Tempered distributions with spectral gaps

DOI10.1017/S0305004100068043zbMath0686.46032MaRDI QIDQ4204645

Jean-Pierre Gabardo

Publication date: 1989

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

convolution operatorsdistributional limitstempered distributions having their Fourier transforms in particular sets

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Integral transforms in distribution spaces (46F12) Operations with distributions and generalized functions (46F10)

Related Items (10)

Paley-Wiener theorems for the two-sided quaternion Fourier transform ⋮ Paley-Wiener theorems of generalized Fourier transform associated with a Cherednik type operator on the real line ⋮ Spectral theorems associated with the Cherednik operators on \(\mathbb R^d\) ⋮ Spectrum of functions and distributions for the Jacobi-Dunkl transform on \(\mathbb R\) ⋮ Spectral theorems associated with the Jacobi-Cherednik operator ⋮ Characterization of Eigenfunctions of the Laplacian by Boundedness Conditions ⋮ SPECTRAL THEOREMS ASSOCIATED TO THE DUNKL OPERATORS ⋮ Roe's theorem revisited ⋮ Tempered Gevrey distributions with spectral gaps and their applications ⋮ On the range of the Opdam-Cherednik transform and Roe's theorem in the Cherednik setting

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