Pi︠a︡tet︠s︡kiĭShapiro, I. I. (Ilʹi︠a︡ Iosifovich) 19292009
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
.
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 James W Cogdell( Book )
Most widely held works by
I. I Pi︠a︡tet︠s︡kiĭShapiro
Explicit constructions of automorphic Lfunctions 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 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
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 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
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
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 Pi︠a︡tet︠s︡kiĭShapiro(
Book
)
11 editions published between 1961 and 1969 in English and Russian and held by 371 WorldCat member libraries worldwide
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 Pi︠a︡tet︠s︡kiĭShapiro(
Book
)
13 editions published between 1983 and 2012 in English and Undetermined and held by 307 WorldCat member libraries worldwide
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
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
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 PiatetskiShapiro(
Book
)
18 editions published between 1961 and 1967 in 3 languages and held by 214 WorldCat member libraries worldwide
18 editions published between 1961 and 1967 in 3 languages and held by 214 WorldCat member libraries worldwide
Selected works of Ilya PiatetskiShapiro 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
6 editions published between 2000 and 2001 in English and held by 148 WorldCat member libraries worldwide
Festschrift in honor of I.I. PiatetskiShapiro 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
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
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
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 sixvolume collection, Generalized Functions, written by I.M. Gel2 and and coauthors 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
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 sixvolume collection, Generalized Functions, written by I.M. Gel2 and and coauthors 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
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
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
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 PiatetskiShapiro(
Book
)
6 editions published in 1969 in English and held by 20 WorldCat member libraries worldwide
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 PjateckijŠapiro(
Book
)
3 editions published in 1983 in English and held by 19 WorldCat member libraries worldwide
3 editions published in 1983 in English and held by 19 WorldCat member libraries worldwide
Converse theorem for GL(3) by
I. I Pi︠a︡tet︠s︡kiĭShapiro(
Book
)
2 editions published in 1975 in English and held by 18 WorldCat member libraries worldwide
2 editions published in 1975 in English and held by 18 WorldCat member libraries worldwide
Festschrift in honor of I.I. PiatetskiShapiro on the occasion of his sixtieth birthday(
Book
)
2 editions published in 1990 in English and held by 11 WorldCat member libraries worldwide
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
3 editions published in 1961 in Russian and held by 10 WorldCat member libraries worldwide
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Audience Level
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Related Identities
 Rallis, Stephen 1942 Author
 Gelbart, Stephen S. 1946 Author Editor
 Gelʹfand, I. M. (Izrailʹ Moiseevich) Author
 Graev, M. I. (Mark Iosifovich)
 Cogdell, James W. 1953 Author Editor
 Ginzburg, D. (David) Author
 Sarnak, Peter Other Editor
 Shahidi, Freydoon Editor
 Soudry, David 1956 Editor
 Gindikin, S. G. (Semen Grigorʹevich) Translator Editor
Useful Links
Associated Subjects
Algebra Algebraic fields Algebraic functions Algebraic varieties Automorphic forms Automorphic functions Complex manifolds Cusp forms (Mathematics) Finite fields (Algebra) Forms (Mathematics) Functional analysis Functions, Zeta Functions of several complex variables Generalized spaces Geometry Group actions (Mathematics) Group theory Hamiltonian systems Harmonic analysis 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)
Covers
Alternative Names
Chapiro I. I. Piatetskiĭ 19292009
Chapiro I. I. Piatetsky 19292009
Iliá PiatetskiShapiro
Iliá PiatetskiShapiro matemático ruso
Ilija PjateckiŠapiro
Iľja Iosifovič PiateckijŠapiro
Ilja PjatěckijŠapiro
Il'ja PjateckijŠapiro matematico russo
Ilja PjatetskijShapiro
Ilja PjatetskijShapiro sowjetischisraelischer Mathematiker
Ilja PjatetskijSjapiro israelsk matematikar
Ilja PjatetskijSjapiro israelsk matematiker
Ilya PiatetskiShapiro
Ilya PiatetskiShapiro Israeli mathematician
Ilya PiatetskiShapiro matemàtic rus
Ilya PiatetskiShapiro matematico russo
Ilya PiatetskiShapiro mathématicien russe
Ilya PiatetskiShapiro Russian mathematician
Ilya PiatetskiShapiro wiskundige uit Israël (19292009)
PâteckijŠapiro, Èliâhu 19292009
PâteckijŠapiro, I. I.
PâteckijŠapiro, Ilʹâ Iosifovič
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, Ilia
PiatetskiShapiro, Ilia Iosifovich
PiatetskiShapiro, Ilja Iosofovitch 19292009
PiatetskiShapiro, Ilya
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, I. I. (Il'ia Iosifovich), 1929
PiatetskiiShapiro, Ilʹia I. 19292009
Pi͡atet͡skiĭShapiro, Ilʹi͡a Iosifovich
Pi︠a︡tet︠s︡kiĭShapiro, Ilʹi︠a︡ Iosifovich 19292009
PiatetskiiShapiro, Ilya Iosifovich 19292009
PiatetskyChapiro
PiatetskyChapiro, I.I.
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
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
Шапиро Илья Иосифович Пятецкий
איליה פיאטצקישפירו
איליה פיאטצקישפירו מתמטיקאי רוסי
פיאטצקישפירו איליה 19292009
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