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目次情報: 続きを見る

Non-Euclidean harmonics / 1：

Trace formulas / 2：

Automorphic L-functions / 3：

An explicit formula / 4：

Asymptotics / 5：

References

Index

Non-Euclidean harmonics / 1：

Trace formulas / 2：

Automorphic L-functions / 3：

目次情報: 続きを見る

Basic Material On SL2(R), Discrete Subgroups and the Upper-Half Plane / Part I：

Prerequisites and notation / 1：

Review of SL2(R), differential operators, convolution / 2：

Action of G on X, discrete subgroups of G, fundamental domains / 3：

The unit disc model / 4：

Automorphic Forms and Cusp Forms / Part II：

Growth conditions, automorphic forms / 5：

Poincare series / 6：

Constant term:the fundamental estimate / 7：

Finite dimensionality of the space of automorphic forms of a given type / 8：

Convolution operators on cuspidal functions / 9：

Eisenstein Series / Part III：

Definition and convergence of Eisenstein series / 10：

Analytic continuation of the Eisenstein series / 11：

Eisenstein series and automorphic forms orthogonal to cusp forms / 12：

Spectral Decomposition and Representations / Part IV：

Spectral decomposition of L2(G G)m with respect to C / 13：

Generalities on representations of G / 14：

Representations of SL2(R) / 15：

Spectral decomposition of L2(G SL2(R)):the discrete spectrum / 16：

Spectral decomposition of L2(G SL2(R)): the continuous spectrum / 17：

Concluding remarks / 18：

Basic Material On SL2(R), Discrete Subgroups and the Upper-Half Plane / Part I：

Prerequisites and notation / 1：

Review of SL2(R), differential operators, convolution / 2：