Ondrej Kalenda

Complex Analysis 2

Information in Student Information System

Organization of the course

Content of the course, expected knowledge and connections to other courses

Recommended literature

Lecture notes

Information on classes and course credit

Informace ke zkouškám

Recommended literature

The course is based namely on the following books. Some of them partially overlap.

Chapter I (harmonic functions, boundary behavior of analytic functions):

W. Rudin: Real and complex analysis, McGraw-Hill, New York, 1987, chapters 11, 15, 17.

Y. Katznelson: Introduction to harmonic analysis, John Wiley & Sons, 1968, chapters I a III

Chapter II (analytic continuation)

W. Rudin (see above), chapter 16

I.Černý, Analýza v komplexním oboru, Academia 1983, kapitoly 17,18

Chapter III (functions of several variables)

S.G.Krantz: Function theory of several complex variables, 2nd edition, AMS CHELSEA PUBLISHING, 2001

M.Jarnicki and P.Pflug: First steps in several complex variables: Reinhardt domains, EMS Textbooks in Mathematics, 2008