[Download] "Eigenvalues, Embeddings and Generalised Trigonometric Functions" by Jan Lang & David E Edmunds * eBook PDF Kindle ePub Free
eBook details
- Title: Eigenvalues, Embeddings and Generalised Trigonometric Functions
- Author : Jan Lang & David E Edmunds
- Release Date : January 17, 2011
- Genre: Mathematics,Books,Science & Nature,Professional & Technical,Education,
- Pages : * pages
- Size : 9277 KB
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.