Mathematical Sciences: Analysis on Spaces of Analytic       Functions
{'Code': '03040103', 'Directorate': {'Abbreviation': 'MPS', 'LongName': 'Direct For Mathematical & Physical Scien'}, 'Division': {'Abbreviation': 'DMS', 'LongName': 'Division Of Mathematical Sciences'}}
{'SignBlockName': 'William Y. Velez', 'PO_EMAI': None, 'PO_PHON': None}
The theory of analytic functions of a complex variable                     (those that are expandable in power series, so roughly speaking                 the limits of complex polynomials) has enriched all of                          mathematics for over a century. Such functions enjoy many                       remarkable properties, for instance that their values at points                 inside a closed curve are determined completely by their values                 on the curve.  It happens that such functions readily aggregate                 themselves into Hilbert spaces, and the theory of operators on                  Hilbert space gains extra vividness when specialized to these                   spaces of analytic functions.  The investigators will study                     specific classes of operators on the Hardy, Bergman, and                        Dirichlet function spaces, as well as algebras of bounded                       analytic functions on the unit disc.
[{'FirstName': 'Sheldon', 'LastName': 'Axler', 'PI_MID_INIT': None, 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Sheldon Axler', 'EmailAddress': 'axler@sfsu.edu', 'NSF_ID': '000268528', 'StartDate': '07/01/1988', 'EndDate': None, 'RoleCode': 'Principal Investigator'}, {'FirstName': 'Joel', 'LastName': 'Shapiro', 'PI_MID_INIT': 'H', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Joel H Shapiro', 'EmailAddress': 'shapiro@math.msu.edu', 'NSF_ID': '000108229', 'StartDate': '07/01/1988', 'EndDate': None, 'RoleCode': 'Co-Principal Investigator'}]
{'Name': 'Michigan State University', 'CityName': 'EAST LANSING', 'ZipCode': '488242600', 'PhoneNumber': '5173555040', 'StreetAddress': '426 AUDITORIUM RD RM 2', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'Michigan', 'StateCode': 'MI', 'CONGRESSDISTRICT': '07', 'CONGRESS_DISTRICT_ORG': 'MI07', 'ORG_UEI_NUM': 'R28EKN92ZTZ9', 'ORG_LGL_BUS_NAME': 'MICHIGAN STATE UNIVERSITY', 'ORG_PRNT_UEI_NUM': 'VJKZC4D1JN36'}
{'Name': None, 'CityName': None, 'StateCode': None, 'ZipCode': None, 'StreetAddress': None, 'CountryCode': None, 'CountryName': None, 'StateName': None, 'CountryFlag': None, 'CONGRESSDISTRICT': None, 'CONGRESS_DISTRICT_PERF': '""'}
{'Code': '1262', 'Text': 'MODERN ANALYSIS'}
{'url': 'https://www.nsf.gov/awardsearch/download?DownloadFileName=1988&All=true', 'xml': '8800823.xml'}