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02802nam a22005175i 4500 |
003 - CONTROL NUMBER IDENTIFIER |
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005 - DATE AND TIME OF LATEST TRANSACTION |
control field |
20140310154226.0 |
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION |
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110317s2011 gw | s |||| 0|eng d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9783642184291 |
|
978-3-642-18429-1 |
050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
Classification number |
QA299.6-433 |
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
Classification number |
515 |
Edition number |
23 |
264 #1 - |
-- |
Berlin, Heidelberg : |
-- |
Springer Berlin Heidelberg, |
-- |
2011. |
912 ## - |
-- |
ZDB-2-SMA |
|
-- |
ZDB-2-LNM |
100 1# - MAIN ENTRY--PERSONAL NAME |
Personal name |
Lang, Jan. |
Relator term |
author. |
245 10 - IMMEDIATE SOURCE OF ACQUISITION NOTE |
Title |
Eigenvalues, Embeddings and Generalised Trigonometric Functions |
Medium |
[electronic resource] / |
Statement of responsibility, etc |
by Jan Lang, David Edmunds. |
300 ## - PHYSICAL DESCRIPTION |
Extent |
XI, 220p. 10 illus. |
Other physical details |
online resource. |
440 1# - SERIES STATEMENT/ADDED ENTRY--TITLE |
Title |
Lecture Notes in Mathematics, |
International Standard Serial Number |
0075-8434 ; |
Volume number/sequential designation |
2016 |
505 0# - FORMATTED CONTENTS NOTE |
Formatted contents note |
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. |
520 ## - SUMMARY, ETC. |
Summary, etc |
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. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Mathematics. |
|
Topical term or geographic name as entry element |
Global analysis (Mathematics). |
|
Topical term or geographic name as entry element |
Functional analysis. |
|
Topical term or geographic name as entry element |
Differential Equations. |
|
Topical term or geographic name as entry element |
Functions, special. |
|
Topical term or geographic name as entry element |
Mathematics. |
|
Topical term or geographic name as entry element |
Analysis. |
|
Topical term or geographic name as entry element |
Approximations and Expansions. |
|
Topical term or geographic name as entry element |
Functional Analysis. |
|
Topical term or geographic name as entry element |
Special Functions. |
|
Topical term or geographic name as entry element |
Ordinary Differential Equations. |
|
Topical term or geographic name as entry element |
Mathematics Education. |
700 1# - ADDED ENTRY--PERSONAL NAME |
Personal name |
Edmunds, David. |
Relator term |
author. |
710 2# - ADDED ENTRY--CORPORATE NAME |
Corporate name or jurisdiction name as entry element |
SpringerLink (Online service) |
773 0# - HOST ITEM ENTRY |
Title |
Springer eBooks |
776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
Display text |
Printed edition: |
International Standard Book Number |
9783642182679 |
856 40 - ELECTRONIC LOCATION AND ACCESS |
Uniform Resource Identifier |
http://dx.doi.org/10.1007/978-3-642-18429-1 |
942 ## - ADDED ENTRY ELEMENTS (KOHA) |
Source of classification or shelving scheme |
|
Item type |
E-Book |