WorldCat Identities

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

Overview
Works: 82 works in 248 publications in 4 languages and 3,414 library holdings
Genres: Conference papers and proceedings 
Roles: Author, Editor, Honoree, Other
Classifications: QA331, 512.86
Publication Timeline
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Most widely held works about I. I Pi︠a︡tet︠s︡kiĭ-Shapiro
 
Most widely held works by I. I Pi︠a︡tet︠s︡kiĭ-Shapiro
Explicit constructions of automorphic L-functions by Stephen S Gelbart( Book )

19 editions published between 1987 and 2006 in English and German and held by 562 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
Representation theory and automorphic functions by Izrailʹ Moiseevič Gelʹfand( Book )

23 editions published between 1968 and 2016 in English and held by 537 WorldCat member libraries worldwide

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

11 editions published between 1961 and 1969 in English and Russian and held by 371 WorldCat member libraries worldwide

Complex representations of GL(2,K) for finite fields K by I. I Pi︠a︡tet︠s︡kiĭ-Shapiro( Book )

13 editions published between 1983 and 2012 in English and Undetermined and held by 307 WorldCat member libraries worldwide

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

8 editions published in 1990 in English and held by 279 WorldCat member libraries worldwide

The Arithmetic and Spectral Analysis of Poincaré Series
L functions for the orthogonal group by D Ginzburg( Book )

12 editions published in 1997 in English and held by 276 WorldCat member libraries worldwide

Géométrie des domaines classiques et théorie des fonctions automorphes by Ilya Piatetski-Shapiro( Book )

18 editions published between 1961 and 1967 in 3 languages and held by 214 WorldCat member libraries worldwide

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

6 editions published between 2000 and 2001 in English and held by 148 WorldCat member libraries worldwide

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

8 editions published in 1990 in English and held by 91 WorldCat member libraries worldwide

Representation theory and automorphic functions by I. M Gel'fand( Book )

11 editions published between 1968 and 2016 in English and Russian and held by 65 WorldCat member libraries worldwide

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

6 editions published in 1995 in English and held by 52 WorldCat member libraries worldwide

Generalized functions by I. M Gelʹfand( )

6 editions published between 1969 and 2016 in English and held by 42 WorldCat member libraries worldwide

The first systematic theory of generalized functions (also known as distributions) was created in the early 1950s, although some aspects were developed much earlier, most notably in the definition of the Green's function in mathematics and in the work of Paul Dirac on quantum electrodynamics in physics. The six-volume collection, Generalized Functions, written by I.M. Gel2 and and co-authors and published in Russian between 1958 and 1966, gives an introduction to generalized functions and presents various applications to analysis, PDE, stochastic processes, and representation theory. The unif
The Schur lectures (1992) : Roger Howe, Perspectives on invariant theory : Peter Sarnak, Arithmetic quantum chaos( Book )

3 editions published in 1995 in English and held by 36 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 )

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

Automorphic functions and the geometry of classical domains by Ilya Piatetski-Shapiro( Book )

6 editions published in 1969 in English and held by 20 WorldCat member libraries worldwide

Complex representations of GL[2,K] for finite fields K by Il'ja Iosifovič Pjateckij-Šapiro( Book )

3 editions published in 1983 in English and held by 19 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 18 WorldCat member libraries worldwide

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

2 editions published in 1990 in English and held by 11 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

 
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Explicit constructions of automorphic L-functions
Covers
L functions for the orthogonal groupSelected works of Ilya Piatetski-Shapiro
Alternative Names
Chapiro I. I. Piatetskiĭ- 1929-2009

Chapiro I. I. Piatetsky 1929-2009

Iliá Piatetski-Shapiro

Iliá Piatetski-Shapiro matemático ruso

Ilija Pjatecki-Šapiro

Iľja Iosifovič Piateckij-Šapiro

Ilja Pjatěckij-Šapiro

Il'ja Pjateckij-Šapiro matematico russo

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 matemàtic rus

Ilya Piatetski-Shapiro matematico russo

Ilya Piatetski-Shapiro mathématicien russe

Ilya Piatetski-Shapiro Russian mathematician

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

Pâteckij-Šapiro, Èliâhu 1929-2009

Pâteckij-Šapiro, I. I.

Pâteckij-Šapiro, Ilʹâ Iosifovič

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, Ilia

Piatetski-Shapiro, Ilia Iosifovich

Piatetski-Shapiro, Ilja Iosofovitch 1929-2009

Piatetski-Shapiro, Ilya

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, I. I. (Il'ia Iosifovich), 1929-

Piatetskii-Shapiro, Ilʹia I. 1929-2009

Pi͡atet͡skiĭ-Shapiro, Ilʹi͡a Iosifovich

Pi︠a︡tet︠s︡kiĭ-Shapiro, Ilʹi︠a︡ Iosifovich 1929-2009

Piatetskii-Shapiro, Ilya Iosifovich 1929-2009

Piatetsky-Chapiro

Piatetsky-Chapiro, I.I.

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

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

Шапиро Илья Иосифович Пятецкий-

איליה פיאטצקי-שפירו

איליה פיאטצקי-שפירו מתמטיקאי רוסי

פיאטצקי-שפירו איליה 1929-2009

ایلیا پیت تسکی-شاپیرو

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イリヤ・ピアテツキー=シャピロ

伊利亞·皮亞特茨基-沙皮羅

Languages
English (144)

French (15)

Russian (13)

German (1)