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## Details

Document Type: | Book |
---|---|

All Authors / Contributors: |
Paul J Cohen; STANFORD UNIV CALIF DEPT OF MATHEMATICS. |

OCLC Number: | 227625156 |

Description: | 5 p. |

### Abstract:

The research of this contract has covered several areas, including differential equations, harmonic analysis, functional analysis, logic, and quantum field theory. Some work has been done on the theoretical foundations of field theory while other work has been done on the classical problems in scattering theory arising from the physical situations. In harmonic analysis, questions about function spaces of analytic functions in more than one variable and classical problems in potential theory have been investigated. Tauberian theorems in their relation to number theory, and the general scope of the analytic methods of harmonic analysis in the theory of distribution of prime numbers have been considered. In Logic problems in the existence of models with automorphisms as well as general decision problems were investigated. Some recent results concern the application of automata in deciding various second order theories. Also work was done which offers hope of giving constructive estimates for problems in Diophantine Equations for which only non-constructive methods now exist. (Author).

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## Similar Items

### Related Subjects:(21)

- Theoretical Mathematics.
- Quantum Theory and Relativity.
- (Functional analysis.
- Reports)
- (Field theory.
- Quantum theory)
- Set theory.
- Number theory.
- Potential theory.
- Differential equations.
- Harmonic analysis.
- Matrices(mathematics)
- Analytic functions.
- Potential scattering.
- Groups(mathematics)
- LIE ALGEBRAS
- QUANTUM FIELD THEORY
- SCATTERING
- HARMONIC FUNCTIONS
- TAUBERIAN THEOREMS
- DIOPHANTINE EQUATIONS