It takes the average reader 3 hours and 53 minutes to read Schur Functions, Operator Colligations, and Reproducing Kernel Pontryagin Spaces by Daniel Alpay
Assuming a reading speed of 250 words per minute. Learn more
Generalized Schur functions are scalar- or operator-valued holomorphic functions such that certain associated kernels have a finite number of negative squares. This book develops the realization theory of such functions as characteristic functions of coisometric, isometric, and unitary colligations whose state spaces are reproducing kernel Pontryagin spaces. This provides a modern system theory setting for the relationship between invariant subspaces and factorization, operator models, Krein-Langer factorizations, and other topics. The book is intended for students and researchers in mathematics and engineering. An introductory chapter supplies background material, including reproducing kernel Pontryagin spaces, complementary spaces in the sense of de Branges, and a key result on defining operators as closures of linear relations. The presentation is self-contained and streamlined so that the indefinite case is handled completely parallel to the definite case.
Schur Functions, Operator Colligations, and Reproducing Kernel Pontryagin Spaces by Daniel Alpay is 232 pages long, and a total of 58,464 words.
This makes it 78% the length of the average book. It also has 71% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 5 hours and 19 minutes to read Schur Functions, Operator Colligations, and Reproducing Kernel Pontryagin Spaces aloud.
Schur Functions, Operator Colligations, and Reproducing Kernel Pontryagin Spaces is suitable for students ages 12 and up.
Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.
When deciding what to show young students always use your best judgement and consult a professional.
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