Some remarks on convolution equations

DOI10.5802/aif.444zbMath0241.46039OpenAlexW2322642205MaRDI QIDQ2553771

M. A. Dostal, Carlos. A. Berenstein

Publication date: 1973

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1973__23_1_55_0

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10) Topological linear spaces of test functions, distributions and ultradistributions (46F05)

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Cites Work

• Existence et approximation des solutions des équations aux dérivées partielles et des équations de convolution
• On the range of convolution operators
• Supports and singular supports of convolutions
• A complex characterization of the Schwartz space \({\mathcal D}(\Omega)\)
• Analytically uniform spaces and their applications to convolution equations
• An Analogue of a Theorem of Vladimir Bernstein and its Applications to Singular Supports of Distributions
• Topological Properties of Analytically Uniform Spaces
• Fourier transforms of the beurling classes $\mathfrak{D}_\omega ,\,\varepsilon '_\omega$
• 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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