Frank Forelli: Difference between revisions
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{{short description|American mathematician}} |
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'''Frank John Forelli''', Jr. (8 April 1932, [[San Diego]] – 5 September 1994, [[Madison, Wisconsin]]) was an American mathematician, specializing in the functional analysis of [[holomorphic function]]s.<ref name="ObitUWM">{{cite web|title=Obituary: Frank Forelli|website=Van Vleck Notes: The Newsletter of the Mathematics Department of the University of Wisconsin Madison|date=Fall 1994|pages=4–5|url=http://www.math.wisc.edu/oldhome/news/news1994.pdf}}</ref> |
'''Frank John Forelli''', Jr. (8 April 1932, [[San Diego]] – 5 September 1994, [[Madison, Wisconsin]]) was an American mathematician, specializing in the functional analysis of [[holomorphic function]]s.<ref name="ObitUWM">{{cite web|title=Obituary: Frank Forelli|website=Van Vleck Notes: The Newsletter of the Mathematics Department of the University of Wisconsin Madison|date=Fall 1994|pages=4–5|url=http://www.math.wisc.edu/oldhome/news/news1994.pdf|access-date=2015-09-29|archive-date=2015-09-30|archive-url=https://web.archive.org/web/20150930151231/http://www.math.wisc.edu/oldhome/news/news1994.pdf|url-status=dead}}</ref> |
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Forelli received his bachelor's degree from the [[University of California, Berkeley]] and then, after 3 years as an officer in the U. S. Navy, returned to Berkeley.<ref name=ObitUWM/> He received there in 1961 his Ph.D. |
Forelli received his bachelor's degree from the [[University of California, Berkeley]] and then, after 3 years as an officer in the U. S. Navy, returned to Berkeley.<ref name=ObitUWM/> He received there in 1961 his Ph.D. under [[Henry Helson]] with thesis ''Marcel Riesz's theorem on conjugate functions''.<ref>{{MathGenealogy|id=8574}}</ref> In 1961 Forelli joined the faculty of the [[University of Wisconsin–Madison]], where he remained for the remainder of his life.<ref name=ObitUWM/> |
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{{blockquote|The main focus of his research was in the properties of holomorphic functions. In particular, he used [[Hilbert space]] methods applied to the boundary values of such functions. His contributions to the field were recognized early in his career by an invitation to give an invited lecture at the |
{{blockquote|The main focus of his research was in the properties of holomorphic functions. In particular, he used [[Hilbert space]] methods applied to the boundary values of such functions. His contributions to the field were recognized early in his career by an invitation to give an [[list of International Congresses of Mathematicians Plenary and Invited Speakers|invited lecture at the International Congress of Mathematicians]] in [[Nice]] in 1970.<ref name=ObitUWM/>}} |
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Upon his death, he was survived by his wife and two daughters.<ref name=ObitUWM/> |
Upon his death, he was survived by his wife and two daughters.<ref name=ObitUWM/> |
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==Selected publications== |
==Selected publications== |
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*{{cite journal|title=The Marcel Riesz theorem on conjugate functions|journal=Trans. Amer. Math. Soc.|year=1963|volume=106|pages=369–390|mr=0147827}} |
*{{cite journal|title=The Marcel Riesz theorem on conjugate functions|journal=Trans. Amer. Math. Soc.|year=1963|volume=106|issue=3|pages=369–390|mr=0147827|doi=10.1090/s0002-9947-1963-0147827-3|last1=Forelli|first1=Frank|doi-access=free}} |
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*{{cite journal|title=Invariant subspaces in L<sup>1</sup>|journal=Proc. Amer. Math. Soc.|year=1963|volume=14|pages=|mr=0144196}} |
*{{cite journal|title=Invariant subspaces in L<sup>1</sup>|journal=Proc. Amer. Math. Soc.|year=1963|volume=14|pages=76–79|mr=0144196|doi=10.1090/s0002-9939-1963-0144196-5|last1=Forelli|first1=Frank|doi-access=free}} |
