Mathematical Sciences: Function Algebras
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This project is mathematical research in complex analysis in               dimension greater than one.  The general theme is the exploration               of phenomena that cannot occur in the one-dimensional case.  An                 important notion, well understood in dimension one but very                     difficult in higher dimensions, is that of the polynomial hull of               a set in complex space.                                                              Recent work by Professor Wermer and a collaborator of his                  has led to a new approach to the problem of finding the                         polynomial hull of a given set.  This approach suggests questions               and methods for a number of problems: polynomial approximation,                 the study of bounded analytic functions in one variable,                        singularities of analytic functions of several variables, and                   boundaries of complex manifolds.  These problems will be explored               using abstract methods from the theory of function algebras.
{'FirstName': 'John', 'LastName': 'Wermer', 'PI_MID_INIT': None, 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'John Wermer', 'EmailAddress': None, 'NSF_ID': '000111181', 'StartDate': '07/01/1988', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
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{'Code': '1262', 'Text': 'MODERN ANALYSIS'}
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