Title :
The generalized Hankel-Clifford transformation on M′α and its representation
Author :
Malgonde, S.P. ; Gorty, V.R.L.
Author_Institution :
Dept. of Math., Bract´s Vishwakarma Inst. of Technol., Pune, India
Abstract :
The generalized hankel-clifford transformations defined by equation with equation and equation with equation where equation being the Bessel function of the first kind and order (α − β) ≥ −1/ 2 were extended by Malgonde [8] to certain generalized functions and by Malgonde and Bandewar [7] to certain generalized functions of slow growth through a generalization of mixed Parseval´s equation as equation where f ∈ H′α(I) and ϕ ∈ Hα(I).
Keywords :
Bessel functions; statistical distributions; Bessel function; Schwartz distributions; convergence sense; distributional generalized Hankel-Clifford transformation; finite sum of derivatives; function space testing; kernel function; measurable functions; mixed Parseval´s equation; test function space; Convergence; Equations; Kernel; Strips; Testing; Topology; Transforms;
Conference_Titel :
Advances in Technology and Engineering (ICATE), 2013 International Conference on
Conference_Location :
Mumbai
Print_ISBN :
978-1-4673-5618-3
DOI :
10.1109/ICAdTE.2013.6524712
