Locally convex spaces and harmonic analysis : an introduction with 93 problems

Author / Creator

Ciarlet, Philippe G., author

Available as

Online

Summary

This self-contained textbook covers the fundamentals of two basic topics of linear functional analysis: locally convex spaces and harmonic analysis. Readers will find detailed introductions to topo...

This self-contained textbook covers the fundamentals of two basic topics of linear functional analysis: locally convex spaces and harmonic analysis. Readers will find detailed introductions to topological vector spaces, distribution theory, weak topologies, the Fourier transform, the Hilbert transform, and Calderón-Zygmund singular integrals. Locally Convex Spaces and Harmonic Analysis: An Introduction is an ideal introduction to more advanced texts; complements Ciarlet's Linear and Nonlinear Functional Analysis with Applications (SIAM), in which these two topics were not treated; and includes pedagogical features such as detailed proofs and 93 problems that make the book ideal for a one-semester first-year graduate course or for self-study. The book is intended for advanced undergraduates and first-year graduate students and researchers. It is appropriate for courses on functional analysis, distribution theory, Fourier transform, and harmonic analysis.

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