Bounds on the Segal-Bargmann Transform of L... Functions.
Brian C. Hall (2001)
The journal of Fourier analysis and applications [[Elektronische Ressource]]
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Brian C. Hall (2001)
The journal of Fourier analysis and applications [[Elektronische Ressource]]
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Vu Kim Tuan (1998)
The journal of Fourier analysis and applications [[Elektronische Ressource]]
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Boris Rubin (1998)
The journal of Fourier analysis and applications [[Elektronische Ressource]]
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B. Fisher, Li Chen Kuan, A. Takači (1988)
Matematički Vesnik
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Yakubovich, S.B., Kalla, Shyam L. (1993)
International Journal of Mathematics and Mathematical Sciences
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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.
M.A. Mourou, K. Trimèche (1998)
The journal of Fourier analysis and applications [[Elektronische Ressource]]
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Bellman, Richard (1978)
International Journal of Mathematics and Mathematical Sciences
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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.
Alireza Ansari (2012)
Kragujevac Journal of Mathematics
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Robert Kaufman (1990)
Colloquium Mathematicae
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R.J. Beerends (1987)
Mathematische Annalen
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Boris Rubin (2000)
The journal of Fourier analysis and applications [[Elektronische Ressource]]
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Nguyen Xuan Thao (2010)
Mathematical Problems in Engineering
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Shrideh K.Q. Al-Omari, Jafar F. Al-Omari (2015)
Open Mathematics
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In this paper, we establish certain spaces of generalized functions for a class of ɛs2,1 transforms. We give the definition and derive certain properties of the extended ɛs2,1 transform in a context of Boehmian spaces. The extended ɛs2,1 transform is therefore well defined, linear and consistent with the classical ɛs2,1 transforms. Certain results are also established in some detail.
Marko Nedeljkov, Stevan Pilipović (1992)
Publications de l'Institut Mathématique
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