Presents an easily-accessible discussion of analytical methods of applied mathematics from vector spaces to distributions, Fourier analysis, and Hardy spaces with applications to system theory; and an introduction to modern functional analytic methods to better familiarize readers with basic methods and mathematical thinking.
Presents an easily-accessible discussion of analytical methods of applied mathematics from vector spaces to distributions, Fourier analysis, and Hardy spaces with applications to system theory; and an introduction to modern functional analytic methods to better familiarize readers with basic methods and mathematical thinking.Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
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
1. Preface 2. Glossary of Symbols 3. Chapter 1: Vector Spaces Revisited 4. Chapter 2: Normed Linear Spaces and Banach Spaces 5. Chapter 3: Inner Product and Hilbert Spaces 6. Chapter 4: Dual Spaces 7. Chapter 5: The Space L(X,Y) of Linear Operators 8. Chapter 6: Schwartz Distributions 9. Chapter 7: Fourier Series and Fourier Transform 10. Chapter 8: Laplace Transform 11. Chapter 9: Hardy Spaces 12. Chapter 10: Applications to Systems and Control 13. Appendix A: Some Background in Sets, Mappings, Topology 14. Appendix B: Table of Laplace Transforms 15. Solutions 16. Bibliographical Notes 17. Bibliography 18. Index.
