Sonine-Dimovski transform and spectral synthesis associated with the hyper-Bessel operator on the complex plane

DOI10.1007/S13540-022-00090-8zbMath1503.26004OpenAlexW4297094073MaRDI QIDQ2110562

Lassad Bennasr

Publication date: 21 December 2022

Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13540-022-00090-8

zbMATH Keywords

convolutioninvariant subspacespectral synthesisgeneralized Fourier transformtransmutation operatorsgeneralized fractional calculushyper-Bessel functionshyper-Bessel operators

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Fractional derivatives and integrals (26A33) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) General integral transforms (44A05) Completeness problems, closure of a system of functions of one complex variable (30B60)

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