Diophantine Approximation and Dirichlet Series

1. A Review of Commutative Harmonic Analysis.- 2. Ergodic Theory and Kronecker's Theorems.- 3. Diophantine Approximation.- 4. General Properties of Dirichlet Series.- 5. Probabilistic Methods for Dirichlet Series.- 6. Hardy Spaces of Dirichlet Series.- 7. Voronin Type theorems.- 8. Composition Operators on the Space H2 of Dirichlet Series.

HERVÉ QUEFFELEC is Emeritus Professor at the Department of Mathematics, University of Lille, France. Earlier, he served as Full Professor at Lille 1 University, France (1992-2011) and Assistant Professor at Paris-Sud University, Orsay, France (1968-1992). He completed his Ph.D. in Mathematics in 1971 and received the habilitation à diriger des recherches (HDR) in 1985 from Paris-Sud University, France. His research interests include analytic theory of Dirichlet series, Banach spaces of analytic functions, and Carleson measures. Five students have earned their Ph.D. degrees under the Prof. Queffelec's supervision during his academic career. He has delivered talks based on his research in renowned universities and institutes around the world, including Harish-Chandra Research Institute, India; Tsinghua University, China; University of Crete, Greece; Euler International Mathematical Institute, Russia; and Centre de Recerca Mathemàtica, Spain. He has published his research papers in several journals of repute.

MARTINE QUEFFÉLEC is Emeritus Assistant Professor at the Department of Mathematics, University of Lille, France. Earlier, she was an Assistant Professor at Lille 1 University, France, (1993-2011), and Assistant Professor at Université Sorbonne Paris Nord, France (1970-1993). She received the habilitation à diriger des recherches (HDR) in 1984 from Université Sorbonne Paris Nord, France. Her areas of research include dynamical systems and ergodic theory, Diophantine approximation and number theory, and harmonic analysis of measures. She has been an active participant of international conferences and has delivered talks in institutes around the world, including Instituto Nacional de Matemática Pura e Aplicada, Brazil; Tsinghua University, China; Research Institute for Mathematical Sciences, Kyoto University, Japan; and Harish-Chandra Research Institute, India. She has three books to her name, including Substitution Dynamical Systems: Spectral Analysis

"This high quality textbook and research-level monograph is a reissue of the authors' book of the same title. ... the authors of this book present deeper theorems in Dirichlet series and their Hardy spaces, for which the proofs and references are given. ... The bibliography of the 2nd extended edition has 202 records. The book closes with a subject index." (Nikolaj M. Glazunov, zbMATH 1478.11002, 2022)