Deconvolution for the Pompeiu Problem on the Heisenberg Group, I

DOI10.1007/978-88-470-1947-8_6zbMath1248.44004OpenAlexW935016353MaRDI QIDQ2904998

Eric L. Grinberg, Wayne M. Eby, Der-Chen E. Chang

Publication date: 24 August 2012

Published in: The Mathematical Legacy of Leon Ehrenpreis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-88-470-1947-8_6

zbMATH Keywords

convergenceWeyl calculusHeisenberg groupdeconvolutionreconstructionGelfand transformgroup Fourier transformPompeiu transform

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups (43A25)

Cites Work

• Le problème de la deconvolution
• A local version of the two-circles theorem
• The spherical transform of a Schwartz function on the Heisenberg group
• Injectivity of the Pompeiu transform in the Heisenberg group
• \(L^p\) results for the Pompeiu problem with moments on the Heisenberg group
• Mean values and differential equations
• [https://portal.mardi4nfdi.de/wiki/Publication:3236033 Solutions of Some Problems of Division: Part III. Division in the Spaces, D � , H, Q A , O]
• Harmonic Analysis in Phase Space. (AM-122)
• Tauberian theorem for m‐spherical transforms on the Heisenberg group
• Generators for some rings of analytic functions
• Solution of Some Problems of Division: Part I. Division by a Polynomial of Derivation
• Solution of Some Problems of Division: Part II. Division by a Punctual Distribution
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