Based on a series of six lectures given by the author at the University of Michigan, this book is intended as an introduction to the topic of interpolation and sampling in analytic function spaces. The three major topics covered are Nevanlinna-Pick interpolation, Carleson's inte…
The book is about understanding the geometry of interpolating and sampling sequences in classical spaces of analytic functions. The subject can be viewed as arising from three classical topics: Nevanlinna-Pick interpolation, Carleson's interpolation theorem for $H^\infty$, and t…
"The book is about understanding the geometry of interpolating and sampling sequences in classical spaces of analytic functions. The subject can be viewed as arising from three classical topics: Nevanlinna-Pick interpolation, Carleson's interpolation theorem for H[superscript [i…
At almost all academic institutions worldwide, complex variables and analytic functions are utilized in courses on applied mathematics, physics, engineering, and other related subjects. For most students, formulas alone do not provide a sufficient introduction to this widely tau…
Complex numbers -- Functions of a complex variable -- Analytic continuation -- Introduction to complex integration -- Residue calculus -- Gamma, zeta, and related functions -- Elliptic functions -- Conformal mappings -- Transforms -- Wiener-Hopf and Riemann-Hilbert methods -- Sp…
"This book is the first primary introductory textbook on complex variables and analytic functions to use predominantly functional illustrations"--
"This book is the first primary introductory textbook on complex variables and analytic functions to use predominantly functional illustrations"--
