On Gauss-Weierstrass semigroups and inversion of potentials associated with the Bessel differential operator

DOI10.1007/s10114-009-6458-7zbMath1180.26004OpenAlexW2036864405MaRDI QIDQ1044352

Mehmet Zeki Sarikaya, Hüseyin Yıldırım

Publication date: 11 December 2009

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-009-6458-7

zbMATH Keywords

convolutionsemigroupSchwartz spaceRiesz potentialBessel potentialGauss-Weierstrass kernel

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Fractional derivatives and integrals (26A33) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37)

Cites Work

• Dirichlet forms and symmetric Markov processes
• Parabolic potentials and wavelet transforms with the generalized translation
• Almost everywhere summability of Laguerre series
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