Generalized Convolution Transforms and Toeplitz Plus Hankel Integral Equations
Fractional calculus and applied analysis, Tome 11 (2008) no. 2, pp. 153-174
Voir la notice de l'article provenant de la source Bulgarian Digital Mathematics Library
With the help of a generalized convolution and prove Watson’s and Plancherel’s theorems. Using
generalized convolutions a class of Toeplitz plus Hankel integral equations,
and also a system of integro-differential equations are solved in closed form.
Keywords:
Convolution, Fourier Sine Transform, Fourier Cosine Transform, Toeplitz Plus Hankel Integral Equation, Plancherel Theorem, 44A05, 44A35
@article{FCAA_2008_11_2_a2,
author = {Xuan Thao, Nguyen and Kim Tuan, Vu and Thanh Hong, Nguyen},
title = {Generalized {Convolution} {Transforms} and {Toeplitz} {Plus} {Hankel} {Integral} {Equations}},
journal = {Fractional calculus and applied analysis},
pages = {153--174},
publisher = {mathdoc},
volume = {11},
number = {2},
year = {2008},
language = {en},
url = {http://geodesic.mathdoc.fr/item/FCAA_2008_11_2_a2/}
}
TY - JOUR AU - Xuan Thao, Nguyen AU - Kim Tuan, Vu AU - Thanh Hong, Nguyen TI - Generalized Convolution Transforms and Toeplitz Plus Hankel Integral Equations JO - Fractional calculus and applied analysis PY - 2008 SP - 153 EP - 174 VL - 11 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/FCAA_2008_11_2_a2/ LA - en ID - FCAA_2008_11_2_a2 ER -
%0 Journal Article %A Xuan Thao, Nguyen %A Kim Tuan, Vu %A Thanh Hong, Nguyen %T Generalized Convolution Transforms and Toeplitz Plus Hankel Integral Equations %J Fractional calculus and applied analysis %D 2008 %P 153-174 %V 11 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/FCAA_2008_11_2_a2/ %G en %F FCAA_2008_11_2_a2
Xuan Thao, Nguyen; Kim Tuan, Vu; Thanh Hong, Nguyen. Generalized Convolution Transforms and Toeplitz Plus Hankel Integral Equations. Fractional calculus and applied analysis, Tome 11 (2008) no. 2, pp. 153-174. http://geodesic.mathdoc.fr/item/FCAA_2008_11_2_a2/