SPECIAL PROGRAM IN MATHEMATICAL ANALYSIS.
Abstract
The research carried out belonged mainly to the following fields: (1) Harmonic analysis on abelian groups and analytic functions of one or several complex variables: Distribution of generalized primes and the connected Dirichlet divisor problem (Diamond). The density problem for balayage (Landau). Closure properties of given sets of characters (Malliavin and Beurling). Analytic functions of several complex variables (Narasimhan, partly with Borel, Gunning). The monodromy theorem (Ryff). Extension to analytic modules of a theorem of Osgood and Hartogs (Spallek). Harmonic analysis on local fields (Taibleson). (2) Harmonic analysis and group representations: The Plancherel theorem for solvable Lie groups (Brezin). The two-by-two unimodular group over a local field (Sally). (3) Functional analysis, differential operators: The closed graph theorem, bilinear forms in Hilbert space (McIntosh). Analytic approach to the Atiyah-Singer index theorem (Cohen). The lacunas in the solution of the wave equation (Garding). Cauchy problems (Goldstein). (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 18, 1968
- Accession Number
- AD0678201
Entities
People
- Arne Beurling
Organizations
- Institute for Advanced Study