WorldCat Identities

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

Overview
Works: 51 works in 215 publications in 5 languages and 3,233 library holdings
Genres: Conference papers and proceedings 
Roles: Author, Editor, Honoree, Other
Classifications: QA331, 517.5
Publication Timeline
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Most widely held works about I. I Pi︠a︡tet︠s︡kiĭ-Shapiro
 
Most widely held works by I. I Pi︠a︡tet︠s︡kiĭ-Shapiro
Representation theory and automorphic functions by I. M Gelʹfand( Book )

42 editions published between 1966 and 2016 in 3 languages and held by 639 WorldCat member libraries worldwide

Automorphic functions and the geometry of classical domains by I. I Pi︠a︡tet︠s︡kiĭ-Shapiro( Book )

40 editions published between 1961 and 1969 in 3 languages and held by 619 WorldCat member libraries worldwide

Explicit constructions of automorphic L-functions by Stephen S Gelbart( Book )

14 editions published in 1987 in 3 languages and held by 355 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
Complex representations of GL(2,K) for finite fields K by I. I Pi︠a︡tet︠s︡kiĭ-Shapiro( Book )

11 editions published in 1983 in English and held by 280 WorldCat member libraries worldwide

L functions for the orthogonal group by D Ginzburg( Book )

13 editions published in 1997 in English and held by 232 WorldCat member libraries worldwide

Selected works of Ilya Piatetski-Shapiro by I. I Pi︠a︡tet︠s︡kiĭ-Shapiro( Book )

6 editions published between 2000 and 2001 in English and held by 139 WorldCat member libraries worldwide

Festschrift in honor of I.I. Piatetski-Shapiro on the occasion of his sixtieth birthday by Stephen S Gelbart( Book )

9 editions published in 1990 in English and held by 97 WorldCat member libraries worldwide

The Schur lectures (1992) by Roger Howe( Book )

9 editions published in 1995 in English and held by 81 WorldCat member libraries worldwide

Explicit Constructions of Automorphic L-Functions by Stephen S Gelbart( )

2 editions published in 1987 in English and held by 32 WorldCat member libraries worldwide

The arithmetic and spectral analysis of Poincaré series by James W Cogdell( Book )

9 editions published in 1990 in English and held by 27 WorldCat member libraries worldwide

The Arithmetic and Spectral Analysis of Poincaré Series
Construction of cusp forms on GL(3) by Hervé Jacquet( Book )

4 editions published in 1975 in English and held by 25 WorldCat member libraries worldwide

Converse theorem for GL(3) by I. I Pi︠a︡tet︠s︡kiĭ-Shapiro( Book )

5 editions published in 1975 in English and held by 20 WorldCat member libraries worldwide

Introduction à l'étude des variétés kählériennes by André Weil( Book )

3 editions published in 1961 in Russian and held by 10 WorldCat member libraries worldwide

Automorphic functions and the geometry of classical domains [Geometrija klassičeskich oblastej i teorija avtomorfnych funkcij, engl.] I.I. Pyatetskii-Shapiro by I. I Pi︠a︡tet︠s︡kiĭ-Shapiro( Book )

1 edition published in 1969 in Undetermined and held by 9 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

Papers in analysis, number theory and automorphic L-functions by I. I Pi︠a︡tet︠s︡kiĭ-Shapiro( Book )

2 editions published in 1990 in English and held by 8 WorldCat member libraries worldwide

The Schur lectures (1992) : Roger Howe: Perspectives on Invariant theory ; Arithmetic quantum Chaos( Book )

1 edition published in 1995 in English and held by 2 WorldCat member libraries worldwide

Automorphic forms and related geometry : assessing the legecy of I.I. Piatetski-Shapiro : April 23-27, 2012, Yale University, New Haven, CT by Conference on Automorphic Forms and Related Geometry( Book )

1 edition published in 2014 in English and held by 1 WorldCat member library worldwide

Ilya I. Piatetski-Shapiro, who passed away on 21 February 2009, was a leading figure in the theory of automorphic forms. From April 23-27, 2012 the conference Automorphic Forms and Geometry: Assessing the Legacy of I.I. Piatetski-Shapiro was held at Yale University to assess the legacy of his work. The conference attempted both to summarize and consolidate the progress that was made during Piatetski-Shapiro's lifetime by him and his substantial group of co-workers, and to promote future work by identifying fruitful directions of further investigation. It was organized around several themes that reflected Piatetski-Shapiro's main foci of work and that have promise for future development. In each area, there were talks to review the current state of affairs with special attention to Piatetski-Shapiro's contributions, and other talks to report on current work and to outline promising avenues for continued progress. The themes selected were: functoriality and converse theorems, local and global L-functions and their periods, p-adic L-functions and arithmetic geometry, complex geometry, and analytic number theory
 
