From Vector Spaces to Functional Spaces

Author: Yutaka Yamamoto

Publisher: Universities Press


1 Vector Spaces Revisited

2 Normed Linear Spaces and Banach Spaces

3 Inner Product and Hilbert Spaces

4 Dual

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 on Sets, Mappings, and Topology

Appendix B Table of Laplace Transforms

C Solutions

D Bibliographical Notes



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