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: L. Molnar, F. Jafari, M. Abel, D. Mushtari, 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. Members of the group have co-organized special sessions in Analysis at meetings of the American Mathematical Society in San Francisco (2000 and 2009) and in Morelia, Mexico (2001).
Analysis Faculty:
Prof. Jennifer Halfpap - Several Complex Variables & Harmonic Analysis

Prof. Greg St. George - Functional Analysis

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

Prof. Thomas Tonev - 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:
  • Norm-linear and norm-additive operators between uniform algebras, Journal of Math. Anal. and Appl. (2009) (with R. Yates - UM PhD student)
  • Weakly Peripherally-Multiplicative Mappings Between Uniform Algebras, Contemporary Math., Amer. Math. Soc. (2007) (with S. Lambert and A. Luttman - UM PhD Students).
  • Uniform algebra isomorphisms and peripheral spectra, Contemporary Math., Amer. Math. Soc. (2007) (with N. Rao and E. Toneva).
    •
    Emeritus Faculty:
    Prof. George Votruba - Functional Analysis, Approximation Theory, Linear Algebra   Prof. Keith Yale - Harmonic & Functional Analysis
    Mathematical Sciences | The University of Montana