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Aspects of Differential Geometry V - Esteban Calviño-Louzao, Eduardo García-Río, Peter B Gilkey, Jeonghyeong Park, Ramón Vázquez-Lorenzo

Aspects of Differential Geometry V

Buch | Softcover
156 Seiten
2021
Morgan & Claypool Publishers (Verlag)
978-1-63639-110-6 (ISBN)
CHF 134,40 inkl. MwSt
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Explores in detail analytic results in elliptic operator theory. The book provides a treatment of the techniques in Hilbert space, the Fourier transform, and elliptic operator theory necessary to establish the spectral decomposition theorem of a self-adjoint operator of Laplace type and to prove the Hodge Decomposition Theorem.
Book V completes the discussion of the first four books by treating in some detail the analytic results in elliptic operator theory used previously. Chapters 16 and 17 provide a treatment of the techniques in Hilbert space, the Fourier transform, and elliptic operator theory necessary to establish the spectral decomposition theorem of a self-adjoint operator of Laplace type and to prove the Hodge Decomposition Theorem that was stated without proof in Book II. In Chapter 18, we treat the de Rham complex and the Dolbeault complex, and discuss spinors. In Chapter 19, we discuss complex geometry and establish the Kodaira Embedding Theorem.

Preface
Acknowledgments
Functional Analysis
Elliptic Operator Theory
Potential Theory
Complex Geometry
Bibliography
Authors' Biographies
Index

Erscheinungsdatum
Reihe/Serie Synthesis Lectures on Mathematics and Statistics
Verlagsort San Rafael
Sprache englisch
Maße 191 x 235 mm
Gewicht 333 g
Themenwelt Mathematik / Informatik Mathematik Analysis
Mathematik / Informatik Mathematik Angewandte Mathematik
Mathematik / Informatik Mathematik Geometrie / Topologie
ISBN-10 1-63639-110-9 / 1636391109
ISBN-13 978-1-63639-110-6 / 9781636391106
Zustand Neuware
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