Year of Award: 1981

Award: Chauvenet Prize, and also the Lester Ford Award in 1979

Publication Information: The American Mathematical Monthly, vol. 85 (1978), pp. 525-548

Summary: A discussion of the main themes that lead to the current frontier in noncommutative harmonic analysis which has applications to group theory, analysis, geometry, number theory, probability, ergodic theory and modern physics.

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About the Author: (from The American Mathematical Monthly, vol. 85 (1978)) Kenneth I. Gross did his graduate work at Brandeis University and Washington University under the direction of R.A. Kunze. He has taught at Tulane, Dartmouth, the University of California at Irvine, the University of North Carolina (since 1973), and the University of Utah (on leave from North Carolina). His principal fields of interest are harmonic analysis, representations of groups, and undergraduate education.