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Kazarian, Kazaros Sogomonovich
Senior Researcher
Doctor of physico-mathematical sciences (1979)
Speciality: 01.01.01 (Real analysis, complex analysis, and functional analysis)
E-mail:
Keywords: convergence and divergence of orthogonal series, weighted mean inequalities, representation of functions, wavelets, bases and unconditional bases.
UDC: 517.5, 517.51, 517.592

Subject:

Fourier analysis, orthogonal series, wavelet analysis, weighted mean inequalities, theory of bases.
   
Main publications:
  1. K. S. Kazarian, “On some questions in the theory of orthogonal series”, Mat. Sbornik, 119(161):2(10) (1982), 278–294  mathnet  mathscinet  zmath
  2. K. S. Kazarian, “Divergent orthogonal Fourier series”, Mat. Sbornik, 182:7 (1991), 985–1008  mathnet  mathscinet  zmath
  3. K. S. Kazarian, “On the Ul'yanov problem”, Mat. Sbornik, 197:12 (2006), 95–116  mathnet  mathscinet  zmath
  4. K. S. Kazarian, “Weighted norm inequalities for some classes of singular integrals”, Studia Mathematica, 86 (1987), 97–130  mathscinet  zmath
  5. K. S. Kazarian, “A complete orthonormal system of divergence”, Journal of Funcional Analysis, 214:2 (2004), 284–311  crossref  mathscinet  zmath

https://www.mathnet.ru/eng/person8604
https://scholar.google.com/citations?user=ynaPjscAAAAJ&hl=en
https://mathscinet.ams.org/mathscinet/MRAuthorID/196563

Full list of publications: Download file (69 kB)

Publications in Math-Net.Ru Citations
2018
1. K. S. Kazarian, A. San Antolin, “Wavelets and Bidemocratic Pairs in Weighted Norm Spaces”, Mat. Zametki, 104:4 (2018),  527–538  mathnet  mathscinet  elib; Math. Notes, 104:4 (2018), 508–517  isi  scopus
2013
2. K. S. Kazarian, V. N. Temlyakov, “Hilbert spaces of vector-valued functions generated by quadratic forms”, J. Math. Anal. Appl., 402:1 (2013),  334–347  mathnet  mathscinet  zmath  isi  scopus
3. K. Kazarian, V. N. Temlyakov, “Greedy bases in $L^p$ spaces”, Trudy Mat. Inst. Steklova, 280 (2013),  188–197  mathnet  mathscinet  zmath  elib; Proc. Steklov Inst. Math., 280 (2013), 181–190  isi  elib  scopus 4
2008
4. Kazaros Kazarian, E. M. Semenov, S. N. Uksusov, “Bases of rearrangement-invariant spaces”, Izv. Vyssh. Uchebn. Zaved. Mat., 2008, no. 5,  48–54  mathnet  mathscinet  zmath  elib; Russian Math. (Iz. VUZ), 52:5 (2008), 41–46
2006
5. K. S. Kazarian, “On the Ul'yanov problem”, Mat. Sb., 197:12 (2006),  95–116  mathnet  mathscinet  zmath  elib; Sb. Math., 197:12 (2006), 1805–1826  isi  scopus
2004
6. K. S. Kazarian, E. M. Semenov, “RUC Bases and the Olevskii System”, Mat. Zametki, 75:4 (2004),  566–579  mathnet  mathscinet  zmath  elib; Math. Notes, 75:4 (2004), 530–541  isi 1
2003
7. M. I. Dyachenko, K. S. Kazarian, P. Cifuentes, “The essential divergence in measure of function sequences and series”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2003, no. 3,  22–29  mathnet  mathscinet  zmath
2002
8. M. I. Dyachenko, K. S. Kazarian, “On sets of convergence and divergence of multiple orthogonal series”, Mat. Sb., 193:9 (2002),  41–62  mathnet  mathscinet  zmath; Sb. Math., 193:9 (2002), 1281–1301  isi  scopus 2
2000
9. K. S. Kazarian, D. Waterman, “Theorems on representation of functions by series”, Mat. Sb., 191:12 (2000),  123–140  mathnet  mathscinet  zmath; Sb. Math., 191:12 (2000), 1873–1889  isi  scopus 5
1998
10. J. Garcia-Cuerva, K. S. Kazarian, V. I. Kolyada, J. L. Torrea, “Vector-valued Hausdorff–Young inequality and applications”, Uspekhi Mat. Nauk, 53:3(321) (1998),  3–84  mathnet  mathscinet  zmath; Russian Math. Surveys, 53:3 (1998), 435–513  isi  scopus 34
1997
11. K. Kazarian, F. Soria, I. Spitkovsky, “The Riemann boundary value problem in spaces with a weight that admits singularities”, Dokl. Akad. Nauk, 353:6 (1997),  717–719  mathnet  mathscinet  zmath 1
1993
12. K. S. Kazarian, “Closed minimal systems in general separable Banach spaces and in $L_p$, $1\leqslant p<\infty$”, Mat. Zametki, 53:3 (1993),  51–61  mathnet  mathscinet  zmath; Math. Notes, 53:3 (1993), 279–286  isi
1991
13. K. S. Kazarian, P. L. Ul'yanov, “On a problem of Alexits with respect to the divergence of orthogonal Fourier series”, Dokl. Akad. Nauk SSSR, 316:3 (1991),  542–546  mathnet  mathscinet  zmath; Dokl. Math., 43:1 (1991), 132–136 2
14. K. S. Kazarian, “Divergent orthogonal Fourier series”, Mat. Sb., 182:7 (1991),  985–1008  mathnet  mathscinet  zmath; Math. USSR-Sb., 73:2 (1992), 355–377  isi 6
1989
15. K. S. Kazarian, P. I. Lizorkin, “Multiplicators, basises, unconditional basises in weighted spaces В and SB”, Trudy Mat. Inst. Steklov., 187 (1989),  98–115  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 187 (1990), 111–130 2
1988
16. K. S. Kazarian, “The Dirichlet problem in a weighted metric for a ball in $R^n$, $n\ge3$”, Dokl. Akad. Nauk SSSR, 301:5 (1988),  1044–1048  mathnet  mathscinet  zmath; Dokl. Math., 38:1 (1989), 170–173
17. K. S. Kazarian, “Weighted inequalities for families of operators generated by truncated Cesàro kernels”, Izv. Akad. Nauk SSSR Ser. Mat., 52:2 (1988),  287–309  mathnet  mathscinet  zmath; Math. USSR-Izv., 32:2 (1989), 289–311 1
1986
18. K. S. Kazarian, “Summability of generalized Fourier series in a weighted metric and almost everywhere”, Dokl. Akad. Nauk SSSR, 287:3 (1986),  543–546  mathnet  mathscinet  zmath 1
1983
19. K. S. Kazarian, “Uniform continuity in weighted spaces $L^p$, $1\le p<\infty$, of families of operators generated by truncated kernels”, Dokl. Akad. Nauk SSSR, 272:5 (1983),  1048–1052  mathnet  mathscinet  zmath 1
1982
20. K. S. Kazarian, “On some questions in the theory of orthogonal series”, Mat. Sb. (N.S.), 119(161):2(10) (1982),  278–294  mathnet  mathscinet  zmath; Math. USSR-Sb., 47:1 (1984), 269–285 15

Presentations in Math-Net.Ru
1. On Beurling's approximation theorem
K. Kazarian
Approximation and discretization
September 1, 2021 12:30   

Organisations