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*{{cite journal|title=Analytic measures|journal=Pacific J. Math.|year=1963|volume=13|issue=2|pages=571–578|mr= |
*{{cite journal|title=Analytic measures|journal=Pacific J. Math.|year=1963|volume=13|issue=2|pages=571–578|mr=0157193|doi=10.2140/pjm.1963.13.571|last1=Forelli|first1=Frank|doi-access=free}} |
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*{{cite journal|title=Analytic and quasi-invariant measures|journal=Acta Math.|year=1967|volume=118|pages=33–59|mr=0209771}} |
*{{cite journal|title=Analytic and quasi-invariant measures|journal=Acta Math.|year=1967|volume=118|pages=33–59|mr=0209771|doi=10.1007/bf02392475|last1=Forelli|first1=Frank|doi-access=free}} |
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*{{cite journal|title=Uniqueness of representing measures|journal=Proc. Amer. Math. Soc.|year=1975|volume=47|mr=0355474}} |
*{{cite journal|title=Uniqueness of representing measures|journal=Proc. Amer. Math. Soc.|year=1975|volume=47|issue=2|pages=431|mr=0355474|doi= 10.2307/2039760|jstor=2039760|last1=Forelli|first1=Frank|doi-access=free}} |
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*{{cite journal|title=A necessary condition on the extreme points of a class of holomorphic functions|journal=Pacific J. Math.|year=1977|volume=73|issue=1|pages=81–86|mr=0466630}} |
*{{cite journal|title=A necessary condition on the extreme points of a class of holomorphic functions|journal=Pacific J. Math.|year=1977|volume=73|issue=1|pages=81–86|mr=0466630|doi=10.2140/pjm.1977.73.81|last1=Forelli|first1=Frank|doi-access=free}} |
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*{{cite journal|title=A necessary condition on the extreme points of a class of holomorphic functions. II.|journal=Pacific J. Math.|year=1981|volume=92|issue=1|pages=277–281|mr=618065}} |
*{{cite journal|title=A necessary condition on the extreme points of a class of holomorphic functions. II.|journal=Pacific J. Math.|year=1981|volume=92|issue=1|pages=277–281|mr=618065|doi=10.2140/pjm.1981.92.277|last1=Forelli|first1=Frank|doi-access=free}} |
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*{{cite journal|title=A note on ideals in the disc algebra|journal=Proc. Amer. Math. Soc.|year=1982|volume=84|pages=389–392|mr=640238}} |
*{{cite journal|title=A note on ideals in the disc algebra|journal=Proc. Amer. Math. Soc.|year=1982|volume=84|issue=3|pages=389–392|mr=640238|doi=10.1090/s0002-9939-1982-0640238-0|last1=Forelli|first1=Frank|doi-access=free}} |
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*{{cite journal|title=Uniqueness of representing measures|journal=Proc. Amer. Math. Soc.|year=1985|volume=93|pages=507–508|mr=774013}} |
*{{cite journal|title=Uniqueness of representing measures|journal=Proc. Amer. Math. Soc.|year=1985|volume=93|issue=3|pages=507–508|mr=774013|doi=10.1090/s0002-9939-1985-0774013-6|last1=Forelli|first1=Frank|doi-access=free}} |
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==References== |
==References== |
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{{Authority control}} |
{{Authority control}} |
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{{Persondata |
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| NAME = Forelli, Frank |
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| ALTERNATIVE NAMES = |
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| SHORT DESCRIPTION = American mathematician |
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| DATE OF BIRTH = 8 April 1932 |
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| PLACE OF BIRTH = San Diego |
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| DATE OF DEATH = 5 September 1994 |
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| PLACE OF DEATH = Madison, Wisconsin |
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}} |
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{{DEFAULTSORT:Forelli, Frank}} |
