Hermitian Analysis

From Fourier Series to Cauchy-Riemann Geometry
2013
ISBN: 978-1-4614-8525-4
Verlag: Springer

Buch, Englisch, 203 Seiten, Book, Format (B × H): 155 mm x 235 mm, Gewicht: 491 g

Reihe: Cornerstones

Hermitian Analysis: From Fourier Series to Cauchy-Riemann Geometry 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 complex differential forms, geometric inequalities from one and several complex variables, and includes some of the author's results. The concept of orthogonality weaves the material into a coherent whole. This textbook will be a useful resource for upper-undergraduate students who intend to continue with mathematics, graduate students interested in analysis, and researchers interested in some basic aspects of CR Geometry. The inclusion of several hundred exercises makes this book suitable for a capstone undergraduate Honors class.

Zielgruppe

Upper undergraduate

Autoren/Hrsg.

D'Angelo, John P.

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Harmonische Analysis, Fourier-Mathematik

Inhaltsverzeichnis

Preface.- Introduction to Fourier series.- Hilbert spaces.- Fourier transform on R.- Geometric considerations.- Appendix.- References.- Index.