Autor:	Rosenkranz, Markus, Landsmann, Günter
Rok vydání:	2020
Předmět:	Mathematics - Rings and Algebras 43A25 16W99 68W30 13N10
Druh dokumentu:	Working Paper
Popis:	The notion of Fourier transformation is described from an algebraic perspective that lends itself to applications in Symbolic Computation. We build the algebraic structures on the basis of a given Heisenberg group (in the general sense of nilquadratic groups enjoying a splitting property); this includes in particular the whole gamut of Pontryagin duality. The free objects in the corresponding categories are determined, and various examples are given. As a first step towards Symbolic Computation, we study two constructive examples in some detail -- the Gaussians (with and without polynomial factors) and the hyperbolic secant algebra. Comment: 127 pages, 1 figure
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2009.12198 Zobrazit plný text záznamu View this record from Arxiv