Known and new results on absolute convergence of Fourier integrals

Autor:	Liflyand, E., Trigub, Roald M., Centre de Recerca Matemàtica
Rok vydání:	2009
Předmět:	Fourier Operadors integrals de Fourier Anàlisi de
Zdroj:	Dipòsit Digital de Documents de la UAB Universitat Autònoma de Barcelona Recercat. Dipósit de la Recerca de Catalunya instname Recercat: Dipósit de la Recerca de Catalunya Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Popis:	New sufficient conditions for representation of a function via the absolutely convergent Fourier integral are obtained in the paper. In the main result, Theorem 1.1, this is controlled by the behavior near infinity of both the function and its derivative. This result is extended to any dimension d >= 2.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::c7aa2d246dbdf867b39c019bfcc6927e https://ddd.uab.cat/record/47990 Zobrazit plný text záznamu