Pi︠a︡tet︠s︡kiĭShapiro, I. I. (Ilʹi︠a︡ Iosifovich) 19292009
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 Pi︠a︡tet︠s︡kiĭShapiro
 Automorphic forms and related geometry : assessing the legecy of I.I. PiatetskiShapiro : April 2327, 2012, Yale University, New Haven, CT by Conference on Automorphic Forms and Related Geometry( Book )
Most widely held works by
I. I Pi︠a︡tet︠s︡kiĭShapiro
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
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 Pi︠a︡tet︠s︡kiĭShapiro(
Book
)
40 editions published between 1961 and 1969 in 3 languages and held by 619 WorldCat member libraries worldwide
40 editions published between 1961 and 1969 in 3 languages and held by 619 WorldCat member libraries worldwide
Explicit constructions of automorphic Lfunctions 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 Lfunctions attached by R.P. Langlands to automorphic representations of reductive algebraic groups. The first part of the book (by PiatetskiShapiro and Rallis) deals with Lfunctions for the simple classical groups; the second part (by Gelbart and PiatetskiShapiro) deals with nonsimple groups of the form G GL(n), with G a quasisplit reductive group of split rank n. The method of proof is to construct certain explicit zetaintegrals of RankinSelberg type which interpolate the relevant Langlands Lfunctions 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
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 Lfunctions attached by R.P. Langlands to automorphic representations of reductive algebraic groups. The first part of the book (by PiatetskiShapiro and Rallis) deals with Lfunctions for the simple classical groups; the second part (by Gelbart and PiatetskiShapiro) deals with nonsimple groups of the form G GL(n), with G a quasisplit reductive group of split rank n. The method of proof is to construct certain explicit zetaintegrals of RankinSelberg type which interpolate the relevant Langlands Lfunctions 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 Pi︠a︡tet︠s︡kiĭShapiro(
Book
)
11 editions published in 1983 in English and held by 280 WorldCat member libraries worldwide
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
13 editions published in 1997 in English and held by 232 WorldCat member libraries worldwide
Selected works of Ilya PiatetskiShapiro by
I. I Pi︠a︡tet︠s︡kiĭShapiro(
Book
)
6 editions published between 2000 and 2001 in English and held by 139 WorldCat member libraries worldwide
6 editions published between 2000 and 2001 in English and held by 139 WorldCat member libraries worldwide
Festschrift in honor of I.I. PiatetskiShapiro 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
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
9 editions published in 1995 in English and held by 81 WorldCat member libraries worldwide
Explicit Constructions of Automorphic LFunctions by
Stephen S Gelbart(
)
2 editions published in 1987 in English and held by 32 WorldCat member libraries worldwide
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
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
4 editions published in 1975 in English and held by 25 WorldCat member libraries worldwide
Converse theorem for GL(3) by
I. I Pi︠a︡tet︠s︡kiĭShapiro(
Book
)
5 editions published in 1975 in English and held by 20 WorldCat member libraries worldwide
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
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. PyatetskiiShapiro by
I. I Pi︠a︡tet︠s︡kiĭShapiro(
Book
)
1 edition published in 1969 in Undetermined and held by 9 WorldCat member libraries worldwide
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
1 edition published in 1988 in French and held by 9 WorldCat member libraries worldwide
Papers in analysis, number theory and automorphic Lfunctions by
I. I Pi︠a︡tet︠s︡kiĭShapiro(
Book
)
2 editions published in 1990 in English and held by 8 WorldCat member libraries worldwide
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
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. PiatetskiShapiro : April 2327, 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. PiatetskiShapiro, who passed away on 21 February 2009, was a leading figure in the theory of automorphic forms. From April 2327, 2012 the conference Automorphic Forms and Geometry: Assessing the Legacy of I.I. PiatetskiShapiro 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 PiatetskiShapiro's lifetime by him and his substantial group of coworkers, and to promote future work by identifying fruitful directions of further investigation. It was organized around several themes that reflected PiatetskiShapiro'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 PiatetskiShapiro'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 Lfunctions and their periods, padic Lfunctions and arithmetic geometry, complex geometry, and analytic number theory
