|
Showing 1 - 4 of
4 matches in All Departments
Blaschke Products and Their Applications presents a collection of
survey articles that examine Blaschke products and several of its
applications to fields such as approximation theory, differential
equations, dynamical systems, harmonic analysis, to name a few.
Additionally, this volume illustrates the historical roots of
Blaschke products and highlights key research on this topic. For
nearly a century, Blaschke products have been researched. Their
boundary behaviour, the asymptomatic growth of various integral
means and their derivatives, their applications within several
branches of mathematics, and their membership in different function
spaces and their dynamics, are a few examples of where Blaschke
products have shown to be important. The contributions written by
experts from various fields of mathematical research will engage
graduate students and researches alike, bringing the reader to the
forefront of research in the topic. The readers will also discover
the various open problems, enabling them to better pursue their own
research.
Blaschke Products and Their Applications presents a collection
of survey articles that examine Blaschke products and several of
its applications to fields such as approximation theory,
differential equations, dynamical systems, harmonic analysis, to
name a few. Additionally, this volume illustrates the historical
roots of Blaschke products and highlights key research on this
topic. For nearly a century, Blaschke products have been
researched. Their boundary behaviour, the asymptomatic growth of
various integral means and their derivatives, their applications
within several branches of mathematics, and their membership in
different function spaces and their dynamics, are a few examples of
where Blaschke products have shown to be important. The
contributions written by experts from various fields of
mathematical research will engage graduate students and researches
alike, bringing the reader to the forefront of research in the
topic. The readers will also discover the various open problems,
enabling them to better pursue their own research."
An H(b) space is defined as a collection of analytic functions that
are in the image of an operator. The theory of H(b) spaces bridges
two classical subjects, complex analysis and operator theory, which
makes it both appealing and demanding. Volume 1 of this
comprehensive treatment is devoted to the preliminary subjects
required to understand the foundation of H(b) spaces, such as Hardy
spaces, Fourier analysis, integral representation theorems,
Carleson measures, Toeplitz and Hankel operators, various types of
shift operators and Clark measures. Volume 2 focuses on the central
theory. Both books are accessible to graduate students as well as
researchers: each volume contains numerous exercises and hints, and
figures are included throughout to illustrate the theory. Together,
these two volumes provide everything the reader needs to understand
and appreciate this beautiful branch of mathematics.
An H(b) space is defined as a collection of analytic functions
which are in the image of an operator. The theory of H(b) spaces
bridges two classical subjects: complex analysis and operator
theory, which makes it both appealing and demanding. The first
volume of this comprehensive treatment is devoted to the
preliminary subjects required to understand the foundation of H(b)
spaces, such as Hardy spaces, Fourier analysis, integral
representation theorems, Carleson measures, Toeplitz and Hankel
operators, various types of shift operators, and Clark measures.
The second volume focuses on the central theory. Both books are
accessible to graduate students as well as researchers: each volume
contains numerous exercises and hints, and figures are included
throughout to illustrate the theory. Together, these two volumes
provide everything the reader needs to understand and appreciate
this beautiful branch of mathematics.
|
|