Background
Schwarz, Wolfgang Karl was born on April 21, 1934 in Selb, Federal Republic Germany. Son of Wilhelm and Maria (Knaisch) Schwarz.
(The theme of this book is the characterization of certain...)
The theme of this book is the characterization of certain multiplicative and additive arithmetical functions by combining methods from number theory with some simple ideas from functional and harmonic analysis. The authors achieve this goal by considering convolutions of arithmetical functions, elementary mean-value theorems, and properties of related multiplicative functions. They also prove the mean-value theorems of Wirsing and Halász and study the pointwise convergence of the Ramanujan expansion. Finally, some applications to power series with multiplicative coefficients are included, along with exercises and an extensive bibliography.
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Schwarz, Wolfgang Karl was born on April 21, 1934 in Selb, Federal Republic Germany. Son of Wilhelm and Maria (Knaisch) Schwarz.
Doctor rerum naturalium, University Erlangen, 1959. Habilitation, University Freiburg, 1964.
Assistant mathematics University Erlangen, 1956-1960, University Freiburg, 1960-1964, assistant professor mathematics, 1964-1969. Professor mathematics University Frankfurt, since 1969.
(The theme of this book is the characterization of certain...)
Member German Mathematics Society (executive committee 1982-1988, president 1986-1987), Wissenschaftliche Gesellschaft University Frankfurt (secretary 1980-1982).
Married Doris Schwarze, October 19, 1963. Children: Karin, Peter, Eva.