Discrete Fourier transform associated with generalized Schur polynomials

Autor:	van Diejen, J. F., Emsiz, E.
Rok vydání:	2019
Předmět:	Mathematics - Numerical Analysis Mathematical Physics Mathematics - Combinatorics 65T50 05E05 15B10 42A10 42B10 33D52
Zdroj:	Proc. Amer. Math. Soc. 146 (2018), no. 8, 3459-3472
Druh dokumentu:	Working Paper
DOI:	10.1090/proc/14036
Popis:	We prove the Plancherel formula for a four-parameter family of discrete Fourier transforms and their multivariate generalizations stemming from corresponding generalized Schur polynomials. For special choices of the parameters, this recovers the sixteen classic discrete sine- and cosine transforms DST-1,...,DST-8 and DCT-1,...,DCT-8, as well as recently studied (anti-)symmetric multivariate generalizations thereof. Comment: 14 pages, LaTeX
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1902.08506 Zobrazit plný text záznamu View this record from Arxiv