Joseph A. Wolf

Joseph Albert Wolf ( born October 18, 1936 in Chicago) is an American mathematician. He is now professor emeritus at the University of California, Berkeley.

Wolf studied at the University of Chicago with a bachelor 's degree in 1956, her Master's degree in 1957 and his doctorate in SS Chern, 1959 ( On the manifolds covered by a givenName compact, connected Riemannian homogeneous manifold). As a post - graduate student, he was 1960-62 at the Institute for Advanced Study ( and again in 1965/66 ). From 1962 he was assistant professor and since 1966 professor at Berkeley.

Wolf is concerned with applications of group theory in questions of differential geometry, complex manifolds, in the harmonic analysis to applications in the theory of elementary particles and control theory.

In 1994 he received the Humboldt Research Award in 1977 and the Medal of the University of Liège. In 1989 he received an honorary professorship at the National University of Cordoba in Argentina. 1972/73 and 1983/84, he was professor Miller in Berkeley.

He is a Fellow of the American Mathematical Society and member of the Swiss Mathematical Society. 1965 to 1967 he was a Sloan Fellow.

Writings

  • Spaces of constant curvature, McGraw Hill 1967, 6th edition AMS Chelsea Publ 2011
  • Harmonic analysis on commutative spaces, American Mathematical Society, Mathematical Surveys and Monographs, Vol 142, 2007
  • Spherical functions on Euclidean space, J. Funct. Anal., Volume 239, 2006, pp. 127-136
  • With Gregor Fels, Alan Huckleberry Cycle spaces of flag domains: a complex geometric viewpoint, Progress in Mathematics 245, Birkhäuser, 2006
  • Classification and Fourier inversion for parabolic subgroups with square integrable nilradical, Memoirs AMS 225, 1979
  • Unitary representations of maximal parabolic subgroups of the classical groups, Memoirs AMS 180, 1976
  • Representations on Partially holomorphic cohomology spaces, Memoirs AMS 138, 1974
  • Publisher Harmonic analysis and representations of semisimple Lie groups, (NATO Advanced Study Institute, Liege, 1977), Reidel 1980
  • Principal series representations of direct limit groups, Compositio Math 141, 2005, 1504-1530
  • Complex forms of quaternionic symmetric spaces, in Complex, contact and symmetric manifolds, Progress in Mathematics 234, Birkhäuser 2005, pp. 265-277
  • Locally symmetric homogeneous spaces, Comm. Math Helvetici, Volume 37, 1962, pp. 65-101
  • Self adjoint function spaces on symmetric Riemannian manifolds, Transactions AMS, Volume 113, 1964, p 299-315
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