Yutaka Yamamoto

From Vector Spaces to Function Spaces

Introduction to Functional Analysis with Applications

• Gebundenes Buch

Produktbeschreibung

A guide to analytic methods in applied mathematics from the perspective of functional analysis, suitable for scientists, engineers and students.

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Produktdetails

• Verlag: Society for Industrial and Applied Mathematics (SIAM)
• Seitenzahl: 260
• Erscheinungstermin: 4. Oktober 2012
• Englisch
• Abmessung: 261mm x 182mm x 25mm
• Gewicht: 765g
• ISBN-13: 9781611972306
• ISBN-10: 1611972302
• Artikelnr.: 36685067

Autorenporträt

Yutaka Yamamoto is a professor at the department of Applied Analysis and Complex Dynamical Systems, Graduate School of Informatics, Kyoto University, Japan. He is a recipient of the G. S. Axelby Outstanding Paper Award of the IEEE Control Systems Society, the Commendation for Science and Technology by the Minister of Education in Japan, the Distinguished Member Award of the Control Systems Society of the IEEE and various other awards. He has authored or co-authored more than 200 journal or conference papers. He is currently President-elect of the IEEE Control Systems Society and past President of ISCIE Japan. He is a fellow of the IEEE and ISCIE, Japan.

Inhaltsangabe

Preface
Glossary of symbols
1. Vector spaces revisited
2. Normed linear spaces and Banach spaces
3. Inner product and Hilbert spaces
4. Dual spaces
5. The space L(X,Y) of linear operators
6. Schwartz distributions
7. Fourier series and Fourier transform
8. Laplace transform
9. Hardy spaces
10. Applications to systems and control
Appendix A. Some background in sets, mappings, topology
Appendix B. Table of Laplace transforms
Solutions
Bibliographical notes
Bibliography
Index.