Eigenvalues, Embeddings and Generalised Trigonometric Functions

Lang, Jan; Edmunds, David

ISBN 10: 3642182674 / ISBN 13: 9783642182679

Published by Springer, 2011

About this Item

Unread book in perfect condition.

Seller Inventory # 12266809

Bibliographic Details

• Title: Eigenvalues, Embeddings and Generalised Trigonometric Functions
• Publisher: Springer
• Publication Date: 2011
• Language: English
• ISBN 10: 3642182674
• ISBN 13: 9783642182679
• Binding: Soft cover
• Condition: As New

About this title

Synopsis

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.