ASPECTS HARMONIC ANALYSIS ON LOCALLY COMPACT ABELIAN GROUPS (Mathematical Foundations For Computer Vision, Machine Learning, And Robotics, Band 1) - Hardcover

Gallier Jean

Hardcover

ISBN 10: 9811291713 ISBN 13: 9789811291715

Verlag: World Scientific, 2024

Inhaltsangabe

The Fourier transform is a "tool" used in engineering and computer vision to model periodic phenomena. Starting with the basics of measure theory and integration, this book delves into the harmonic analysis of locally compact abelian groups. It provides an in-depth tour of the beautiful theory of the Fourier transform based on the results of Gelfand, Pontrjagin, and Andre Weil in a manner accessible to an undergraduate student who has taken linear algebra and introductory real analysis. Highlights of this book include the Bochner integral, the Haar measure, Radon functionals, the theory of Fourier analysis on the circle, and the theory of the discrete Fourier transform. After studying this book, the reader will have the preparation necessary for understanding the Peter-Weyl theorems for complete, separable Hilbert algebras, a key theoretical concept used in the construction of Gelfand pairs and equivariant convolutional neural networks.

Details zur Ausgabe

• Verlag: World Scientific
• Erscheinungsdatum: 2024
• Sprache: Englisch
• ISBN 10: 9811291713
• ISBN 13: 9789811291715
• Einband: Gebundene Ausgabe
• Anzahl der Seiten: 760
• Kontakt zum Hersteller: preigu GmbH & Co. KG; mail@preigu.de; ; Lengericher Landstr. 19; Osnabrück; Niedersachsen; 49078; Deutschland