1 edition published in 2014 in English and held by 1 WorldCat member library worldwide
Ilya I. PiatetskiShapiro, who passed away on 21 February 2009, was a leading figure in the theory of automorphic forms. From April 2327, 2012 the conference Automorphic Forms and Geometry: Assessing the Legacy of I.I. PiatetskiShapiro 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 PiatetskiShapiro's lifetime by him and his substantial group of coworkers, and to promote future work by identifying fruitful directions of further investigation. It was organized around several themes that reflected PiatetskiShapiro'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 PiatetskiShapiro'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 Lfunctions and their periods, padic Lfunctions and arithmetic geometry, complex geometry, and analytic number theory
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Related Identities
 Rallis, Stephen 1942
 Gelbart, Stephen S. 1946 Author Editor
 Graev, M. I. (Mark Iosifovich)
 Cogdell, James W. 1953 Author Editor
 Gelʹfand, I. M. (Izrailʹ Moiseevich) Author
 Ginzburg, D. (David) Author
 Sarnak, Peter Other Editor
 Shahidi, Freydoon Editor
 Gindikin, S. G. (Semen Grigorʹevich) Editor
 Soudry, David 1956 Editor
Useful Links
Associated Subjects
Algebra Algebraic fields Algebraic functions Algebraic varieties Automorphic forms Automorphic functions Complex manifolds Cusp forms (Mathematics) Differential equations Differential invariants Finite fields (Algebra) Forms (Mathematics) Functional analysis Functional equationsNumerical solutions Functions Functions, Zeta Generalized spaces Geometry Group actions (Mathematics) Group theory Hamiltonian systems Harmonic analysis Integral geometry Integrals Invariants Kählerian structures Lfunctions Linear algebraic groups Mathematics Number theory Pi︠a︡tet︠s︡kiĭShapiro, I. I.(Ilʹi︠a︡ Iosifovich), Poincaré series Quantum chaos Representations of groups Selberg trace formula Spectral theory (Mathematics) Theory of distributions (Functional analysis)
Alternative Names
Chapiro I. I. Piatetskiĭ 19292009
Chapiro I. I. Piatetsky 19292009
Iliá PiatetskiShapiro
Ilija PjateckiŠapiro
Iľja Iosifovič PiateckijŠapiro
Ilja PjatěckijŠapiro
Ilja PjatetskijShapiro
Ilja PjatetskijShapiro sowjetischisraelischer Mathematiker
Ilja PjatetskijSjapiro israelsk matematikar
Ilja PjatetskijSjapiro israelsk matematiker
Ilya PiatetskiShapiro
Ilya PiatetskiShapiro Israeli mathematician
Ilya PiatetskiShapiro matematico russo
Ilya PiatetskiShapiro wiskundige uit Israël (19292009)
PâteckijŠapiro, Èliâhu 19292009
PâteckijŠapiro, I. I.
PâteckijŠapiro, Ilʹâ Iosifovič 19292009
PâteckijŠapiro, Il'â Josifovič.
PiateskyChapiro, I.I. 19292009
PiatestskiShapiro Ilya 19292009
PiatetskiShapiro, I. 19292009
PiatetskiShapiro, I. I.
PiatetskiShapiro, I.I. 19292009
PiatetskiShapiro, Il'ia Iosifovich
PiatetskiShapiro, Ilja Iosofovitch 19292009
PiatetskiShapiro, Ilya 19292009
PiatetskiShapiro, Ilya I.
PiatetskiShapiro, Ilya I. 19292009
Piatetskiĭ Chapiro, Ilia Iosifovitch 19292009
PiatetskiiShapiro, I. I.
PiatetskiiShapiro, I. I. 1929
PiatetskiiShapiro, I. I. 19292009
PiatetskiiShapiro, Ilʹia I. 19292009
PiatetskiiShapiro, Il'ia Iosifovich.
Pi︠a︡tet︠s︡kiĭShapiro, Ilʹi︠a︡ Iosifovich 19292009
PiatetskiiShapiro, Ilya Iosifovich 19292009
PiatetskyChapiro
PiatetskyChapiro I. I. 19292009
PjateckijŠapiro, I. I. 19292009
PjateckijŠapiro, Il'ja Iosifovič
PjateckijŠapiro, Ilʹja Iosifovič 19292009
PjateckijŠapiro, Ilya Iosifovič 19292009
PjatetskijShapiro
PyateskiiShapiro, I.I. 19292009
PyaʾṭeṣqiyŠapiyrw, ʾIylyah 19292009
PyatetskiiShapiro, I. I.
PyatetskiiShapiro, I. I. 1929
PyatetskiiShapiro I. I. 19292009
PyatetskiiShapiro Ilia Iosifovich 19292009
PyatetskyChapiro, I. I.
Šapiro, I.I. 19292009
Šapiro, Il'â Iosifovič Pâteckij
Šapiro, Ilʹja I. Pjateckij 19292009
Shapiro, I. I. Pi︠a︡tet︠s︡kiĭ 19292009
Shapiro, I. I. Pi︠a︡tet︠s︡kiĭ (Ilʹi︠a︡ Iosifovich Pi︠a︡tet︠s︡kiĭ), 19292009
Shapiro, I. I. Pyatetskii 19292009
Shapiro, Ilʹia I. Piatetskii 19292009
Shapiro, Il'ia Iosifovich Pjatetskij
Shapiro, Ilia Iosifovich Pyatetskii
Shapiro Ilia Iosifovich Pyatetskii 19292009
Shapiro, Ilya I. Piatetski
Shapiro, Ilya Piatetski.
Shapiro, Ilya Piatetski 1929
Shapiro Ilya Piatetski 19292009
Shapiro Ilya Piatetsky 19292009
Shapiro Ilya Pyatetskii 19292009
Илија ПјатецкиШапиро
ПятецкийШапиро, Илья Иосифович
ПятецкийШапиро, Илья Иосифович 19292009
ПятецкийШапиро, Элияху 19292009
איליה פיאטצקישפירו
פיאטצקישפירו איליה 19292009
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