THOMAS H. MAC GREGOR

Thomas H. MacGregor is Professor of Mathematics at the University at Albany. He received his Ph. D. in 1961 from the University of Pennsylvania.

After rising to the rank of Professor at Lafayette College between 1959 and 1967, he came to Albany in 1967 as Professor. He served as Department Chair from 1975 to 1978.

He was Principal Investigator of National Science Foundation grants in 1962-64, 1965-67 and 1968-71, and was awarded State University of New York Faculty Fellowships in 1971, 1972 and 1974.

His research interests include geometric function theory and Banach spaces of analytic functions.

RECENT DOCTORAL STUDENTS

• Donghan Luo, Ph.D., August, 1995; thesis title: "Multipliers of fractional Cauchy transforms."
  Dr. Luo has a position as an applied statistician at Meta Works, Inc. in Boston, after previously holding a position with Blue Cross/Blue Shield. He is coauthor with Prof. MacGregor of a paper, "Multipliers of fractional Cauchy transforms and smoothness conditions", to appear in the Canadian Journal of Mathematics.
• Michael Sterner, Ph.D., August, 1997; thesis title: "Fractional derivatives and convolutions of univalent functions."
  Dr. Sterner has an academic position at the University of Montevallo in Montevallo, AL, where he is already becoming known as a guitarist. He is a coauthor with Prof. MacGregor of a paper, "Boundedness of an analytic function and the range of its fractional derivative", to appear in Annales Universitatis Mariae Curie-Sklodowska.

Recent Publications of T. H. MacGregor

• Recapturing functions in $H^p$ spaces (with J.A. Cima and M.I. Stessin), Indiana Univ. Math. J., 43 (1994), 205-220.
• Weighted reproducing kernels in Bergman spaces (with M.I. Stessin), Michigan Math. J., 41 (1994), 523-533.
• Radial limits and growths of fractional Cauchy transforms, Topics in Complex Analysis, Banach Center Publication 31 (1995), Warsaw, 249-254.
• Fractional Cauchy transforms, inner functions and multipliers (with D.J. Hallenbeck and K. Samotij), Proc. London Math. Soc., 72 (1996), 157-187.
• Conditions on the logarithmic derivative of a function implying boundedness (with F. Ronning), Trans. Amer. Math. Soc., 347 (1995), 2245-2254.
• Coefficient multipliers between Bergman and Hardy spaces (with K. Zhu), Mathematika, 42 (1995), 413-426.

Professor MacGregor is coauthor with David J. Hallenbeck of

Linear Problems and Convexity Techniques in Geometric Function Theory, Pitman Advanced Publishing Program, Boston, Pitman, 1984.

Professor MacGregor gave an address to the Conference on Continued Fractions and Geometric Function Theory, Trondheim, Norway, June 24-28, 1997, entitled: "Fractional Cauchy transforms".