**Buma
Fridman**

My interests in the past few years have been in the theory of holomorphic functions of several complex variables and analytical geometry.

Specifically: boundary behavior of analytic maps, holomorphic automorphism groups of hyperbolic manifolds, fixed point theorems.

Following is a list of some of my publications.

"On a Class of Analytic Polyhedra''
- Dokl Akad Nauk USSR Vol. 242, No. 5, (1978). Translated in Soviet Math. Dokl
Vol. 19, No. 5, pp. 1258-1261, (1979).

"Biholomorphic Invariants of
a Hyperbolic Manifold and some Applications'', Transactions of the American
Math Society, Vol. 276, No. 2, pp. 685-698, (1983).

"One Example of the Boundary Behavior of Biholomorphic Transformations", Proceedings of the
American Math. Society, Vol. 89, No. 2, pp. 226-228, (1983).

"An
Approximate Riemann Mapping Theorem", Mathematische
Annalen, 275, pp. 49-55 (1986).

"A Universal Exhausting Domain'', Proceedings of the
American Math. Society, Vol. 98, No. 2, pp. 267-270, (1986).

"Upper
semicontinuity of automorphism
groups" (with E.A. Poletsky), Mathematische Annalen, 299, pp.
615-628 (1994).

"A Uniqueness result for a generalized Radon
transform", SIAM Journal of Mathematical Analysis, vol. 26, 6, pp. 1467-1472
(1995).

"A compact set with noncompact
disc-hull " (with Lop-Hing Ho; Daowei Ma) Proc. Amer. Math. Soc.129, No5,
1473-1475 (2001).

"On fixed points and determining sets for holomorphic automorphisms" (with K. T. Kim, S. G. Krantz, D. Ma), Michigan Math J, 50,

"Perturbations of Domains and Automorphism
Groups" (with D. Ma), Journal of the Korean Mathematical Society, vol. 40
(3), 487-502 (2003) .

"Upper semicontinuity of the
dimensions of automorphism groups of domains in **C**^n" (with D. Ma,

"On determining sets for holomorphic automorphisms" (with K. T. Kim, S. G. Krantz, D. Ma), Rocky Mountain Journal of Mathematics, vol. 36, 3 (2006), 947-956.

"Isolated fixed point sets for holomorphic maps", (with D. Ma, J-P Vigue), J. Math. Pures. Appl. 86 (2006), 80-87.

"Properties of Fixed Point Sets and a
Characterization of the Ball in **C**^n", (with D. Ma), Proc.
Amer. Math. Soc. 135 (2007) 229-236.

"Fixed Points and Determining Sets for Holomorphic
Self-Maps of a Hyperbolic Manifold" (with D. Ma, J-P Vigue),
Michigan Math J, 55
(2007), 229-238.

"Osgood-Hartogs-type
Properties of Power Series and Smooth Functions"
(with D. Ma), Pacific J. Math., vol. 251, No.
1 (2011), 67-79.

"Testing holomorphy
on curves"(with D. Ma), Israel J. Math.,
vol. 192 (2012), 535-540.

"Nonlinear convergence sets of divergent power
series" (with D. Ma, T. Neelon), Annales Polonici Mathematici, **106** (2012), 193-198

"Holomorphic functions on subsets of **C**"** **(with D. Ma), J. Math. Soc. Japan, vol.
65 (2013), 1-12.