Eigenvalues, Embeddings and Generalised Trigonometric Functions

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 wit...

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Bibliographic Details
Call Number:Libro Electrónico
Main Authors: Lang, Jan (Author), Edmunds, David E. (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:Inglés
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2011.
Edition:1st ed. 2011.
Series:Lecture Notes in Mathematics, 2016
Subjects:
Mathematical analysis.
Approximation theory.
Functional analysis.
Special functions.
Differential equations.
Mathematics-Study and teaching .
Analysis.
Approximations and Expansions.
Functional Analysis.
Special Functions.
Differential Equations.
Mathematics Education.
Online Access:Texto Completo
Table of Contents:
  • 1 Basic material
  • 2 Trigonometric generalisations
  • 3 The Laplacian and some natural variants
  • 4 Hardy operators
  • 5 s-Numbers and generalised trigonometric functions
  • 6 Estimates of s-numbers of weighted Hardy operators
  • 7 More refined estimates
  • 8 A non-linear integral system
  • 9 Hardy operators on variable exponent spaces.

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