Fourier Analysis on Number Fields

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Focusing on a modern approach to number theory, this book integrates algebraic and analytic perspectives, particularly emphasizing harmonic analysis on topological groups. It aims to provide a comprehensive exploration of John Tate's thesis, offering detailed explanations and prerequisites often overlooked by those with a purely algebraic background. Targeted at graduate students familiar with algebra, analysis, and topology, the text serves both aspiring number theorists and those interested in harmonic analysis and representation theory of Lie groups, presenting material in a thorough and accessible manner.