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.

• PrefaceGlossary of SymbolsChapter 1: Vector Spaces RevisitedChapter 2: Normed Linear Spaces and Banach SpacesChapter 3: Inner Product and Hilbert SpacesChapter 4: Dual SpacesChapter 5: The Space L(X,Y) of Linear OperatorsChapter 6: Schwartz DistributionsChapter 7: Fourier Series and Fourier TransformChapter 8: Laplace TransformChapter 9: Hardy SpacesChapter 10: Applications to Systems and ControlAppendix A: Some Background in Sets, Mappings, TopologyAppendix B: Table of Laplace TransformsSolutionsBibliographical NotesBibliographyIndex.

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.

• PrefaceGlossary of SymbolsChapter 1: Vector Spaces RevisitedChapter 2: Normed Linear Spaces and Banach SpacesChapter 3: Inner Product and Hilbert SpacesChapter 4: Dual SpacesChapter 5: The Space L(X,Y) of Linear OperatorsChapter 6: Schwartz DistributionsChapter 7: Fourier Series and Fourier TransformChapter 8: Laplace TransformChapter 9: Hardy SpacesChapter 10: Applications to Systems and ControlAppendix A: Some Background in Sets, Mappings, TopologyAppendix B: Table of Laplace TransformsSolutionsBibliographical NotesBibliographyIndex.