Geodesic
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/