Convolution-type integral equations in the class of generalized functions

1967 ◽  
Vol 7 (3) ◽  
pp. 429-440
Author(s):  
V. B. Dybin ◽  
N. K. Karapetyants
Keyword(s):  
Integral Equations ◽  
Generalized Functions ◽  
Convolution Type ◽  
Type Integral

scholarly journals On an integral transform

1986 ◽  
Vol 9 (2) ◽  
pp. 283-292 ◽  
Author(s):  
D. Naylor
Keyword(s):  
Bessel Function ◽  
Integral Equations ◽  
Inversion Formula ◽  
Integral Transform ◽  
Zero Order ◽  
Convolution Type ◽  
Type Integral ◽  
Related Integral

This paper establishes properties of a convolution type integral transform whose kernel is a Macdonald type Bessel function of zero order. An inversion formula is developed and the transform is applied to obtain the solution of some related integral equations.

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