{{DEFAULTSORT:Forelli, Frank}} |
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[[Category:20th-century American mathematicians]] |
[[Category:20th-century American mathematicians]] |
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[[Category:1932 births]] |
[[Category:1932 births]] |
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[[Category:1994 deaths]] |
[[Category:1994 deaths]] |
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[[Category:People from San Diego]] |
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[[Category:University of California, Berkeley alumni]] |
[[Category:University of California, Berkeley alumni]] |
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[[Category:Complex analysts]] |
[[Category:Complex analysts]] |
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[[Category:Functional analysts]] |
[[Category:Functional analysts]] |
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[[Category: |
[[Category:American mathematical analysts]] |
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[[Category:University of |
[[Category:University of Wisconsin–Madison faculty]] |
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Latest revision as of 06:59, 6 May 2024
Frank John Forelli, Jr. (8 April 1932, San Diego – 5 September 1994, Madison, Wisconsin) was an American mathematician, specializing in the functional analysis of holomorphic functions.[1]
Forelli received his bachelor's degree from the University of California, Berkeley and then, after 3 years as an officer in the U. S. Navy, returned to Berkeley.[1] He received there in 1961 his Ph.D. under Henry Helson with thesis Marcel Riesz's theorem on conjugate functions.[2] In 1961 Forelli joined the faculty of the University of Wisconsin–Madison, where he remained for the remainder of his life.[1]
The main focus of his research was in the properties of holomorphic functions. In particular, he used Hilbert space methods applied to the boundary values of such functions. His contributions to the field were recognized early in his career by an invitation to give an invited lecture at the International Congress of Mathematicians in Nice in 1970.[1]
Upon his death, he was survived by his wife and two daughters.[1]
Selected publications
[edit]- Forelli, Frank (1963). "The Marcel Riesz theorem on conjugate functions". Trans. Amer. Math. Soc. 106 (3): 369–390. doi:10.1090/s0002-9947-1963-0147827-3. MR 0147827.
- Forelli, Frank (1963). "Invariant subspaces in L1". Proc. Amer. Math. Soc. 14: 76–79. doi:10.1090/s0002-9939-1963-0144196-5. MR 0144196.
- Forelli, Frank (1963). "Analytic measures". Pacific J. Math. 13 (2): 571–578. doi:10.2140/pjm.1963.13.571. MR 0157193.
- Forelli, Frank (1967). "Analytic and quasi-invariant measures". Acta Math. 118: 33–59. doi:10.1007/bf02392475. MR 0209771.
- Forelli, Frank (1975). "Uniqueness of representing measures". Proc. Amer. Math. Soc. 47 (2): 431. doi:10.2307/2039760. JSTOR 2039760. MR 0355474.
- Forelli, Frank (1977). "A necessary condition on the extreme points of a class of holomorphic functions". Pacific J. Math. 73 (1): 81–86. doi:10.2140/pjm.1977.73.81. MR 0466630.
- Forelli, Frank (1981). "A necessary condition on the extreme points of a class of holomorphic functions. II". Pacific J. Math. 92 (1): 277–281. doi:10.2140/pjm.1981.92.277. MR 0618065.
- Forelli, Frank (1982). "A note on ideals in the disc algebra". Proc. Amer. Math. Soc. 84 (3): 389–392. doi:10.1090/s0002-9939-1982-0640238-0. MR 0640238.
- Forelli, Frank (1985). "Uniqueness of representing measures". Proc. Amer. Math. Soc. 93 (3): 507–508. doi:10.1090/s0002-9939-1985-0774013-6. MR 0774013.
References
[edit]- ^ a b c d e "Obituary: Frank Forelli" (PDF). Van Vleck Notes: The Newsletter of the Mathematics Department of the University of Wisconsin Madison. Fall 1994. pp. 4–5. Archived from the original (PDF) on 2015-09-30. Retrieved 2015-09-29.
- ^ Frank Forelli at the Mathematics Genealogy Project
