Convergence of generalized eigenfunction expansions

Autor:	Mayumi Sakata
Jazyk:	angličtina
Rok vydání:	2007
Předmět:	Generalized eigenfunction expansion Generalized eigenprojection Fourier transform differential operators Hecke operators modular group. Mathematics QA1-939
Zdroj:	Electronic Journal of Differential Equations, Vol 2007, Iss 71, Pp 1-19 (2007)
Druh dokumentu:	article
ISSN:	1072-6691
Popis:	We present a simplified theory of generalized eigenfunction expansions for a commuting family of bounded operators and with finitely many unbounded operators. We also study the convergence of these expansions, giving an abstract type of uniform convergence result, and illustrate the theory by giving two examples: The Fourier transform on Hecke operators, and the Laplacian operators in hyperbolic spaces.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/31b5fb3ef7ae4dbbbfb8f807f7d1823d Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF