The Fourier transform associated to the \(k\)-hyperbolic Dirac operator

DOI10.1007/s00006-023-01274-yOpenAlexW4368368571MaRDI QIDQ6039679

Lian Pan, Wenxin Li

Publication date: 23 May 2023

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00006-023-01274-y

zbMATH Keywords

Fourier transformDirac operatoruncertainty principleDunkl operator\(k\)-hypermonogenic function

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Fractional derivatives and integrals (26A33) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Infinite-dimensional Lie (super)algebras (17B65) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Clifford algebras, spinors (15A66) Other transforms and operators of Fourier type (43A32) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50) Functional-differential and differential-difference operators (47E07)

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