Department of Mathematical Sciences
Analysis
The Department of Mathematical Sciences has a very active group of 3 analysts whose research interests lie in the areas of complex analysis, commutative Banach algebras, operator theory and harmonic analysis. There is a weekly analysis seminar for faculty and graduate students. Several different topics are discussed in the seminar throughout the year with each participant typically giving three to five lectures. Usually two or three distinguished analysts visit the department each year to give lectures and for consultation. In past years visitors have included: Z. Slodkowski, P. Muhly, N. Rao, B. Schreiber, L. Hanin, S. Grigoryan, W. Zelazko, K. Jarosz, A. Boettcher, S. Axler, V. Bergelson, J. Cima, J. Diestel, R. Gariepy, K. Izuchi, A. Matheson, K. Petersen, E. Stout and W. Wogen. The analysts hosted an NSF-CBMS Conference on Singular Integral Operators with Michael Christ as principal lecturer during the summer of 1989.
Analysis Faculty:
Prof. Greg St. George - Functional Analysis

Prof. Karel Stroethoff - Complex & Functional Analysis, Operator Theory

Prof. Thomas Tonev
Ph.D., Moscow State University
Complex & Functional Analysis, Commutative Banach Algebras

Books:

  • Shift-Invariant Uniform Algebras on Groups, Monografie Matematyczne, v. 68, New Series, Birkhauser Verlag, Basel-Boston-Berlin, 2006, 284 pp. (with S. Grigoryan).
  • Big-Planes, Boundaries and Function Algebras, Elsevier - North-Holland, 1992, 294 pp.
  • Continued Fractions, Narodna Prosveta, Sofia, 1989, 122 pp. (with E. Lyubenova-Toneva).
Selected publications:
  • Weakly Peripherally-Multiplicative Mappings Between Uniform Algebras, Contemporary Math., Amer. Math. Soc. (2007) (with S. Lambert and A. Luttman - UM Students).
  • Uniform algebra isomorphisms and peripheral spectra, Contemporary Math., Amer. Math. Soc. (2007) (with N. Rao and E. Toneva).
  • Holomorphic flows, cocycles, and coboundaries, Michigan Math. J. (1997) (with Jafari, F., Toneva, E., Yale, K.).
  • Multi-tuple hulls, Pacific J. Math. (1991).
  • Multi-tuple Shilov boundaries of algebra tensor products, Proc. Amer. Math. Soc. (1991).
  • A Bochner type theorem for compact groups, Hokkaido Math. J. (1989).
  • Minimal affine boundaries of convex sets, Tokyo J. Math. (1989).
  • New relations between Sibony-Basener boundaries, Springer Lect. Notes in Math. (1987)
  • The algebra of bounded hyper-analytic functions on the big disc has no corona, Springer Lect. Notes in Math. (1980).

Prof. Jennifer Halfpap - Several Complex Variables & Harmonic Analysis
Emeritus Faculty:
Prof. George Votruba - Functional Analysis, Approximation Theory, Linear Algebra   Prof. Keith Yale - Harmonic & Functional Analysis
Mathematical Sciences | The University of Montana