The Fourier transofrm technique for convolution equations in infinite dimensional lq-spaces.

Alexander L. Koldobskii

Displaying similar documents to “The Fourier transofrm technique for convolution equations in infinite dimensional lq-spaces.”

A characterization of Fourier transforms

Philippe Jaming (2010)

Colloquium Mathematicae

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The aim of this paper is to show that, in various situations, the only continuous linear (or not) map that transforms a convolution product into a pointwise product is a Fourier transform. We focus on the cyclic groups ℤ/nℤ, the integers ℤ, the torus 𝕋 and the real line. We also ask a related question for the twisted convolution.

Convolution in Colombeau's spaces of generalized functions. II: The convolution in $𝒢_{a}$ .

Nedeljkov, M., Pilipović, S. (1992)

Publications de l'Institut Mathématique. Nouvelle Série

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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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Characterization of Convolution Operators on Spaces of C-Functions Admitting a Continuous Linear Right Inverse.

Dietmar Vogt, Reinhold Meise (1987/88)

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A positivity result and normalization of positive convolution structures.

Michael Voit (1993)

Mathematische Annalen

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The Fourier transform of distributions and the exchange formula

B. Fisher, Li Chen Kuan, A. Takači (1988)

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On a generalization of the convolution

E. Gesztelyi (1970)

Annales Polonici Mathematici

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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)

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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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Bernoulli convolutions-an application of set theory in analysis

Robert Kaufman (1990)

Colloquium Mathematicae

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Convolution in Colombeau's spaces of generalized functions. II: The convolution in $𝒢_{a}$ .

Nedeljkov, M., Pilipović, S. (1992)

Publications de l'Institut Mathématique. Nouvelle Série

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On a convolution type integral I

S. R. Yadava (1972)

Matematički Vesnik

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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.

A Convolution Connected with the Kontorovich-Lebedev Transform.

Hans-Jürgen, Heß, Albrecht Glaeske (1986)

Mathematische Zeitschrift

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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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Convolution in Colombeau's Spaces of Generalized Functions; Part II: the Convolution in Ga

Marko Nedeljkov, Stevan Pilipović (1992)

Publications de l'Institut Mathématique

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