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Funktsional'nyi Analiz i ego Prilozheniya, 2020, Volume 54, Issue 4, Pages 102–105
DOI: https://doi.org/10.4213/faa3737 (Mi faa3737) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Brief communications

Generalized Trace Formula for PolynomialsOrthogonal in Continuous-Discrete Sobolev Spaces

B. P. Osilenker

Library for Information and Educational Resources, Moscow, Russia
Full-text PDF (404 kB) Citations (1) English version article
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DOI: https://doi.org/10.4213/faa3737
Abstract: In continuous-discrete Sobolev spaces a generalized trace formula for orthogonal polynomials $\{\widehat{q}_n\}_{n=0}^\infty$ is obtained. The proof of this formula is based on the representation of the Fejér kernel for the system $\{\widehat{q}_n\}_{n=0}^\infty$. As a consequence, a generalized trace formula for Gegenbauer–Sobolev polynomials in a discrete Sobolev space is obtained.
Keywords: orthogonal polynomials, trace formula, Fejér kernel, Gegenbauer–Sobolev polynomials, continuous-discrete spaces, Sobolev spaces, symmetric polynomials, Chebyshev polynomials.
Received: 14.10.2019
Revised: 12.04.2020
Accepted: 06.05.2020
English version:
Functional Analysis and Its Applications, 2020, Volume 54, Issue 4, Pages 310–312
DOI: https://doi.org/10.1134/S0016266320040097
Bibliographic databases:
Document Type: Article
UDC: 517.518.36
MSC: 42C10
Language: Russian
Citation: B. P. Osilenker, “Generalized Trace Formula for PolynomialsOrthogonal in Continuous-Discrete Sobolev Spaces”, Funktsional. Anal. i Prilozhen., 54:4 (2020), 102–105; Funct. Anal. Appl., 54:4 (2020), 310–312
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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