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Moeglin C., Waldspurger J.L. — Spectral Decomposition and Eisenstein Series: A Paraphrase of the Scriptures
Moeglin C., Waldspurger J.L. — Spectral Decomposition and Eisenstein Series: A Paraphrase of the Scriptures

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Название: Spectral Decomposition and Eisenstein Series: A Paraphrase of the Scriptures

Авторы: Moeglin C., Waldspurger J.L.


The decomposition of the space L2 (G(Q)\G(A)), where G is a reductive group defined over Q and A is the ring of adeles of Q, is a deep problem at the intersection of number and group theory. Langlands reduced this decomposition to that of the (smaller) spaces of cuspidal automorphic forms for certain subgroups of G. This book describes this proof in detail. The starting point is the theory of automorphic forms, which can also serve as a first step toward understanding the Arthur-Selberg trace formula. To make the book reasonably self-contained, the authors also provide essential background in subjects such as: automorphic forms; Eisenstein series; Eisenstein pseudo-series, and their properties. It is thus also an introduction, suitable for graduate students, to the theory of automorphic forms, the first written using contemporary terminology.

Язык: en

Рубрика: Физика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1995

Количество страниц: 338

Добавлена в каталог: 28.03.2010

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Предметный указатель
'Central character'      26
'Height'      20
'Standard Levi subgroup'      4
Adjoint transformations      111
Affine subspace      169
Auto-adjoint transformations      111
Automorphic forms      37
Automorphic subrepresentation      78
Bernstein centre      37
Characters      7
Closed transformations      111
Compact operators      143
Constant terms      27
Coroots      10 16
Cuspidal automorphic forms      39
Cuspidal components      45
Cuspidal data for functions      44
Cuspidal datum (of a representation)      80
Cuspidal exponents      45
Cuspidal representations      80
Cuspidal support      48
Derivatives of Eisenstein series      278
Discrete parameter      233 263
Eisenstein series      85
Elementary symmetry      13
Equivalence of cuspidal data      100 128
Equivalent representation      79
Exponential polynomial functions      51
Fourier transforms      81
Holomorphic function      66
Intertwining operators      87
Levi standard subgroup      315
Levi subgroups      315
Meromorphic function      67
Moderate growth, functions with      24
Origin, o(S)      181
Paley — Wiener function      80
Paley — Wiener functions      80
Point of continuity      114
Polynomial singularities      173
Pre-adjoint transformations      111
Pseudo-Eisenstein series      95
Rapidly decreasing functions      34
Rational characters      5
Residue data      173
Residue theorem      176
Root hyperplane      138
Roots      10
Siegel domains      18
Singular class attached to $\delta$      258
Singularities are without multiplicity      138
Singularities carried by a root hyperplane      138
Smooth function      26
Spectrum      114
Standard parabolic subgroup      315
T-F-general path      176
T-F-general point      181
Transformation      26
Vector part      170
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