abelian theorems
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Filomat ◽  
2020 ◽  
Vol 34 (11) ◽  
pp. 3655-3662
Author(s):  
B.J. González ◽  
E.R. Negrín

The main purpose of this article is to exhibit Abelian theorems for the Laplace and the Mehler-Fock transforms of general order over distributions of compact support and over certain spaces of generalized functions.


2017 ◽  
Vol 28 (1) ◽  
pp. 179-190
Author(s):  
S. K. Upadhyay ◽  
Reshma Singh

2017 ◽  
Vol 24 (2) ◽  
pp. 278-278
Author(s):  
H. M. Srivastava ◽  
B. J. González ◽  
E. R. Negrín
Keyword(s):  

2017 ◽  
Vol 10 (01) ◽  
pp. 1750019
Author(s):  
Akhilesh Prasad ◽  
Praveen Kumar

In this paper, initial and final value Abelian theorems for fractional wavelet transform of function and tempered distributions are obtained. Using Mexican hat wavelet function, an application for Abelian theorems is investigated.


2017 ◽  
Vol 24 (1) ◽  
pp. 124-126 ◽  
Author(s):  
H. M. Srivastava ◽  
B. J. González ◽  
E. R. Negrín
Keyword(s):  

2011 ◽  
Vol 127 (2) ◽  
pp. 179-183
Author(s):  
RICHARD D. CARMICHAEL

Abstract Limit results are obtained for the Stieltjes transform of generalized functions as the domain complex variable s approaches ∞ (final value results) in the right half plane. These results are of equivalent form as results for the transform as s approaches 0 (initial value results) in the right half plane.


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