Klaus D. Schmidt (born 25 September 1943) is an Austrian mathematician and retired professor at the Faculty of Mathematics,
University of Vienna.
After studying mathematics at the
University of Vienna he received his doctorate in 1968 under
Edmund Hlawka.
He held visiting professorships in
Technical University of Vienna,
University of Manchester in 1969,
Bedford College (1969–1974) and the
University of Warwick from 1974 to 1994 after which he came back to the
University of Vienna. He retired in 2009. In 1975/76
K. R. Parthasarathy invited Klaus Schmidt to spend 7 months at the new
Delhi Centre of
Indian Statistical Institute (Parthasarathy was then working at the
Indian Institute of Technology, Delhi).
In 1994 he was awarded the
Ferran Sunyer i Balaguer Prize for the monograph ''Dynamical systems of algebraic origin''. He is member of the
Austrian Academy of Sciences.
He has researched among other things,
ergodic theory
Ergodic theory (Greek: ' "work", ' "way") is a branch of mathematics that studies statistical properties of deterministic dynamical systems; it is the study of ergodicity. In this context, statistical properties means properties which are expres ...
and its connections with
arithmetic
Arithmetic () is an elementary part of mathematics that consists of the study of the properties of the traditional operations on numbers— addition, subtraction, multiplication, division, exponentiation, and extraction of roots. In the 19th ...
,
commutative algebra,
harmonic analysis
Harmonic analysis is a branch of mathematics concerned with the representation of Function (mathematics), functions or signals as the Superposition principle, superposition of basic waves, and the study of and generalization of the notions of Fo ...
,
operator algebras and
probability theory.
Publications
*Positive definite kernels, continuous tensor products, and central limit theorems in probability theory (with
KR Parthasarathy). Lecture Notes in Mathematics, Vol 272, Springer Verlag 1972.
*Cocycles of ergodic transformation groups. Lecture Notes in Mathematics, Vol 1, MacMillan (India) 1977.
*Amarts and set function processes (with Allen Gut). Lecture Notes in Mathematics, Vol 1042, Springer-Verlag 1983. .
Algebraic Ideas in Ergodic Theory CBMS Lecture Notes, Vol 76, Amer. Math Soc. 1990.
*Dynamical systems of algebraic origin. Progress in Mathematics, Vol 128, Birkhauser Verlag 1995.
References
External links
Klaus Schmidt's Home Page
{{DEFAULTSORT:Schmidt, Klaus
1943 births
Living people
Austrian mathematicians
Academic staff of the University of Vienna
University of Vienna alumni
Members of the Austrian Academy of Sciences