The Fourier transform of distributions and the exchange formula
B. Fisher, Li Chen Kuan, A. Takači (1988)
Matematički Vesnik
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B. Fisher, Li Chen Kuan, A. Takači (1988)
Matematički Vesnik
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R. Bhuvaneswari, V. Karunakaran (2010)
Annales UMCS, Mathematica
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Function spaces of type S are introduced and investigated in the literature. They are also applied to study the Cauchy problem. In this paper we shall extend the concept of these spaces to the context of Boehmian spaces and study the Fourier transform theory on these spaces. These spaces enable us to combine the theory of Fourier transform on these function spaces as well as their dual spaces.
R. Bhuvaneswari, V. Karunakaran (2010)
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica
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Function spaces of type S are introduced and investigated in the literature. They are also applied to study the Cauchy problem. In this paper we shall extend the concept of these spaces to the context of Boehmian spaces and study the Fourier transform theory on these spaces. These spaces enable us to combine the theory of Fourier transform on these function spaces as well as their dual spaces.
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.
Robert Kaufman (1990)
Colloquium Mathematicae
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Colin C. Graham (1976)
Colloquium Mathematicae
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Louis Pigno (1981)
Colloquium Mathematicae
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S. Hartman (1975)
Colloquium Mathematicae
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Raimond Struble (1984)
Studia Mathematica
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W. Kierat (1984)
Studia Mathematica
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Schmeelk, John (1990)
International Journal of Mathematics and Mathematical Sciences
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Nguyen Xuan Thao (2010)
Mathematical Problems in Engineering
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Sousa Pinto, J. (1991)
Portugaliae mathematica
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Wolfgang Arendt (1985)
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Schmeelk, John (2001)
International Journal of Mathematics and Mathematical Sciences
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Marko Nedeljkov, Stevan Pilipović (1992)
Publications de l'Institut Mathématique
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