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.
V. A. Sadovnichii, V. E. Podolskii, “Regularized traces of discrete operators”, Trudy Inst. Mat. i Mekh. UrO RAN, 12:2 (2006), 162–177; Proc. Steklov Inst. Math. (Suppl.), 255, suppl. 2 (2006), S161–S177
V. A. Sadovnichii, V. E. Podolskii, “Traces of operators with relatively compact perturbations”, Mat. Sb., 193:2 (2002), 129–152; Sb. Math., 193:2 (2002), 279–302
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; Differ. Equ., 35:4 (1999), 557–566
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; Sb. Math., 190:10 (1999), 1401–1415
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; Sb. Math., 189:1 (1998), 129–145
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; Differ. Equ., 33:3 (1997), 287–291
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; Funct. Anal. Appl., 31:4 (1997), 280–282
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
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; Math. Notes, 56:1 (1994), 699–703
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
1993
14.
V. A. Lyubishkin, V. E. Podolskii, “On the summability of regularized traces of differential operators”, Mat. Zametki, 54:2 (1993), 33–38; Math. Notes, 54:2 (1993), 790–793
V. E. Podolskii, “Reconstruction of the Sturm–Liouville operator from its weighted zeta-function”, Dokl. Akad. Nauk SSSR, 313:3 (1990), 559–562; Dokl. Math., 42:1 (1991), 53–56
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
1988
17.
V. E. Podolskii, “Regularized traces of some pseudodifferential operators on the circle”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1988, no. 6, 11–14
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
2014
19.
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
2009
20.
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
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