Hermite functions and inner product in Sobolev space

DOI10.20310/2686-9667-2023-28-142-155-168OpenAlexW4385060740MaRDI QIDQ6081736

Mohamed-Ahmed Boudref

Publication date: 5 October 2023

Published in: Russian Universities Reports. Mathematics (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vtamu286

zbMATH Keywords

Sobolev spaceinner productHermite polynomials

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10)

Cites Work

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• Approximation of functions of variable smoothness by Fourier-Legendre sums
• Sobolev-orthogonal systems of functions associated with an orthogonal system
• Mean Convergence of Expansions in Laguerre and Hermite Series
• Approximation properties of mixed series in terms of Legendre polynomials on the classes $ {W^r}$
• Mean Convergence of Hermite and Laguerre Series. I
• Inner product and Gegenbauer polynomials in Sobolev space

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