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Function Spaces and Potential Theory (Grundlehren der mathematischen Wissenschaften) [Hardcover]

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Item description for Function Spaces and Potential Theory (Grundlehren der mathematischen Wissenschaften) by David R. Adams...

The subject of this book is the interplay between function space theory and potential theory. A crucial step in classical potential theory is the identification of the potential energy of a charge with the square of a Hilbert space norm. This leads to the Dirichlet space of locally integrable functions whose gradients are square integrable. More recently, a generalized potential theory has been developed, which has an analogous relationship to the standard Banach function spaces, Sobolev spaces, Besov spaces etc., that appear naturally in the study of partial differential equations. A surprisingly large part of classical potential theory has been extended to this nonlinear setting. The extensions are sometimes surprising, usually they are nontrivial and have required new methods.



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Item Specifications...


Pages   366
Est. Packaging Dimensions:   Length: 9.4" Width: 6.3" Height: 1"
Weight:   1.55 lbs.
Binding  Hardcover
Release Date   Jul 1, 1999
Publisher   Springer
ISBN  3540570608  
ISBN13  9783540570608  


Availability  91 units.
Availability accurate as of Jan 23, 2017 08:43.
Usually ships within one to two business days from La Vergne, TN.
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Product Categories

1Books > Subjects > Professional & Technical > Professional Science > Mathematics > Mathematical Analysis
2Books > Subjects > Professional & Technical > Professional Science > Mathematics > Pure Mathematics > Functional Analysis
3Books > Subjects > Professional & Technical > Professional Science > Mathematics > Transformations
4Books > Subjects > Science > General
5Books > Subjects > Science > Mathematics > General
6Books > Subjects > Science > Mathematics > Mathematical Analysis
7Books > Subjects > Science > Mathematics > Pure Mathematics > Calculus
8Books > Subjects > Science > Mathematics > Pure Mathematics > Functional Analysis
9Books > Subjects > Science > Mathematics > Transformations



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