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Sloushch, Vladimir Anatolevich

Statistics Math-Net.Ru
Total publications: 8
Scientific articles: 8

Number of views:
This page:608
Abstract pages:1240
Full texts:294
References:119
Candidate of physico-mathematical sciences (2000)
Speciality: 01.01.03 (Mathematical physics)
Birth date: 4.01.1973
E-mail:
Keywords: periodic Shrödinger operator, discrete spectrum in the gaps of the continuos one, Stark operator, Spectral Shift Function, large coupling constant.
UDC: 517.43

Subject:

Spectral theory of differential operators.

   
Main publications:
  1. V. A. Sloushch, “Discrete spectrum appearing in the spectral gaps under the strong perturbations with definite sign”, Trudy Sankt-Peterburgskogo mat. obshchestva, 6, 1998, 213–230  mathscinet  zmath
  2. V. A. Sloushch, “Discrete spectrum of the differential operators in the spectral gaps under non-negative perturbations of the high order”, Zapiski nauchnyh seminarov POMI, 270, 2000, 325–335  mathnet  mathscinet  zmath
  3. A. Pushnitski, V. Sloushch, “Spectral shift function for the Stark operator in the large coupling constant limit”, Asymptot. Anal., 51:1 (2007), 63–89  mathscinet
  4. V. A. Sloushch, “Some generalizations of the Cwikel estimate for the integral operators”, Trudy Sankt-Peterburgskogo mat. obshchestva, 14, 2008

http://www.mathnet.ru/eng/person34762
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/648582

Publications in Math-Net.Ru
2017
1. V. A. Sloushch, “Cwikel type estimate for the sandwiched Airy transform”, Algebra i Analiz, 29:2 (2017),  127–138  mathnet  mathscinet  elib; St. Petersburg Math. J., 29:2 (2018), 315–323  isi  scopus
2015
2. V. A. Sloushch, “Discrete spectrum of the periodic Schrödinger operator with a variable metric perturbed by a nonnegative rapidly decaying potential”, Algebra i Analiz, 27:2 (2015),  196–210  mathnet  mathscinet  elib; St. Petersburg Math. J., 27:2 (2016), 317–326  isi  scopus
2014
3. V. A. Sloushch, “Approximate commutation of a decaying potential and a function of elliptic operator”, Algebra i Analiz, 26:5 (2014),  215–227  mathnet  mathscinet  elib; St. Petersburg Math. J., 26:5 (2015), 849–857  isi  elib  scopus
2013
4. V. A. Sloushch, “Cwikel type estimates as a consequence of some properties of the heat kernel”, Algebra i Analiz, 25:5 (2013),  173–201  mathnet  mathscinet  zmath  elib; St. Petersburg Math. J., 25:5 (2014), 835–854  isi  scopus
2009
5. M. Sh. Birman, V. A. Sloushch, “Two-Sided Estimates for the Trace of the Difference of Two Semigroups”, Funktsional. Anal. i Prilozhen., 43:3 (2009),  26–32  mathnet  mathscinet  zmath  elib; Funct. Anal. Appl., 43:3 (2009), 184–189  isi  scopus
2000
6. V. A. Sloushch, “The discrete spectrum of differential operators in the spectral gaps in the case of nonnegative perturbations of higher order”, Zap. Nauchn. Sem. POMI, 270 (2000),  325–335  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 115:2 (2003), 2272–2278
7. V. A. Sloushch, “The discrete spectrum asymptotics with large coupling constant in the case of strong nonnegative perturbations”, Zap. Nauchn. Sem. POMI, 270 (2000),  317–324  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 115:2 (2003), 2267–2271
1997
8. V. A. Sloushch, “Discrete spectrum in the spectral gaps of a selfadjoint operator for unbounded perturbations”, Zap. Nauchn. Sem. POMI, 247 (1997),  237–241  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 101:3 (2000), 3190–3192

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