Pi︠a︡tet︠s︡kiĭShapiro, I. I. (Ilʹi︠a︡ Iosifovich) 19292009Overview
Publication Timeline
Most widely held works about
I. I Pi︠a︡tet︠s︡kiĭShapiro
Most widely held works by
I. I Pi︠a︡tet︠s︡kiĭShapiro
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 Lfunctions
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 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
Automorphic functions and the geometry of classical domains
by I. I Pi︠a︡tet︠s︡kiĭShapiro
(
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 Pi︠a︡tet︠s︡kiĭShapiro
(
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 Pi︠a︡tet︠s︡kiĭShapiro
(
Book
)
8 editions published in 1966 in French and English and held by 191 WorldCat member libraries worldwide
Selected works of Ilya PiatetskiShapiro
by I. I Pi︠a︡tet︠s︡kiĭShapiro
(
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. PiatetskiShapiro 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 Pi︠a︡tet︠s︡kiĭShapiro
(
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 LFunctions
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 Pi︠a︡tet︠s︡kiĭShapiro
(
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 Pi︠a︡tet︠s︡kiĭShapiro
(
Book
)
2 editions published in 1983 in English and held by 15 WorldCat member libraries worldwide
Festschrift in honor of I.I. PiatetskiShapiro 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. PiatetskiShapiro 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 more
fewer
Audience Level
Related Identities
Associated Subjects
Algebraic fields Algebraic functions Automorphic forms Automorphic functions Complex manifolds Cusp forms (Mathematics) Finite fields (Algebra) Forms (Mathematics) Functions, Zeta Generalized spaces Geometry Group actions (Mathematics) Group theory Hamiltonian systems Integrals Invariants 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)

Alternative Names
Chapiro I. I. Piatetskiĭ 19292009
Chapiro I. I. Piatetsky 19292009
PâteckijŠapiro Èliâhu 19292009
PâteckijŠapiro, I. I.
PâteckijŠapiro Ilʹâ Iosifovič 19292009
PâteckijŠapiro, Il'â Josifovič.
PiatestskiShapiro Ilya 19292009
PiatetskiShapiro, I., 19292009
PiatetskiShapiro, I. I.
PiatetskiShapiro, Il'ia Iosifovich
PiatetskiShapiro, Ilya, 19292009
Piatetskiĭ Chapiro Ilia Iosifovitch 19292009
PiatetskiiShapiro, I. I., 1929
PiatetskiiShapiro, Ilʹia I. 19292009
PiatetskiiShapiro, Il'ia Iosifovich.
Pi︠a︡tet︠s︡kiĭShapiro, Ilʹi︠a︡ Iosifovich, 19292009
PiatetskyChapiro, I. I., 19292009
PjateckijŠapiro, I. I. 19292009
PjateckijŠapiro, Il'ja Iosifovič
PjateckijŠapiro, Ilʹja Iosifovič 19292009 Vollstaendiger Name
PyaʾṭeṣqiyŠapiyrw ʾIylyah 19292009
PyatetskiiShapiro, I. I., 1929
PyatetskiiShapiro, I.I., 19292009
PyatetskiiShapiro Ilia Iosifovich 19292009
PyatetskyChapiro, I. I.
Šapiro, I.I., 19292009
Šapiro, Ilʹja I. Pjateckij 19292009
Shapiro, I. I. Pi︠a︡tet︠s︡kiĭ (Ilʹi︠a︡ Iosifovich Pi︠a︡tet︠s︡kiĭ), 19292009
Shapiro, I. I. Pyatetskii 19292009
Shapiro, Ilʹia I. Piatetskii 19292009
Shapiro, Ilia Iosifovich Pyatetskii
Shapiro Ilia Iosifovich Pyatetskii 19292009
Shapiro, Ilya Piatetski.
Shapiro, Ilya Piatetski, 1929
Shapiro, Ilya Piatetski 19292009
Shapiro Ilya Piatetsky 19292009
Shapiro Ilya Pyatetskii 19292009
ПятецкийШапиро Илья Иосифович 19292009
ПятецкийШапиро Элияху 19292009
פיאטצקישפירו איליה 19292009
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