On Some Formulas for Single and Double Integral Transforms Related to the Group SO(2, 2)

Autor:	I. A. Shilin, Junesang Choi
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	Meijer integral transform Hankel integral transform Neumann integral transform Bessel functions Whittaker function Mathematics QA1-939
Zdroj:	Symmetry, Vol 16, Iss 9, p 1102 (2024)
Druh dokumentu:	article
ISSN:	2073-8994
DOI:	10.3390/sym16091102
Popis:	We present a novel proof, using group theory, for a Meijer transform formula. This proof reveals the formula as a specific case of a broader generalized result. The generalization is achieved through a linear operator that intertwines two representations of the connected component of the identity of the group SO(2,2). Using this same approach, we derive a formula for the sum of three double integral transforms, where the kernels are represented by Bessel functions. It is particularly noteworthy that the group SO(2,2) is connected to symmetry in several significant ways, especially in mathematical physics and geometry.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/356f8b86e259421295db68d8d88fc071 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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