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Bicomplex Paley-Wiener Theorem


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.


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Article Information

TitleBicomplex Paley-Wiener Theorem
SourceMethods Funct. Anal. Topology, Vol. 30 (2024), no. 1-2, 37-49
DOI10.31392/MFAT-npu26_1-2.2024.04
CopyrightThe 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.


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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},
}


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