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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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.
Schmeelk, John (2001)
International Journal of Mathematics and Mathematical Sciences
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Schmeelk, John (1990)
International Journal of Mathematics and Mathematical Sciences
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Colin C. Graham (1976)
Colloquium Mathematicae
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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.
Louis Pigno (1981)
Colloquium Mathematicae
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S. Hartman (1975)
Colloquium Mathematicae
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W. Kierat (1984)
Studia Mathematica
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Raimond Struble (1984)
Studia Mathematica
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Sousa Pinto, J. (1991)
Portugaliae mathematica
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Z. Zieleźny (1964)
Studia Mathematica
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