beltrami Operator with a Potential on the Sphere $S^n$”, Funktsional. Anal. i Prilozhen., 31:4 (1997),  69–72  mathnet  mathscinet  zmath; Funct. Anal. Appl., 31:4 (1997), 280–282  isi 2
1996
13. V. A. Sadovnichii, V. E. Podolskii, “On the computation of the first eigenvalues of the Sturm–Liouville operator”, Dokl. Akad. Nauk, 346:2 (1996),  162–164  mathnet  mathscinet 7
1994
14. V. E. Podolskii, “The formula of the regularized trace for the Laplace–Beltrami operator with odd potential on the sphere $S^2$”, Mat. Zametki, 56:1 (1994),  71–77  mathnet  mathscinet  zmath; Math. Notes, 56:1 (1994), 699–703  isi 16
15. V. E. Podolskii, “Asymptotic behavior of the Weyl function for the Sturm–Liouville operator”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1994, no. 5,  38–44  mathnet  mathscinet  zmath
1993
16. V. A. Lyubishkin, V. E. Podolskii, “On the summability of regularized traces of differential operators”, Mat. Zametki, 54:2 (1993),  33–38  mathnet  mathscinet  zmath; Math. Notes, 54:2 (1993), 790–793  isi 10
1990
17. V. E. Podolskii, “Reconstruction of the Sturm–Liouville operator from its weighted zeta-function”, Dokl. Akad. Nauk SSSR, 313:3 (1990),  559–562  mathnet  mathscinet  zmath; Dokl. Math., 42:1 (1991), 53–56 1
1989
18. V. E. Podolskii, “Calculation of the values of a weighted zeta function of the Sturm–Liouville operator”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1989, no. 6,  54–56  mathnet  mathscinet  zmath
1988
19. V. E. Podolskii, “Regularized traces of some pseudodifferential operators on the circle”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1988, no. 6,  11–14  mathnet  mathscinet  zmath 1
2019
20. V. A. Sadovnichii, V. N. Chubarikov, B. S. Kashin, V. V. Vlasov, V. V. Galatenko, V. E. Podolskii, T. V. Rodionov, V. A. Skvortsov, A. P. Solodov, “Taras Pavlovich Lukashenko (to 70th anniversary)”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2019, no. 2,  70–71  mathnet
2014
21. V. V. Aleksandrov, V. P. Karlikov, V. E. Podolskii, A. T. Fomenko, V. N. Chubarikov, A. A. Shkalikov, “Academician Viktor Antonovich Sadovnichii to 75th anniversary”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2014, no. 4,  3–5  mathnet
2009
22. V. V. Aleksandrov, V. P. Karlikov, A. G. Kostyuchenko, V. E. Podolskii, A. T. Fomenko, V. N. Chubarikov, A. A. Shkalikov, “Viktor Antonovitch Sadovnichii (to 70th anniversary of the birthday)”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2009, no. 3,  3–6  mathnet  mathscinet

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