Format:
1 Online-Ressource(XVI, 140 p.)
Edition:
1st ed. 2021.
ISBN:
9783031024320
Series Statement:
Synthesis Lectures on Mathematics & Statistics
Content:
Preface -- Acknowledgments -- Functional Analysis -- Elliptic Operator Theory -- Potential Theory -- Complex Geometry -- Bibliography -- Authors' Biographies -- Index.
Content:
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.
Additional Edition:
ISBN 9783031002786
Additional Edition:
ISBN 9783031013041
Additional Edition:
ISBN 9783031035609
Additional Edition:
Erscheint auch als Druck-Ausgabe ISBN 9783031002786
Additional Edition:
Erscheint auch als Druck-Ausgabe ISBN 9783031013041
Additional Edition:
Erscheint auch als Druck-Ausgabe ISBN 9783031035609
Language:
English
DOI:
10.1007/978-3-031-02432-0
Bookmarklink
