Hypoelliptic Jacobi convolution operators on Schwartz distributions

DOI10.1007/s11117-003-5370-0zbMath1079.46028OpenAlexW1993080552MaRDI QIDQ1780507

J. M. R. Méndez, J. D. Betancor, Jorge J. Betancor

Publication date: 13 June 2005

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-003-5370-0

zbMATH Keywords

Schwartz distributionshypoellipticChébli-Triméche hypergroupsJacobi convolution equations

Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12)

Related Items (3)

Integral representations of pseudo-differential operator associated with the Jacobi differential operator ⋮ Hypoelliptic convolution equations in the space of distributions on noncompact semi-simple Lie groups ⋮ Pseudo-differential operators associated with the Jacobi differential operator and Fourier-cosine wavelet transform

Cites Work

• A new proof of a Paley-Wiener type theorem for the Jacobi transform
• 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
• Mehler integral transform associated with Jacobi functions with respect to the dual variable
• A Paley-Wiener theorem for the inverse spherical transform
• Sur un théorème de Paley-Wiener associe à la décomposition spectrale d'un opérateur de Sturm-Liouville sur \([0, \infty\)]
• Hypoellipticity of Hankel convolution equations on Schwartz distribution spaces
• Paley-Wiener type theorems for a differential operator connected with symmetric spaces
• The convolution structure for Jacobi function expansions
• Solution of Some Problems of Division. Part IV. Invertible and Elliptic Operators
• Maximal Functions Associated with The Jacobi Transform

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