How Long to Read Quaternionic de Branges Spaces and Characteristic Operator Function

How Long Does it Take to Read Quaternionic de Branges Spaces and Characteristic Operator Function?

It takes the average reader 2 hours and 1 minute to read Quaternionic de Branges Spaces and Characteristic Operator Function by Daniel Alpay

Assuming a reading speed of 250 words per minute. Learn more

Description

This work contributes to the study of quaternionic linear operators. This study is a generalization of the complex case, but the noncommutative setting of quaternions shows several interesting new features, see e.g. the so-called S-spectrum and S-resolvent operators. In this work, we study de Branges spaces, namely the quaternionic counterparts of spaces of analytic functions (in a suitable sense) with some specific reproducing kernels, in the unit ball of quaternions or in the half space of quaternions with positive real parts. The spaces under consideration will be Hilbert or Pontryagin or Krein spaces. These spaces are closely related to operator models that are also discussed. The focus of this book is the notion of characteristic operator function of a bounded linear operator A with finite real part, and we address several questions like the study of J-contractive functions, where J is self-adjoint and unitary, and we also treat the inverse problem, namely to characterize which J-contractive functions are characteristic operator functions of an operator. In particular, we prove the counterpart of Potapov's factorization theorem in this framework. Besides other topics, we consider canonical differential equations in the setting of slice hyperholomorphic functions and we define the lossless inverse scattering problem. We also consider the inverse scattering problem associated with canonical differential equations. These equations provide a convenient unifying framework to discuss a number of questions pertaining, for example, to inverse scattering, non-linear partial differential equations and are studied in the last section of this book.

How long is Quaternionic de Branges Spaces and Characteristic Operator Function?

Quaternionic de Branges Spaces and Characteristic Operator Function by Daniel Alpay is 121 pages long, and a total of 30,371 words.

This makes it 41% the length of the average book. It also has 37% more words than the average book.

How Long Does it Take to Read Quaternionic de Branges Spaces and Characteristic Operator Function Aloud?

The average oral reading speed is 183 words per minute. This means it takes 2 hours and 45 minutes to read Quaternionic de Branges Spaces and Characteristic Operator Function aloud.

What Reading Level is Quaternionic de Branges Spaces and Characteristic Operator Function?

Quaternionic de Branges Spaces and Characteristic Operator Function is suitable for students ages 10 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.

Where Can I Buy Quaternionic de Branges Spaces and Characteristic Operator Function?

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