Fourier Series, Fourier Transforms, and Function Spaces

Tim Hsu

ISBN 10: 1470476002 / ISBN 13: 9781470476007

Published by American Mathematical Society, 2023

About this Item

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Bibliographic Details

• Title: Fourier Series, Fourier Transforms, and Function Spaces
• Publisher: American Mathematical Society
• Publication Date: 2023
• Language: English
• ISBN 10: 1470476002
• ISBN 13: 9781470476007
• Binding: paperback
• Condition: New
• Book Type: book

About this title

Synopsis

Fourier Series, Fourier Transforms, and Function Spaces is designed as a textbook for a second course or capstone course in analysis for advanced undergraduate or beginning graduate students. By assuming the existence and properties of the Lebesgue integral, this book makes it possible for students who have previously taken only one course in real analysis to learn Fourier analysis in terms of Hilbert spaces, allowing for both a deeper and more elegant approach. This approach also allows junior and senior undergraduates to study topics like PDEs, quantum mechanics, and signal processing in a rigorous manner. Students interested in statistics (time series), machine learning (kernel methods), mathematical physics (quantum mechanics), or electrical engineering (signal processing) will find this book useful. With 400 problems, many of which guide readers in developing key theoretical concepts themselves, this text can also be adapted to self-study or an inquiry-based approach. Finally, of course, this text can also serve as motivation and preparation for students going on to further study in analysis.

About the Author

Tim Hsu, San José State University, CA