Abstract
In this paper, we study the bicomplex version of the
Paley-Wiener theorem and the Cauchy integral formula in
the upper half-plane.
Вивчається теорема Пейлі-Вінера та інтегральна
формула Коші в верхній півплощині у випадку бікомплексних чисел.
Key words: Bicomplex holomorphic functions, bicomplex Fourier transform, Paley-Wiener theorem, bicomplex Cauchy integral formula.
Full Text
Article Information
Title | Bicomplex Paley-Wiener Theorem |
Source | Methods Funct. Anal. Topology, Vol. 30 (2024), no. 1-2, 37-49 |
DOI | 10.31392/MFAT-npu26_1-2.2024.04 |
Copyright | The Author(s) 2024 (CC BY-SA) |
Authors Information
Sanjay Kumar
Department of Mathematics, Central University of Jammu, Rahya-Suchani (Bagla)-181 143, Jammu (J&K), INDIA.
Stanzin Dolkar
Department of Mathematics, Central University of Jammu, Rahya-Suchani (Bagla)-181 143, Jammu (J&K), INDIA.
Citation Example
Sanjay Kumar and Stanzin Dolkar, Bicomplex Paley-Wiener Theorem, Methods Funct. Anal. Topology 30
(2024), no. 1, 37-49.
BibTex
@article {MFAT2005,
AUTHOR = {Sanjay Kumar and Stanzin Dolkar},
TITLE = {Bicomplex Paley-Wiener Theorem},
JOURNAL = {Methods Funct. Anal. Topology},
FJOURNAL = {Methods of Functional Analysis and Topology},
VOLUME = {30},
YEAR = {2024},
NUMBER = {1},
PAGES = {37-49},
ISSN = {1029-3531},
DOI = {10.31392/MFAT-npu26_1-2.2024.04},
URL = {http://mfat.imath.kiev.ua/article/?id=2005},
}