Theorems on Restriction of Fourier–Bessel and Multidimensional Bessel Transforms to Spherical Surfaces

DOI10.1007/978-3-030-35914-0_8zbMath1442.42021OpenAlexW3015978817MaRDI QIDQ3296649

A. A. Larin

Publication date: 1 July 2020

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-35914-0_8

zbMATH Keywords

Fourier transformSobolev spacesBessel functionsBessel transformgeneralized translationrestriction to surfaces

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Summability and absolute summability of Fourier and trigonometric series (42A24) Singular elliptic equations (35J75)

Cites Work

• Uniform Sobolev inequalities and unique continuation for second order constant coefficient differential operators
• Restrictions of Fourier transforms to quadratic surfaces and decay of solutions of wave equations
• A restriction theorem for the Fourier transform
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