Functional Analysis and Related Fields : Proceedings of a Conference in Honor of Professor Marshall Stone, Held at the University of Chicago, May 1968

On May 20-24. 1968, a Conference on Functional Analysis and Related Fields was held at the Center for Continuing Education of the University cl Chicago in honor of ProfessoLMARSHALL HARVEY STONE on the occasion of his retirement from active service at the University. The Conference received support from the Air Force Office of Scientific Research under the Grant AFOSR 68-1497. The Organizing committee for this Conference consisted of ALBERTO P. CALDERON, SAUNDERS MACLANE, ROBERT G. POHRER, and FELIX E. BROWDER (Chairman). The present volume contains some of the papers presented at the Conference. nther talks which were presented at the Conference for which papers are noLinduded hereare: K. CHANDRASEKHARAN, "Zeta functions of quadratic fields"; J. L. DooB, "An application of prob ability theory to the Choquet boundary" ; HALMOS, "Irreducible operators"; P. R. KADISON, "Strong continuity of operator functions"; L. NIRENBERG, "Intrinsic norms on complex manifolds"; D. SCOTT, "Some problems and recent results in Boolean algebras"; 1. M. SINGER, "A conjecture relating the Reidemeister torsion and the zeta function of the Laplacian". A banquet in honor of Professor STONE was held during the Con­ ference, with brief talks by S. S. CHERN, A. A. ALBERT, S. MACLANE, E. HEWITT, K. CHANDRASEKHARAN, and F. E. BROWDER (as Toast­ master), as weH as a response by Professor STONE. On May 20-24. 1968, a Conference on Functional Analysis and Related Fields was held at the Center for Continuing Education of the University cl Chicago in honor of ProfessoLMARSHALL HARVEY STONE on the occasion of his retirement from active service at the University. The Conference received support from the Air Force Office of Scientific Research under the Grant AFOSR 68-1497. The Organizing committee for this Conference consisted of ALBERTO P. CALDERON, SAUNDERS MACLANE, ROBERT G. POHRER, and FELIX E. BROWDER (Chairman). The present volume contains some of the papers presented at the Conference. nther talks which were presented at the Conference for which papers are noLinduded hereare: K. CHANDRASEKHARAN, "Zeta functions of quadratic fields"; J.L. DooB, "An application of prob ability theory to the Choquet boundary" ; HALMOS, "Irreducible operators"; P.R. KADISON, "Strong continuity of operator functions"; L. NIRENBERG, "Intrinsic norms on complex manifolds"; D. SCOTT, "Some problems and recent results in Boolean algebras"; 1. M. SINGER, "A conjecture relating the Reidemeister torsion and the zeta function of the Laplacian". A banquet in honor of Professor STONE was held during the ConƯ ference, with brief talks by S.S. CHERN, A.A. ALBERT, S. MACLANE, E. HEWITT, K. CHANDRASEKHARAN, and F.E. BROWDER (as ToastƯ master), as weH as a response by Professor STONE Front Matter....Pages ii-ix Nonlinear Eigenvalue Problems and Group Invariance....Pages 1-58 Minimal Submanifolds of a Sphere with Second Fundamental Form of Constant Length....Pages 59-75 Eisenstein Series over Finite Fields....Pages 76-88 L p Transforms on Compact Groups....Pages 89-98 Theory of Simple Scattering and Eigenfunction Expansions....Pages 99-131 Induced Representations of Locally Compact Groups and Applications....Pages 132-166 Convolution Operators in Spaces of Nuclearly Entire Functions on a Banach Space....Pages 167-171 Operants: A Functional Calculus for Non-Commuting Operators....Pages 172-187 Local Non-linear Functions of Quantum Fields....Pages 188-210 On the Analogue of the Modular Group in Characteristic p ....Pages 211-223 A Theorem on the Formal Multiplication of Trigonometric Series....Pages 224-227 The Influence of M. H. Stone on the Origins of Category Theory....Pages 228-241