The infinite-order integro-differential operator related to the Lebedev-Skalskaya transform

DOI10.1007/s11868-024-00596-0zbMATH Open1548.44002MaRDI QIDQ6592847

Ajay K. Gupt, Akhilesh Prasad

Publication date: 26 August 2024

Published in: Journal of Pseudo-Differential Operators and Applications (Search for Journal in Brave)

zbMATH Keywords

convolutioninfinite-order differential operatorLebedev-Skalskaya transformWatson theorem

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Ordinary differential equations of infinite order (34A35) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

Cites Work

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• Integral transforms of Fourier cosine convolution type
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• Integral transforms related to a generalized convolution
• Reverse convolution inequalities for Lebedev-Skalskaya transforms
• Beurling's theorems and inversion formulas for certain index transforms
• Infinite-Order Differential Equations and the Heat Equation
• Lebedev–Skalskaya transforms on certain function spaces and associated pseudo-differential operators
• Lebedev–Skalskaya transforms and allied operators on certain function spaces
• The integro‐differential operators of infinite order on the half line related to the Legendre operator

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