Integral representations of pseudo-differential operator associated with the Jacobi differential operator

DOI10.1007/s12215-016-0256-8zbMath1398.35307OpenAlexW2514334556MaRDI QIDQ1696501

Akhilesh Prasad, Manoj Kumar Singh

Publication date: 14 February 2018

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-016-0256-8

zbMATH Keywords

Gauss hypergeometric functionpseudo-differential operatorSchwartz spaceSobolev type spaceFourier-Jacobi transform

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Integral transforms in distribution spaces (46F12) Integral representations of solutions to PDEs (35C15)

Cites Work

• Jacobi functions: the addition formula and the positivity of the dual convolution structure
• Pseudo-differential operators associated with the Jacobi differential operator
• Convolution semigroups and central limit theorem associated with a dual convolution structure
• Certain pseudo-differential operator associated with the Bessel operator
• Hypoelliptic Jacobi convolution operators on Schwartz distributions
• Paley-Wiener type theorems for a differential operator connected with symmetric spaces
• The convolution structure for Jacobi function expansions
• The product of pseudo-differential operators associated with Bessel operators
• Sobolev type spaces associated with jacobi differential operators
• Pseudo-differential operators associated with the Jacobi differential operator and Fourier-cosine wavelet transform
• An Introduction to Pseudo-Differential Operators
• \(L_\mu^p\)-boundedness of the pseudo-differential operator associated with the Bessel operator
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