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4. 1 Bergman-Toeplitz Operators Over Bounded Domains 242 4. 2
Hardy-Toeplitz Operators Over Strictly Domains Pseudoconvex 250
Groupoid C* -Algebras 4. 3 256 4. 4 Hardy-Toeplitz Operators Over
Tubular Domains 267 4. 5 Bergman-Toeplitz Operators Over Tubular
Domains 278 4. 6 Hardy-Toeplitz Operators Over Polycircular Domains
284 4. 7 Bergman-Toeplitz Operators Over Polycircular Domains 290
4. 8 Hopf C* -Algebras 299 4. 9 Actions and Coactions on C*... more...

The development of dynamics theory began with the work of Isaac
Newton. In his theory the most basic law of classical mechanics is
f = ma, which describes the motion n in IR. of a point of mass m
under the action of a force f by giving the acceleration a. If n
the position of the point is taken to be a point x E IR. , and if
the force f is supposed to be a function of x only, Newton's Law is
a description in terms of a second-order ordinary... more...

This substantially enlarged second edition aims to lead a further
stage in the computational revolution in commutative algebra.
This is the first handbook/tutorial to extensively deal with
SINGULAR. Among the book’s most distinctive features is a new,
completely unified treatment of the global and local theories.
Another feature of the book is its breadth of coverage of
theoretical topics in the portions of commutative algebra closest... more...

This classic work (first published in 1947), in three volumes,
provides a lucid and rigorous account of the foundations of modern
algebraic geometry. The authors have confined themselves to
fundamental concepts and geometrical methods, and do not give
detailed developments of geometrical properties but geometrical
meaning has been emphasized throughout. This first volume is
divided into two parts. The first is devoted to pure algebra: the
basic... more...

In July 2004, a conference on graph theory was held in Paris in
memory of Claude Berge, one of the pioneers of the field. The
event brought together many prominent specialists on topics such
as perfect graphs and matching theory, upon which Claude Berge's
work has had a major impact. This volume includes contributions
to these and other topics from many of the participants.

Distance metrics and distances have become an essential tool in
many areas of pure and applied Mathematics, and this encyclopedia
is the first one to treat the subject in full. The book appears
just as research intensifies into metric spaces and especially,
distance design for applications. These distances are particularly
crucial, for example, in computational biology, image analysis,
speech recognition, and information retrieval. Here, an assessment... more...

This is an introduction to noncommutative geometry, with special
emphasis on those cases where the structure algebra, which defines
the geometry, is an algebra of matrices over the complex numbers.
Applications to elementary particle physics are also discussed.
This second edition is thoroughly revised and includes new material
on reality conditions and linear connections plus examples from
Jordanian deformations and quantum Euclidean spaces. Only... more...

Nolan Wallach's mathematical research is remarkable in both its
breadth and depth. His contributions to many fields include
representation theory, harmonic analysis, algebraic geometry,
combinatorics, number theory, differential equations, Riemannian
geometry, ring theory, and quantum information theory. The
touchstone and unifying thread running through all his work is the
idea of symmetry. This volume is a collection of invited articles
that... more...

This volume collects the texts of five courses given in the
Arithmetic Geometry Research Programme 2009-2010 at the CRM
Barcelona. All of them deal with characteristic p global fields;
the common theme around which they are centered is the arithmetic
of L-functions (and other special functions), investigated in
various aspects. Three courses examine some of the most important
recent ideas in the positive characteristic theory discovered by
Goss (a... more...

Doing Mathematics discusses some ways mathematicians and
mathematical physicists do their work and the subject matters they
uncover and fashion. The conventions they adopt, the subject areas
they delimit, what they can prove and calculate about the physical
world, and the analogies they discover and employ, all depend on
the mathematics — what will work out and what won't. The cases
studied include the central limit theorem of statistics, the sound... more...