This successful monograph – now in its third revised and extended edition – offers a self-contained and unified approach to Bernstein functions and closely related function classes, bringing together old and establishing new connections. For the third edition, the authors added a substantial amount of new material including connections of Bernstein functions to subordination, generalized fractional derivatives and Volterra integral equations.
René L. Schilling
Bernstein Function Completely monotone function Nevanlinna-Pick function Operator monotone function Matrix inequality Laplace transform Subordination Functional calculus Semigroup theory Bernstein-Funktion Monotone Funktion Nevanlinna-Pick-Funktion Monotone Funktion des Operators Matrix-Ungleichung Laplace-Transformation