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Monotone Matrix Functions and Analytic Continuation (Grundlehren der
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Monotone Matrix Functions and Analytic Continuation (Grundlehren der mathematischen Wissenschaften) Paperback - 2011

by W.F.JR. DONOGHUE


From the publisher

A Pick function is a function that is analytic in the upper half-plane with positive imaginary part. In the first part of this book we try to give a readable account of this class of functions as well as one of the standard proofs of the spectral theorem based on properties of this class. In the remainder of the book we treat a closely related topic: Loewner's theory of monotone matrix functions and his analytic continuation theorem which guarantees that a real function on an interval of the real axis which is a monotone matrix function of arbitrarily high order is the restriction to that interval of a Pick function. In recent years this theorem has been complemented by the Loewner-FitzGerald theorem, giving necessary and sufficient conditions that the continuation provided by Loewner's theorem be univalent. In order that our presentation should be as complete and trans- parent as possible, we have adjoined short chapters containing the in- formation about reproducing kernels, almost positive matrices and certain classes of conformal mappings needed for our proofs.

Details

  • Title Monotone Matrix Functions and Analytic Continuation (Grundlehren der mathematischen Wissenschaften)
  • Author W.F.JR. DONOGHUE
  • Binding Paperback
  • Edition Softcover reprin
  • Language ENG
  • Publisher Springer
  • Date 2011-12
  • ISBN 9783642657573
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Monotone Matrix Functions and Analytic Continuation (Grundlehren Der Mathematischen Wissenschaften)
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Monotone Matrix Functions and Analytic Continuation (Grundlehren Der Mathematischen Wissenschaften)

by W. F. , Jr. Donoghue

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9783642657573
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Springer Berlin Heidelberg, 2011. Paperback. New. reprint edition. 194 pages. 8.90x5.90x0.50 inches.
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£57.33
£10.00 shipping to USA
Monotone Matrix Functions and Analytic Continuation
Stock Photo: Cover May Be Different

Monotone Matrix Functions and Analytic Continuation

by W. F. Donoghue

  • New
  • Paperback
Condition
New
Binding
Paperback
ISBN 13
9783642657573
ISBN 10
3642657575
Quantity Available
10
Seller
Southport, Merseyside, United Kingdom
Seller rating:
This seller has earned a 5 of 5 Stars rating from Biblio customers.
Item Price
£58.80
£9.95 shipping to USA

Show Details

Description:
Paperback / softback. New. In the remainder of the book we treat a closely related topic: Loewner's theory of monotone matrix functions and his analytic continuation theorem which guarantees that a real function on an interval of the real axis which is a monotone matrix function of arbitrarily high order is the restriction to that interval of a Pick function.
Item Price
£58.80
£9.95 shipping to USA