(Anti)symmetric multivariate exponential functions and corresponding Fourier transforms

DOI10.1088/1751-8113/40/34/006zbMath1139.42001arXiv0705.3572OpenAlexW2007541162MaRDI QIDQ3592141

A. U. Klimyk, Jirí Patera

Publication date: 12 September 2007

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0705.3572

zbMATH Keywords

Fourier transformsFourier seriesFinite Fourier transformsEigenfunctions of the integral Fourier transformsEigenfunctions of the Laplace operator

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Fourier series and coefficients in several variables (42B05) Other transforms and operators of Fourier type (43A32)

Related Items (10)

Discrete Fourier transform associated with generalized Schur polynomials ⋮ Convergence of online pairwise regression learning with quadratic loss ⋮ Dominant weight multiplicities in hybrid characters of \(B_n\), \(C_n\), \(F_4\), \(G_2\) ⋮ (Anti)symmetric multivariate trigonometric functions and corresponding Fourier transforms ⋮ Four families of Weyl group orbit functions of B3 and C3 ⋮ Discrete Fourier analysis on fundamental domain and simplex of \(A_{d}\) lattice in \(d\)-variables ⋮ Orthogonal polynomials of compact simple Lie groups ⋮ Two-dimensional symmetric and antisymmetric generalizations of exponential and cosine functions ⋮ On eigenfunctions of continuous and discrete (anti)symmetric multivariate Fourier transforms ⋮ Two-dimensional symmetric and antisymmetric generalizations of sine functions

This page was built for publication: (Anti)symmetric multivariate exponential functions and corresponding Fourier transforms