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100301s1992 xxu| s |||| 0|eng d |
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|a 9780387215273
|9 978-0-387-21527-3
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7 |
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|a 10.1007/b97238
|2 doi
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|a QA299.6-433
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|a PBK
|2 bicssc
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|a MAT034000
|2 bisacsh
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|a 515
|2 23
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| 100 |
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|a Axler, Sheldon.
|e author.
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| 245 |
1 |
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|a Harmonic Function Theory
|c by Sheldon Axler, Paul Bourdon, Wade Ramey.
|h [electronic resource] /
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| 264 |
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1 |
|a New York, NY :
|b Springer New York :
|b Imprint: Springer,
|c 1992.
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| 300 |
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|a XII, 233 p.
|b online resource.
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| 336 |
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
|2 rdamedia
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|a online resource
|b cr
|2 rdacarrier
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| 347 |
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|a text file
|b PDF
|2 rda
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| 490 |
1 |
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|a Graduate Texts in Mathematics,
|v 137
|x 0072-5285 ;
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| 505 |
0 |
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|a Basic Properties of Harmonic Functions -- Bounded Harmonic Functions -- Positive Harmonic Functions -- The Kelvin Transform -- Harmonic Polynomials -- Harmonic Hardy Spaces -- Harmonic Functions on Half-Spaces -- Harmonic Bergman Spaces -- The Decomposition Theorem -- Annular Regions -- The Dirichlet Problem and Boundary Behavior.
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| 520 |
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|a Harmonic functions - the solutions of Laplace's equation - play a crucial role in many areas of mathematics, physics, and engineering. Avoiding the disorganization and inconsistent notation of other expositions, the authors approach the field from a more function-theoretic perspective, emphasizing techniques and results that will seem natural to mathematicians comfortable with complex function theory and harmonic analysis; prerequisites for the book are a solid foundation in real and complex analysis together with some basic results from functional analysis. Topics covered include: basic properties of harmonic functions defined on subsets of Rn, including Poisson integrals; properties bounded functions and positive functions, including Liouville's and Cauchy's theorems; the Kelvin transform; Spherical harmonics; hp theory on the unit ball and on half-spaces; harmonic Bergman spaces; the decomposition theorem; Laurent expansions and classification of isolated singularities; and boundary behavior. An appendix describes routines for use with MATHEMATICA to manipulate some of the expressions that arise in the study of harmonic functions.
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| 650 |
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|a Mathematics.
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| 650 |
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|a Mathematical analysis.
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| 650 |
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|a Analysis (Mathematics).
|
| 650 |
1 |
4 |
|a Mathematics.
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| 650 |
2 |
4 |
|a Analysis.
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| 700 |
1 |
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|a Bourdon, Paul.
|e author.
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| 700 |
1 |
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|a Ramey, Wade.
|e author.
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| 710 |
2 |
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|a SpringerLink (Online service)
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| 773 |
0 |
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|t Springer eBooks
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| 776 |
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8 |
|i Printed edition:
|z 9781489911865
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| 830 |
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|a Graduate Texts in Mathematics,
|v 137
|x 0072-5285 ;
|
| 856 |
4 |
0 |
|u https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/b97238
|z View fulltext via EzAccess
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| 912 |
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|a ZDB-2-SMA
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| 912 |
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|a ZDB-2-BAE
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| 950 |
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|a Mathematics and Statistics (Springer-11649)
|