LCT based integral transforms and Hausdorff operators
Eurasian mathematical journal, Tome 11 (2020) no. 1, pp. 57-71

Voir la notice de l'article provenant de la source Math-Net.Ru

In this paper, it is shown that certain Hausdorff operator and its adjoint are connected by linear canonical sine as well as linear canonical cosine transforms. The results have been proved in one as well as in two dimensions.
@article{EMJ_2020_11_1_a4,
     author = {P. Jain and S. Jain and V. D. Stepanov},
     title = {LCT based integral transforms and {Hausdorff} operators},
     journal = {Eurasian mathematical journal},
     pages = {57--71},
     publisher = {mathdoc},
     volume = {11},
     number = {1},
     year = {2020},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EMJ_2020_11_1_a4/}
}
TY  - JOUR
AU  - P. Jain
AU  - S. Jain
AU  - V. D. Stepanov
TI  - LCT based integral transforms and Hausdorff operators
JO  - Eurasian mathematical journal
PY  - 2020
SP  - 57
EP  - 71
VL  - 11
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/EMJ_2020_11_1_a4/
LA  - en
ID  - EMJ_2020_11_1_a4
ER  - 
%0 Journal Article
%A P. Jain
%A S. Jain
%A V. D. Stepanov
%T LCT based integral transforms and Hausdorff operators
%J Eurasian mathematical journal
%D 2020
%P 57-71
%V 11
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/EMJ_2020_11_1_a4/
%G en
%F EMJ_2020_11_1_a4
P. Jain; S. Jain; V. D. Stepanov. LCT based integral transforms and Hausdorff operators. Eurasian mathematical journal, Tome 11 (2020) no. 1, pp. 57-71. http://geodesic.mathdoc.fr/item/EMJ_2020_11_1_a4/