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Eigenvalues, Embeddings and Generalised Trigonometric Functions / by Jan Lang, David Edmunds.
Connect to full text Available online
View onlineMath/Physics/Astronomy Library QA3 .L28 v.1-999 470,523,830,849:2nd ed. v.1000-1722,1762,1781,1799-2099,2100-2192-2218 2219-2223-2258,2260-2271,2273-2274-2277,2279-2281,2283-2289,2291,2293-2294,2296,2298-2299,2300-2311,2313-2379,2381-2384 2385-2386,2388-2389
Mixed Availability
LIBRA QA3 .L28 Scattered vols.
Mixed Availability
- Format:
- Book
- Author/Creator:
- Lang, Jan, author.
- Edmunds, David, author.
- Series:
- Lecture Notes in Mathematics, 0075-8434 ; 2016.
- Lecture Notes in Mathematics, 0075-8434 ; 2016
- Language:
- English
- Subjects (All):
- Global analysis (Mathematics).
- Mathematics.
- Functional analysis.
- Functions, Special.
- Differential equations.
- Analysis.
- Approximations and Expansions.
- Functional Analysis.
- Special Functions.
- Ordinary Differential Equations.
- Mathematics Education.
- Local Subjects:
- Analysis.
- Approximations and Expansions.
- Functional Analysis.
- Special Functions.
- Ordinary Differential Equations.
- Mathematics Education.
- Physical Description:
- 1 online resource (XI, 220 pages 10 illustrations).
- Contained In:
- Springer eBooks
- Place of Publication:
- Berlin, Heidelberg : Springer Berlin Heidelberg, 2011.
- System Details:
- text file PDF
- Summary:
- 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.
- 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.
- Other Format:
- Printed edition:
- ISBN:
- 9783642184291
- Access Restriction:
- Restricted for use by site license.
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