Fourier analysis on number fields

✍ Scribed by Ramakrishnan, Dinakar

Publisher: Springer-Verlag New York
Year: 2013
Tongue: English
Leaves: 372
Category: Library

No coin nor oath required. For personal study only.

✦ Table of Contents

1 Topological Groups.- 2 Some Representation Theory.- 3 Duality for Locally Compact Abelian Groups.- 4 The Structure of Arithmetic Fields.- 5 Adeles, Ideles, and the Class Groups.- 6 A Quick Tour of Class Field Theory.- 7 Tate's Thesis and Applications.- Appendices.- Appendix A: Normed Linear Spaces.- A.1 Finite-Dimensional Normed Linear Spaces.- A.2 The Weak Topology.- A.3 The Weak-Star Topology.- Appendix B: Dedekind Domains.- B.1 Basic Properties.- B.2 Extensions of Dedekind Domains.- References.

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