Theory of Reproducing Kernels and Its Applications: 189 (Pitman Research Notes in Mathematics Series) - Softcover

Saitoh, S.

Softcover

ISBN 10: 0582035643 ISBN 13: 9780582035645

Publisher: Longman Higher Education, 1988

Synopsis

These notes are based on a series of lectures given at Hokkaido University, Japan in 1986, and their purpose is to introduce the theory of reproducing kernels from the viewpoint of hard analysis and soft analysis. The main argument of the notes is that both types of analysis should be combined. Soft analysis means the general theory of reproducing kernels established by Nachman Aronszajn, while hard analysis means the theories of complex analysis of one variable developed by Stefan Bergman, Menahem Schiffer, Paul R.Garabedian, Zeev Nehari, Dennis A.Hejhal and many others. The author expounds his general ideas in detail, but does not give all the proofs of theorems. For the sake of brevity, only the essence of each theorem has been mentioned.

Edition details

• Publisher: Longman Higher Education
• Publication date: 1988
• Language: English
• ISBN 10: 0582035643
• ISBN 13: 9780582035645
• Binding: Paperback
• Number of pages: 176