WorldCat Identities

Pi︠a︡tet︠s︡kiĭ-Shapiro, I. I. (Ilʹi︠a︡ Iosifovich) 1929-2009

Overview
Works: 48 works in 119 publications in 4 languages and 2,710 library holdings
Genres: Conference proceedings 
Roles: Editor
Classifications: QA3, 512.86
Publication Timeline
Key
Publications about  I. I Pi︠a︡tet︠s︡kiĭ-Shapiro Publications about I. I Pi︠a︡tet︠s︡kiĭ-Shapiro
Publications by  I. I Pi︠a︡tet︠s︡kiĭ-Shapiro Publications by I. I Pi︠a︡tet︠s︡kiĭ-Shapiro
posthumous Publications by I. I Pi︠a︡tet︠s︡kiĭ-Shapiro, published posthumously.
Most widely held works by I. I Pi︠a︡tet︠s︡kiĭ-Shapiro
Representation theory and automorphic functions by I. M Gelʹfand ( Book )
15 editions published between 1968 and 1990 in English and held by 543 WorldCat member libraries worldwide
Explicit constructions of automorphic L-functions by Stephen S Gelbart ( Book )
12 editions published in 1987 in English and German and held by 432 WorldCat member libraries worldwide
The goal of this research monograph is to derive the analytic continuation and functional equation of the L-functions attached by R.P. Langlands to automorphic representations of reductive algebraic groups. The first part of the book (by Piatetski-Shapiro and Rallis) deals with L-functions for the simple classical groups; the second part (by Gelbart and Piatetski-Shapiro) deals with non-simple groups of the form G GL(n), with G a quasi-split reductive group of split rank n. The method of proof is to construct certain explicit zeta-integrals of Rankin-Selberg type which interpolate the relevant Langlands L-functions and can be analyzed via the theory of Eisenstein series and intertwining operators. This is the first time such an approach has been applied to such general classes of groups. The flavor of the local theory is decidedly representation theoretic, and the work should be of interest to researchers in group representation theory as well as number theory
Automorphic functions and the geometry of classical domains by I. I Pi︠a︡tet︠s︡kiĭ-Shapiro ( Book )
5 editions published in 1969 in English and held by 332 WorldCat member libraries worldwide
Complex representations of GL(2,K) for finite fields K by I. I Pi︠a︡tet︠s︡kiĭ-Shapiro ( Book )
5 editions published in 1983 in English and held by 250 WorldCat member libraries worldwide
The arithmetic and spectral analysis of Poincaré series by James W Cogdell ( Book )
6 editions published in 1990 in English and held by 216 WorldCat member libraries worldwide
L functions for the orthogonal group by D Ginzburg ( Book )
6 editions published in 1997 in English and held by 212 WorldCat member libraries worldwide
Géométrie des domaines classiques et théorie des fonctions automorphes by I. I Pi︠a︡tet︠s︡kiĭ-Shapiro ( Book )
8 editions published in 1966 in French and English and held by 191 WorldCat member libraries worldwide
Selected works of Ilya Piatetski-Shapiro by I. I Pi︠a︡tet︠s︡kiĭ-Shapiro ( Book )
5 editions published between 2000 and 2001 in English and held by 131 WorldCat member libraries worldwide
The Schur lectures (1992) : Roger Howe, Perspectives on invariant theory : Peter Sarnak, Arithmetic quantum chaos by Roger Howe ( Book )
6 editions published in 1995 in English and held by 78 WorldCat member libraries worldwide
Festschrift in honor of I.I. Piatetski-Shapiro on the occasion of his sixtieth birthday ( Book )
1 edition published in 1990 in English and held by 73 WorldCat member libraries worldwide
Geometrii︠a︡ klassicheskikh oblasteĭ i teorii︠a︡ avtomorfnykh funkt︠s︡iĭ by I. I Pi︠a︡tet︠s︡kiĭ-Shapiro ( Book )
4 editions published in 1961 in Russian and held by 39 WorldCat member libraries worldwide
Teorii︠a︡ predstavleniĭ i avtomorfnye funkt︠s︡ii by I. M Gelʹfand ( Book )
2 editions published in 1966 in Russian and held by 35 WorldCat member libraries worldwide
Construction of cusp forms on GL(3) by Hervé Jacquet ( Book )
3 editions published in 1975 in English and held by 26 WorldCat member libraries worldwide
Explicit Constructions of Automorphic L-Functions by Stephen S Gelbart ( )
2 editions published in 1987 in English and held by 23 WorldCat member libraries worldwide
Converse theorem for GL(3) by I. I Pi︠a︡tet︠s︡kiĭ-Shapiro ( Book )
2 editions published in 1975 in English and held by 19 WorldCat member libraries worldwide
Complex representations of GL[2,K] for finite fields K by I. I Pi︠a︡tet︠s︡kiĭ-Shapiro ( Book )
2 editions published in 1983 in English and held by 15 WorldCat member libraries worldwide
Festschrift in honor of I.I. Piatetski-Shapiro on the occasion of his sixtieth birthday ( Book )
1 edition published in 1990 in English and held by 11 WorldCat member libraries worldwide
Publications mathematiques de l'Ihes by Alain Chenciner ( Book )
1 edition published in 1988 in French and held by 9 WorldCat member libraries worldwide
Festschrift in honor of I.I. Piatetski-Shapiro on the occasion of his sixtieth birthday ( Book )
1 edition published in 1990 in English and held by 9 WorldCat member libraries worldwide
Vvedenie v teorii︠u︡ kėlerovykh mnogoobraziĭ by André Weil ( Book )
1 edition published in 1961 in Russian and held by 8 WorldCat member libraries worldwide
 
