P. Jain, S. Jain, V. D. Stepanov, “LCT based integral transforms and Hausdorff operators”, Eurasian Math. J., 2020, том 11, номер 1,страницы 57

Эта публикация цитируется в 9 статьях

LCT based integral transforms and Hausdorff operators

P. Jain^a, S. Jain^b, V. D. Stepanov^c

^a Department of Mathematics, South Asian University, Akbar Bhawan, Chanakya Puri, New Delhi – 110 021, India
^b Department of Mathematics, Vivekananda College (University of Delhi), Vivek Vihar, Delhi - 110095, India
^c Computing Center of the Far Eastern Branch of the Russian Academy of Sciences, Kim Yu Chen str. 65, 680000 Khabarovsk, Russia

Аннотация: 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.

Ключевые слова и фразы: LCT, linear canonical cosine transform, linear canonical sine transform, Hausdorff operators.

MSC: 44A35, 26D20

Поступила в редакцию: 14.04.2019

Язык публикации: английский

DOI: 10.32523/2077-9879-2020-11-1-57-71