Klaus Schmidt (mathematician)

Klaus D. Schmidt (born 25 September 1943) is an Austrian mathematician and retired professor at the Faculty of Mathematics, University of Vienna.

Klaus Schmidt
Klaus Schmidt
Born25 September 1943 (1943-09-25) (age 76)
Vienna
NationalityAustrian
Alma materUniversity of Vienna
AwardsFerran Sunyer i Balaguer Prize
Scientific career
FieldsMathematics
InstitutionsBedford College
University of Warwick
University of Vienna
Doctoral advisorEdmund Hlawka
Doctoral studentsGiles Atkinson
Roger Butler
Zaqueu Coelho
Manfred Einsiedler
Ulrich Haboeck
Andrew Harding
Jane M. Hawkins
David Pask
Geoffrey Riley
Thomas Ward

After studying mathematics at the University of Vienna he received his doctorate in 1968 under Edmund Hlawka.[1] 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. He is member of the Austrian Academy of Sciences.

He has researched among other things, ergodic theory and its connections with arithmetic, commutative algebra, harmonic analysis, 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.[2]
  • 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. ISBN 3-540-12867-0.[3]
  • Algebraic Ideas in Ergodic Theory. CBMS Lecture Notes, Vol 76, Amer. Math Soc. 1990.[4]
  • Dynamical systems of algebraic origin. Progress in Mathematics, Vol 128, Birkhauser Verlag 1995. 2012 reprint.[5]
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References
  1. Schmidt, Klaus. "Dedicated to K.R. Parthasarathy on the occasion of his 60th birthday" (PDF). University of Vienna.
  2. Parthasarathy, K. R.; Schmidt, K. (1972). Positive Definite Kernels, Continuous Tensor Products, and Central Limit Theorems of Probability Theory. Lecture Notes in Mathematics. 272. Berlin, Heidelberg: Springer Berlin Heidelberg. doi:10.1007/bfb0058340. ISBN 978-3-540-05908-0.
  3. Sucheston, Louis (1985). "Review of Amarts and set function processes by Allen Gut and Klaus D. Schmidt". Bull. Amer. Math. Soc. (N.S.). 12: 306–312. doi:10.1090/S0273-0979-1985-15387-X.
  4. Feldman, J. (1992). "Review of Algebraic ideas in ergodic theory by Klaus Schmidt". Bull. Amer. Math. Soc. (N.S.). 27: 189–191. doi:10.1090/S0273-0979-1992-00295-1.
  5. Schmidt, Klaus (1995). Dynamical Systems of Algebraic Origin. Progress in Mathematics. 128. Basel: Birkhäuser Basel. doi:10.1007/978-3-0348-9236-0. ISBN 978-3-0348-9957-4.
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