Hermitian Analysis From Fourier Series to Cauchy-Riemann Geometry /

• Main Author: D'Angelo, John P. (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2019.
• Edition: 2nd ed. 2019.
• Series: Cornerstones,
• Subjects: Functions of complex variables.; Differential geometry.; Fourier analysis.; Functions of a Complex Variable.; Differential Geometry.; Fourier Analysis.

This textbook provides a coherent, integrated look at various topics from undergraduate analysis. It begins with Fourier series, continues with Hilbert spaces, discusses the Fourier transform on the real line, and then turns to the heart of the book, geometric considerations. This chapter includes c...

Table of Contents:

• Introduction to Fourier series
• Hilbert spaces
• Fourier transform on R
• Geometric considerations
• The unit sphere and CR geometry
• Appendix.