On solvability of convolution equations in spaces of generalized distributions with restricted growth

DOI10.1006/JMAA.1999.6301zbMath0927.46024OpenAlexW2076109669MaRDI QIDQ1289054

Saleh Abdullah

Publication date: 24 May 1999

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1999.6301

zbMATH Keywords

Fourier transformPaley-Wiener theoremconvolution equationsexponential growthsolvability in spaces of generalized distributionsspace of convolution operators

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10) Integral operators (45P05) Linear operators on function spaces (general) (47B38)

Related Items (1)

Complex fractional Zener model of wave propagation in \(\mathbb{R}\)

Cites Work

• Solvability of convolution equations in \(K_ M'\)
• Solvability of convolution equations in spaces of generalized distributions with restricted growth
• Relation between solvability and a regularity of convolution operators in \(\mathcal{K}'_ p\), \(p>1\)
• Linear partial differential operators and generalized distributions
• La dualité dans les espaces \((\mathcal F)\) et \((\mathcal{LF})\)

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