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Eigenvalues, Embeddings and Generalised Trigonometric Functions

Eigenvalues, Embeddings and Generalised Trigonometric Functions Mathematics

Eigenvalues, Embeddings and Generalised Trigonometric Functions

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Description
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.
Product details
Binding:
Paperback
Edition:
1
Number of Pages:
220
Release Date:
2011-03-23
Publication Date:
2011-03-23
Publisher:
Springer Berlin
Languages:
Original: English
ISBN10:
3642182674
ISBN13:
9783642182679
GPSR Manufacturer Reference:
Weight:
340 g
Height:
155 cm
Width:
235 cm
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