Functional Analysis and Related Fields

1. Front Matter

   Pages ii-ix

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2. Nonlinear Eigenvalue Problems and Group Invariance

   • Felix E. Browder

   Pages 1-58

3. Minimal Submanifolds of a Sphere with Second Fundamental Form of Constant Length

   • S. S. Chern, M. do Carmo, S. Kobayashi

   Pages 59-75

4. Eisenstein Series over Finite Fields

   • Harish-Chandra

   Pages 76-88

5. L _p Transforms on Compact Groups

   • Edwin Hewitt

   Pages 89-98

6. Theory of Simple Scattering and Eigenfunction Expansions

   • Tosio Kato, S. T. Kuroda

   Pages 99-131

7. Induced Representations of Locally Compact Groups and Applications

   • George W. Mackey

   Pages 132-166

8. Convolution Operators in Spaces of Nuclearly Entire Functions on a Banach Space

   • Leopoldo Nachbin

   Pages 167-171

9. Operants: A Functional Calculus for Non-Commuting Operators

   • Edward Nelson

   Pages 172-187

10. Local Non-linear Functions of Quantum Fields

    • Irving Segal

    Pages 188-210

11. On the Analogue of the Modular Group in Characteristic p

    • André Weil

    Pages 211-223

12. A Theorem on the Formal Multiplication of Trigonometric Series

    • Antoni Zygmund

    Pages 224-227

13. The Influence of M. H. Stone on the Origins of Category Theory

    • Saunders MacLane

    Pages 228-241

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.

• Fields
• Funktionalanalysis
• calculus
• function
• functional analysis

• Department of Mathematics, The University of Chicago, Chicago, USA

  Felix E. Browder

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