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.
- ISBN10 1636391109
- ISBN13 9781636391106
- Publish Date 6 April 2021
- Publish Status Unknown
- Publish Country US
- Imprint Morgan & Claypool Publishers
- Format Paperback (US Trade)
- Pages 156
- Language English