Hardy Classes by Marvin Rosenblum (PDF)

Description

Concise treatment focuses on theory of shift operators, Toeplitz operators and Hardy classes of vector- and operator-valued functions. Topics include general theory of shift operators on a Hilbert space, use of lifting theorem to give a unified treatment of interpolation theorems of the Pick-Nevanlinna and Loewner types, more. Appendix. Bibliography. 1985 edition.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐There are a few books within a subject of mathematics whichstand out from the others, and this is one. The writing is crisp, and yet engaged. It is also the place where we look up the fundamentals in the subject;– and it is one which seems to be timeless,– one that doesn’t go out of fashion. As the fashions change, we still need to be able to refer tothe fundamental and timeless ideas, upon which the changing trends continue to rely. It is great that we have Dover toreprint such classics in math. Even among the classics, this one is special.

⭐This book is very technical in the mathematics of shift operators: even with a good understanding of Hilbert spaces and Banach theory this book will be very hard to read. If you are a PH. D. student in this specific are of math, it might be useful, otherwise it is probably a waste of money! Even if it is cheap!

⭐This book meets all my expectations

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