Fundamentals of Fourier Analysis

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Designed for graduate students with a foundation in Real Analysis and Complex Variables, this text offers a comprehensive introduction to Euclidean Fourier Analysis. It is structured to support a two-course sequence, featuring detailed proofs and a variety of exercises with helpful hints to foster research skills. Illustrations enhance understanding, while appendices provide essential background material for review. The book emphasizes clarity and pedagogical effectiveness, making it a valuable resource for advanced study in Fourier and Harmonic Analysis.