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Explicit constructions of automorphic L-functionsExplicit Constructions of Automorphic L-Functions
Alternative Names
Chapiro I. I. Piatetskiĭ- 1929-2009

Chapiro I. I. Piatetsky 1929-2009

Iliá Piatetski-Shapiro

Ilija Pjatecki-Šapiro

Iľja Iosifovič Piateckij-Šapiro

Ilja Pjatěckij-Šapiro

Ilja Pjatetskij-Shapiro

Ilja Pjatetskij-Shapiro sowjetisch-israelischer Mathematiker

Ilja Pjatetskij-Sjapiro israelsk matematikar

Ilja Pjatetskij-Sjapiro israelsk matematiker

Ilya Piatetski-Shapiro

Ilya Piatetski-Shapiro Israeli mathematician

Ilya Piatetski-Shapiro matematico russo

Ilya Piatetski-Shapiro wiskundige uit Israël (1929-2009)

Pâteckij-Šapiro, Èliâhu 1929-2009

Pâteckij-Šapiro, I. I.

Pâteckij-Šapiro, Ilʹâ Iosifovič 1929-2009

Pâteckij-Šapiro, Il'â Josifovič.

Piatesky-Chapiro, I.I. 1929-2009

Piatestski-Shapiro Ilya 1929-2009

Piatetski-Shapiro, I. 1929-2009

Piatetski-Shapiro, I. I.

Piatetski-Shapiro, I.I. 1929-2009

Piatetski-Shapiro, Il'ia Iosifovich

Piatetski-Shapiro, Ilja Iosofovitch 1929-2009

Piatetski-Shapiro, Ilya 1929-2009

Piatetski-Shapiro, Ilya I.

Piatetski-Shapiro, Ilya I. 1929-2009

Piatetskiĭ Chapiro, Ilia Iosifovitch 1929-2009

Piatetskii-Shapiro, I. I.

Piatetskii-Shapiro, I. I. 1929-

Piatetskii-Shapiro, I. I. 1929-2009

Piatetskii-Shapiro, Ilʹia I. 1929-2009

Piatetskii-Shapiro, Il'ia Iosifovich.

Pi︠a︡tet︠s︡kiĭ-Shapiro, Ilʹi︠a︡ Iosifovich 1929-2009

Piatetskii-Shapiro, Ilya Iosifovich 1929-2009

Piatetsky-Chapiro

Piatetsky-Chapiro I. I. 1929-2009

Pjateckij-Šapiro, I. I. 1929-2009

Pjateckij-Šapiro, Il'ja Iosifovič

Pjateckij-Šapiro, Ilʹja Iosifovič 1929-2009

Pjateckij-Šapiro, Ilya Iosifovič 1929-2009

Pjatetskij-Shapiro

Pyateskii-Shapiro, I.I. 1929-2009

Pyaʾṭeṣqiy-Šapiyrw, ʾIylyah 1929-2009

Pyatetskii-Shapiro, I. I.

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, Il'â Iosifovič Pâteckij-

Šapiro, Ilʹja I. Pjateckij- 1929-2009

Shapiro, I. I. Pi︠a︡tet︠s︡kiĭ- 1929-2009

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

Shapiro, I. I. Pyatetskii- 1929-2009

Shapiro, Ilʹia I. Piatetskii- 1929-2009

Shapiro, Il'ia Iosifovich Pjatetskij-

Shapiro, Ilia Iosifovich Pyatetskii-

Shapiro Ilia Iosifovich Pyatetskii- 1929-2009

Shapiro, Ilya I. Piatetski-

Shapiro, Ilya Piatetski-.

Shapiro, Ilya Piatetski- 1929-

Shapiro Ilya Piatetski- 1929-2009

Shapiro Ilya Piatetsky- 1929-2009

Shapiro Ilya Pyatetskii- 1929-2009

Илија Пјатецки-Шапиро

Пятецкий-Шапиро, Илья Иосифович

Пятецкий-Шапиро, Илья Иосифович 1929-2009

Пятецкий-Шапиро, Элияху 1929-2009

איליה פיאטצקי-שפירו

פיאטצקי-שפירו איליה 1929-2009

일리야 퍄테츠키샤피로 이스라엘의 수학자

イリヤ・ピアテツキー=シャピロ

Languages
English (131)

Russian (28)

French (15)

German (1)

Spanish (1)

Covers
L functions for the orthogonal groupSelected works of Ilya Piatetski-ShapiroExplicit Constructions of Automorphic L-Functions