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Audience level: 0.82 (from 0.35 for Complex re ... to 1.00 for Automorphi ...)
Alternative Names
Chapiro I. I. Piatetskiĭ- 1929-2009
Chapiro I. I. Piatetsky 1929-2009
Pâteckij-Šapiro Èliâhu 1929-2009
Pâteckij-Šapiro, I. I.
Pâteckij-Šapiro Ilʹâ Iosifovič 1929-2009
Pâteckij-Šapiro, Il'â Josifovič.
Piatestski-Shapiro Ilya 1929-2009
Piatetski-Shapiro, I., 1929-2009
Piatetski-Shapiro, I. I.
Piatetski-Shapiro, Il'ia Iosifovich
Piatetski-Shapiro, Ilya, 1929-2009
Piatetskiĭ Chapiro Ilia Iosifovitch 1929-2009
Piatetskii-Shapiro, I. I., 1929-
Piatetskii-Shapiro, Ilʹia I. 1929-2009
Piatetskii-Shapiro, Il'ia Iosifovich.
Pi︠a︡tet︠s︡kiĭ-Shapiro, Ilʹi︠a︡ Iosifovich, 1929-2009
Piatetsky-Chapiro, I. I., 1929-2009
Pjateckij-Šapiro, I. I. 1929-2009
Pjateckij-Šapiro, Il'ja Iosifovič
Pjateckij-Šapiro, Ilʹja Iosifovič 1929-2009 Vollstaendiger Name
Pyaʾṭeṣqiy-Šapiyrw ʾIylyah 1929-2009
Pyatetskii-Shapiro, I. I., 1929-
Pyatetskii-Shapiro, I.I., 1929-2009
Pyatetskii-Shapiro Ilia Iosifovich 1929-2009
Pyatetsky-Chapiro, I. I.
Šapiro, I.I., 1929-2009
Šapiro, Ilʹja I. Pjateckij- 1929-2009
Shapiro, I. I. Pi︠a︡tet︠s︡kiĭ- (Ilʹi︠a︡ Iosifovich Pi︠a︡tet︠s︡kiĭ-), 1929-2009
Shapiro, I. I. Pyatetskii- 1929-2009
Shapiro, Ilʹia I. Piatetskii- 1929-2009
Shapiro, Ilia Iosifovich Pyatetskii-
Shapiro Ilia Iosifovich Pyatetskii- 1929-2009
Shapiro, Ilya Piatetski-.
Shapiro, Ilya Piatetski-, 1929-
Shapiro, Ilya Piatetski- 1929-2009
Shapiro Ilya Piatetsky- 1929-2009
Shapiro Ilya Pyatetskii- 1929-2009
Пятецкий-Шапиро Илья Иосифович 1929-2009
Пятецкий-Шапиро Элияху 1929-2009
פיאטצקי-שפירו איליה 1929-2009
Languages
English (73)
French (8)
Russian (7)
German (1)
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