scholarly journals Paley-Wiener-type theorem for polynomial ultradifferentiable functions

2015 ◽  
Vol 7 (2) ◽  
pp. 271-279
Author(s):  
S.V. Sharyn
Keyword(s):  
Laplace Transformation ◽  
Type Theorem ◽  
Ultradifferentiable Functions ◽  
Wiener Theorem ◽  
Wiener Type

The image of the space of ultradifferentiable functions with compact supports under Fourier-Laplace transformation is described. An analogue of Paley-Wiener theorem for polynomial ultradifferentiable functions is proved.

scholarly journals Huygens’ principle and a Paley–Wiener type theorem on Damek–Ricci spaces

2010 ◽  
Vol 17 (2) ◽  
pp. 327-340 ◽  
Author(s):  
Francesca Astengo ◽  
Bianca Di Blasio
Keyword(s):  
Type Theorem ◽  
Wiener Type ◽  
Huygens Principle

scholarly journals A Wiener type theorem for (U(p,q) ,Hn)

2010 ◽  
Vol 119 (2) ◽  
pp. 169-180
Author(s):  
Linda Saal
Keyword(s):  
Type Theorem ◽  
Wiener Type

A Further Decay Estimate for the Dziubański–Hernández Wavelets

2010 ◽  
Vol 53 (1) ◽  
pp. 133-139 ◽  
Author(s):  
Shinya Moritoh ◽  
Kyoko Tomoeda
Keyword(s):  
Decay Estimate ◽  
Ultradifferentiable Functions ◽  
Wiener Theorem ◽  
Band Limited

AbstractWe give a further decay estimate for the Dziubański–Hernández wavelets that are band-limited and have subexponential decay. This is done by constructing an appropriate bell function and using the Paley–Wiener theorem for ultradifferentiable functions.

scholarly journals On a space of entire functions rapidly decreasing on Rn and its Fourier transform

2015 ◽  
Vol 2 (1) ◽  
Author(s):  
Il’dar Kh. Musin
Keyword(s):  
Fourier Transform ◽  
Entire Functions ◽  
Type Theorem ◽  
Complex Variables ◽  
Several Complex Variables ◽  
Weight Functions ◽  
Partial Derivatives ◽  
Wiener Type ◽  
Equivalent Description

AbstractA space of entire functions of several complex variables rapidly decreasing on Rn and such that their growth along iRn is majorized with the help of a family of weight functions is considered in this paper. For such space an equivalent description in terms of estimates on all of its partial derivatives as functions on Rn and a Paley-Wiener type theorem are obtained.

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