Eigenvalues, Embeddings and Generalised Trigonometric Functions

• Κύριοι συγγραφείς: Lang, Jan (Συγγραφέας), Edmunds, David (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg, 2011.
• Σειρά: Lecture Notes in Mathematics, 2016
• Θέματα: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Approximation theory.; Functional analysis.; Differential equations.; Special functions.; Mathematics > Study and teaching.; Analysis.; Approximations and Expansions.; Functional Analysis.; Special Functions.; Ordinary Differential Equations.; Mathematics Education.
• Φυσική περιγραφή: XI, 220 p. 10 illus. online resource.
• ISBN: 9783642184291
• ISSN: 0075-8434 ;

The main theme of the book is the study, from the standpoint of s-numbers, of integral operators of Hardy type and related Sobolev embeddings. In the theory of s-numbers the idea is to attach to every bounded linear map between Banach spaces a monotone decreasing sequence of non-negative numbers with a view to the classification of operators according to the way in which these numbers approach a limit: approximation numbers provide an especially important example of such numbers. The asymptotic behavior of the s-numbers of Hardy operators acting between Lebesgue spaces is determined here in a wide variety of cases. The proof methods involve the geometry of Banach spaces and generalized trigonometric functions; there are connections with the theory of the p-Laplacian.