The Fourier transform of distributions and the exchange formula
B. Fisher, Li Chen Kuan, A. Takači (1988)
Matematički Vesnik
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Displaying similar documents to “A characterization of Fourier transforms”
The Fourier transform of distributions and the exchange formula
Convolution in Colombeau's Spaces of Generalized Functions; Part I: the Space Ga and the A-integral
Marko Nedeljkov, Stevan Pilipović (1992)
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On the Fourier transform, Boehmians, and distributions
Dragu Atanasiu, Piotr Mikusiński (2007)
Colloquium Mathematicae
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We introduce some spaces of generalized functions that are defined as generalized quotients and Boehmians. The spaces provide simple and natural frameworks for extensions of the Fourier transform.
Bernoulli convolutions-an application of set theory in analysis
Robert Kaufman (1990)
Colloquium Mathematicae
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On the polyconvolution with the weight function for the Fourier cosine, Fourier sine, and the Kontorovich-Lebedev integral transforms.
Nguyen Xuan Thao (2010)
Mathematical Problems in Engineering
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Convolution in Colombeau's spaces of generalized functions. II: The convolution in .
Nedeljkov, M., Pilipović, S. (1992)
Publications de l'Institut Mathématique. Nouvelle Série
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On a generalization of the convolution
E. Gesztelyi (1970)
Annales Polonici Mathematici
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The Fourier transofrm technique for convolution equations in infinite dimensional lq-spaces.
Alexander L. Koldobskii (1991)
Mathematische Annalen
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A note on the convolution in the Mellin sense with generalized functions.
Kilicman, Adem, Kamel Ariffin, Muhammad Rezal (2002)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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On a new approach to convolution constructions.
Yakubovich, S.B., Kalla, Shyam L. (1993)
International Journal of Mathematics and Mathematical Sciences
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On Fourier coefficients and factorable operators.
Faragallah, M., Elshobaky, E. (2002)
Southwest Journal of Pure and Applied Mathematics [electronic only]
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On some classes of infinitely decomposable Sobolev-Schwartz test functions
Jan Mikusiński (1985)
Annales Polonici Mathematici
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A Direct Approach to the Mellin Transform.
Paul L. Butzer, Stefan Jansche (1997)
The journal of Fourier analysis and applications [[Elektronische Ressource]]
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The Gelfand transforms of a convolution measure algebra
Colin C. Graham (1975)
Colloquium Mathematicae
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Convolution in Colombeau's spaces of generalized functions. II: The convolution in .
Nedeljkov, M., Pilipović, S. (1992)
Publications de l'Institut Mathématique. Nouvelle Série
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Convolution equations in the space of Laplace distributions
Maria E. Pliś (1998)
Annales Polonici Mathematici
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A formal solution of a nonlinear equation P(D)u = g(u) in 2 variables is constructed using the Laplace transformation and a convolution equation. We assume some conditions on the characteristic set Char P.