Functional Analysis on the Eve of the 21st Century: Volume I: In Honor of the Eightieth Birthday of I. M. Gelfand
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Boston, MA
Birkhäuser Boston
1995
|
| Schriftenreihe: | Progress in Mathematics
131/132 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | A four-day conference, "Functional Analysis on the Eve of the Twenty First Century," was held at Rutgers University, New Brunswick, New Jersey, from October 24 to 27, 1993, in honor of the eightieth birthday of Professor Israel Moiseyevich Gelfand. He was born in Krasnye Okna, near Odessa, on September 2, 1913. Israel Gelfand has played a crucial role in the development of functional analysis during the last half-century. His work and his philosophy have in fact helped to shape our understanding of the term "functional analysis" itself, as has the celebrated journal Functional Analysis and Its Applications, which he edited for many years. Functional analysis appeared at the beginning of the century in the classic papers of Hilbert on integral operators. Its crucial aspect was the geometric interpretation of families of functions as infinite-dimensional spaces, and of op erators (particularly differential and integral operators) as infinite-dimensional analogues of matrices, directly leading to the geometrization of spectral theory. This view of functional analysis as infinite-dimensional geometry organically included many facets of nineteenth-century classical analysis, such as power series, Fourier series and integrals, and other integral transforms |
| Beschreibung: | 1 Online-Ressource (XLVI, 624 p) |
| ISBN: | 9781461225829 9781461275909 |
| DOI: | 10.1007/978-1-4612-2582-9 |
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| indexdate | 2024-07-10T01:21:06Z |
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| isbn | 9781461225829 9781461275909 |
| language | English |
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| spelling | Gindikin, Simon Verfasser aut Functional Analysis on the Eve of the 21st Century Volume I: In Honor of the Eightieth Birthday of I. M. Gelfand edited by Simon Gindikin, James Lepowsky, Robert L. Wilson Boston, MA Birkhäuser Boston 1995 1 Online-Ressource (XLVI, 624 p) txt rdacontent c rdamedia cr rdacarrier Progress in Mathematics 131/132 A four-day conference, "Functional Analysis on the Eve of the Twenty First Century," was held at Rutgers University, New Brunswick, New Jersey, from October 24 to 27, 1993, in honor of the eightieth birthday of Professor Israel Moiseyevich Gelfand. He was born in Krasnye Okna, near Odessa, on September 2, 1913. Israel Gelfand has played a crucial role in the development of functional analysis during the last half-century. His work and his philosophy have in fact helped to shape our understanding of the term "functional analysis" itself, as has the celebrated journal Functional Analysis and Its Applications, which he edited for many years. Functional analysis appeared at the beginning of the century in the classic papers of Hilbert on integral operators. Its crucial aspect was the geometric interpretation of families of functions as infinite-dimensional spaces, and of op erators (particularly differential and integral operators) as infinite-dimensional analogues of matrices, directly leading to the geometrization of spectral theory. This view of functional analysis as infinite-dimensional geometry organically included many facets of nineteenth-century classical analysis, such as power series, Fourier series and integrals, and other integral transforms Mathematics Functional analysis Functional Analysis Mathematik Lepowsky, James Sonstige oth Wilson, Robert L. Sonstige oth https://doi.org/10.1007/978-1-4612-2582-9 Verlag Volltext |
| spellingShingle | Gindikin, Simon Functional Analysis on the Eve of the 21st Century Volume I: In Honor of the Eightieth Birthday of I. M. Gelfand Mathematics Functional analysis Functional Analysis Mathematik |
| title | Functional Analysis on the Eve of the 21st Century Volume I: In Honor of the Eightieth Birthday of I. M. Gelfand |
| title_auth | Functional Analysis on the Eve of the 21st Century Volume I: In Honor of the Eightieth Birthday of I. M. Gelfand |
| title_exact_search | Functional Analysis on the Eve of the 21st Century Volume I: In Honor of the Eightieth Birthday of I. M. Gelfand |
| title_full | Functional Analysis on the Eve of the 21st Century Volume I: In Honor of the Eightieth Birthday of I. M. Gelfand edited by Simon Gindikin, James Lepowsky, Robert L. Wilson |
| title_fullStr | Functional Analysis on the Eve of the 21st Century Volume I: In Honor of the Eightieth Birthday of I. M. Gelfand edited by Simon Gindikin, James Lepowsky, Robert L. Wilson |
| title_full_unstemmed | Functional Analysis on the Eve of the 21st Century Volume I: In Honor of the Eightieth Birthday of I. M. Gelfand edited by Simon Gindikin, James Lepowsky, Robert L. Wilson |
| title_short | Functional Analysis on the Eve of the 21st Century |
| title_sort | functional analysis on the eve of the 21st century volume i in honor of the eightieth birthday of i m gelfand |
| title_sub | Volume I: In Honor of the Eightieth Birthday of I. M. Gelfand |
| topic | Mathematics Functional analysis Functional Analysis Mathematik |
| topic_facet | Mathematics Functional analysis Functional Analysis Mathematik |
| url | https://doi.org/10.1007/978-1-4612-2582-9 |
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