SPECIAL PROGRAM IN MATHEMATICAL ANALYSIS.
Final scientific status rept.,
INSTITUTE FOR ADVANCED STUDY PRINCETON N J
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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
- Theoretical Mathematics