Research Catalog
Harmonic function theory
- Title
- Harmonic function theory / Sheldon Axler, Paul Bourdon, Wade Ramey.
- Author
- Axler, Sheldon Jay.
- Publication
- New York : Springer-Verlag, ©1992.
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1 Item
| Status | Format | Access | Call Number | Item Location |
|---|---|---|---|---|
| Text | Use in library | QA405 .A95 1992 | Off-site |
Details
- Additional Authors
- Description
- xii, 231 pages : illustrations; 25 cm.
- Summary
- Harmonic functions play a crucial role in many areas of mathematics, physics, and engineering. For this text, a background in real and functional analysis is required. Topics include: basic properties, bounded functions, the Kelvin transform, spherical harmonics, harmonic Hardy spaces, and harmonic Bergman spaces. A free software package available.
- Series Statement
- Graduate texts in mathematics ; 137
- Uniform Title
- Graduate texts in mathematics ; 137.
- Subject
- Bibliography (note)
- Includes bibliographical references (p. [223]-224) and indexes.
- Contents
- 1. Basic Properties of Harmonic Functions -- 2. Bounded Harmonic Functions -- 3. Positive Harmonic Functions -- 4. The Kelvin Transform -- 5. Spherical Harmonics -- 6. Harmonic Hardy Spaces -- 7. Harmonic Functions of Half-Spaces -- 8. Harmonic Bergman Spaces -- 9. The Decompositions Theorem -- 10. Annular Regions -- 11. The Dirichlet Problem and Boundary Behavior -- Appendix A. Volume, Surface Area, and Integration on Spheres -- Appendix B. Mathematica and Harmonic Function Theory.
- ISBN
- 0387978755
- 9780387978758
- 3540978755
- 9783540978756
- LCCN
- 92016950
- OCLC
- ocm25873808
- 25873808
- SCSB-1956786
- Owning Institutions
- Princeton University Library