Zur Faltung von Distributionen. (On convolution of distributions)

DOI10.1007/BF01450842zbMath0592.46035MaRDI QIDQ1075557

Peter Wagner

Publication date: 1987

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164212

zbMATH Keywords

convolution equationhomogeneous distribution

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Operations with distributions and generalized functions (46F10)

Related Items (13)

On some contributions of John Horváth to the theory of distributions ⋮ On extremal domains and codomains for convolution of distributions and fractional calculus ⋮ Convolvability and regularization of distributions ⋮ Improved Epstein-Glaser renormalization in \(x\)-space versus differential renormalization ⋮ Compatibility conditions and the convolution of functions and generalized functions ⋮ Convolution and Anti-Wick Quantisation on Ultradistribution Spaces ⋮ Anti-Wick and Weyl quantization on ultradistribution spaces ⋮ New distribution spaces associated to translation-invariant Banach spaces ⋮ On the convolution in gel'fand—shilov spaces ⋮ On convolvability conditions for distributions ⋮ Convolution with the kernel \(e^{s\langle x\rangle^q}\), \(q\geq 1\), \(s>0\) within ultradistribution spaces ⋮ On the convolution in the gel'fand-shilov spaces ⋮ Four particular cases of the Fourier transform

Cites Work

• Lectures on partial differential equations. Delivered at the Indian Institute of Science, Bangalore. Notes by K. T. Joseph and S. Thangavelu
• Analytic continuation and convolution of hypersingular higher Hilbert- Riesz kernels
• Irreducibility of certain entire functions with applications to harmonic analysis
• Singular integrals
• Transformation de Fourier des distributions homogènes
• Composition of hypersingular integral operators
• Convolution and \(\mathcal S'\)-convolution of distributions
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