scholarly journals Continuity of pseudo-differential operatorhμ,ainvolving Hankel translation and Hankel convolution on some Gevrey spaces

2010 ◽  
Vol 21 (6) ◽  
pp. 465-477 ◽  
Author(s):  
Akhilesh Prasad ◽  
Manish Kumar
Keyword(s):  
Gevrey Spaces ◽  
Hankel Translation ◽  
Hankel Convolution

scholarly journals A generalized Hankel convolution on Zemanian spaces

2000 ◽  
Vol 23 (2) ◽  
pp. 131-140
Author(s):  
Jorge J. Betancor
Keyword(s):  
Slow Growth ◽  
Hankel Convolution ◽  
Distribution Spaces

We define a new generalized Hankel convolution on the Zemanian distribution spaces of slow growth.

scholarly journals Wiener-Hopf equation and Fredholm property of the Goursat problem in Gevrey space

1994 ◽  
Vol 135 ◽  
pp. 165-196 ◽  
Author(s):  
Masatake Miyake ◽  
Masafumi Yoshino
Keyword(s):  
Differential Equations ◽  
Differential Operators ◽  
Newton Polygon ◽  
Index Theorem ◽  
Fredholm Property ◽  
Goursat Problem ◽  
Point Of View ◽  
Partial Differential ◽  
Partial Differential Operators ◽  
Gevrey Spaces

In the study of ordinary differential equations, Malgrange ([Ma]) and Ramis ([R1], [R2]) established index theorem in (formal) Gevrey spaces, and the notion of irregularity was nicely defined for the study of irregular points. In their studies, a Newton polygon has a great advantage to describe and understand the results in visual form. From this point of view, Miyake ([M2], [M3], [MH]) studied linear partial differential operators on (formal) Gevrey spaces and proved analogous results, and showed the validity of Newton polygon in the study of partial differential equations (see also [Yn]).

Hankel Convolution Operators on Spaces of Entire Functions of Finite Order

2005 ◽  
Vol 48 (2) ◽  
pp. 161-174 ◽  
Author(s):  
Jorge J. Betancor
Keyword(s):  
Finite Order ◽  
Entire Functions ◽  
Convolution Operators ◽  
Hankel Transforms ◽  
Hankel Convolution

AbstractIn this paper we study Hankel transforms and Hankel convolution operators on spaces of entire functions of finite order and their duals.

The relation between Bessel wavelet convolution product and Hankel convolution product involving Hankel transform

2017 ◽  
Vol 15 (04) ◽  
pp. 1750030 ◽  
Author(s):  
S. K. Upadhyay ◽  
Reshma Singh ◽  
Alok Tripathi
Keyword(s):  
Wavelet Transform ◽  
Hankel Transform ◽  
Convolution Product ◽  
Hankel Transformation ◽  
Hankel Convolution ◽  
Transform Approximation

In this paper, the relation between Bessel wavelet convolution product and Hankel convolution product is obtained by using the Bessel wavelet transform and the Hankel transform. Approximation results of the Bessel wavelet convolution product are investigated by exploiting the Hankel transformation tool. Motivated from the results of Pinsky, heuristic treatment of the Bessel wavelet transform is introduced and other properties of the Bessel wavelet transform are studied.

Integrability of the continuum Bessel wavelet kernel

2015 ◽  
Vol 13 (05) ◽  
pp. 1550032 ◽  
Author(s):  
S. K. Upadhyay ◽  
Reshma Singh
Keyword(s):  
Wavelet Transform ◽  
Hankel Transform ◽  
Sufficient Condition ◽  
Hankel Convolution ◽  
The Continuum

In this paper, the sufficient condition for the integrability of the kernel of the inverse Bessel wavelet transform is obtained by using the theory of Hankel transform and Hankel convolution.

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