Handbook of Complex Analysis

ISBN-13: 9781138064041 / Angielski / Twarda / 2022 / 534 str.

Steven G. Krantz

Opis

The Handbook of Complex Analysis will be an entree for advanced undergraduates and beginning graduate students in the subject of complex analysis. The subject of complex analysis of increasing importance. Even the function theory of several complex variables has seen applications in cosmology, geophysics, and engineering.

Spis treści

Preface
1.Something about poisson and dirichlet
2.The Cauchy-Leray operator for convex domains
3.Fractional linear maps and some applications. An “Augenblick”
4.Biholomorphic transformations
5.Positivity in the @-Neumann Problem
6.Symmetry and art
7.A glimpse into invariant distances in complex analysis
8.Variations on the (eternal) theme of analytic continuation
9.Complex convexity
10.Reproducing kernels in complex analysis
11.The Green’s function method on the Riemann mapping theorem
12.Polynomial trace identities in quaternion algebras and two-generator Kleinian groups
13.Boundary value problems on klein surfaces
Bibliography
Index     

O autorze

Steven G. Krantz is a professor of mathematics at Washington University in St. Louis. He has previously taught at UCLA, Princeton University, and Pennsylvania State University. He has written more than 130 books and more than 250 scholarly papers and is the founding editor of the Journal of Geometric Analysis. An AMS Fellow, Dr. Krantz has been a recipient of the Chauvenet Prize, Beckenbach Book Award, and Kemper Prize. He received a Ph.D. from Princeton University.