ADVANCED MATHEMATICAL RESEARCH

Abstract

The unifying theme in the Advanced Mathematical Research supported by the grant during the past year is analysis, as it has been in past years. During this year some 16 manuscripts were submitted by the mathematicians supported by the grant and some more are in preparation. The titles of these manuscripts indicate, and the research summaries in the Addendum attached to this report give further evidence of the considerable diversity of the research undertaken. While some of this work belongs to the central or even classical parts of analysis (Kannai, Goldstein, Ryff), most of it deals with areas where analysis interacts with other disciplines. Some of these contact areas are rather new, as exemplified by the work of Atiyah combining algebraic topology with the study of elliptic operators or, in another direction, by the work of P. Sally, where new connections with number theory appear.

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Document Details

Document Type
Technical Report
Publication Date
Sep 13, 1968
Accession Number
AD0676999

Entities

People

  • Atle Selberg

Organizations

  • Institute for Advanced Study

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Abstracts
  • Algebraic Topology
  • Banach Space
  • Boundary Value Problems
  • Cauchy Problem
  • Classification
  • Differential Equations
  • Eigenvalues
  • Equations
  • Geodesics
  • Geometry
  • Harmonic Analysis
  • Hilbert Space
  • Mathematics
  • New Jersey
  • Security
  • Topology

Fields of Study

  • Mathematics

Readers

  • Linear Algebra
  • Mathematical Modeling and Probability Theory.
  • Technical Research and Report Writing.