Basic Almost-Poised Hypergeometric Series

Basic Almost-Poised Hypergeometric Series PDF Author: Wenchang Chu
Publisher: American Mathematical Soc.
ISBN: 9780821808115
Category : Mathematics
Languages : en
Pages : 116

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Book Description
Presents a systematic treatment for the evaluation of basic almost poised series. Some 200 identities are covered, among which most are believed to be new. Their connections with the q-Clausen formulae as well as Rogers-Ramanujan identities are sketched. No index. Annotation copyrighted by Book News, Inc., Portland, OR

Basic Hypergeometric Series

Basic Hypergeometric Series PDF Author: George Gasper
Publisher:
ISBN: 0511889186
Category : Mathematics
Languages : en
Pages : 456

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Book Description
Significant revision of classic reference in special functions.

Inverses of Disjointness Preserving Operators

Inverses of Disjointness Preserving Operators PDF Author: Yuri A. Abramovich
Publisher: American Mathematical Soc.
ISBN: 0821813978
Category : Mathematics
Languages : en
Pages : 178

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Book Description
This book is intended for graduate students and research mathematicians interested in operator theory, functional analysis, and vector lattices

Continuous Tensor Products and Arveson's Spectral $C^*$-Algebras

Continuous Tensor Products and Arveson's Spectral $C^*$-Algebras PDF Author: Joachim Zacharias
Publisher: American Mathematical Soc.
ISBN: 0821815458
Category : Mathematics
Languages : en
Pages : 135

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Book Description
This book is intended for graduate students and research mathematicians interested in operator algebras

Inverse Invariant Theory and Steenrod Operations

Inverse Invariant Theory and Steenrod Operations PDF Author: Mara D. Neusel
Publisher: American Mathematical Soc.
ISBN: 0821820915
Category : Mathematics
Languages : en
Pages : 175

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Book Description
This book is intended for researchers and graduate students in commutative algebra, algebraic topology and invariant theory.

Splitting Theorems for Certain Equivariant Spectra

Splitting Theorems for Certain Equivariant Spectra PDF Author: L. Gaunce Lewis
Publisher: American Mathematical Soc.
ISBN: 082182046X
Category : Mathematics
Languages : en
Pages : 106

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Book Description
This book is intended for graduate students and research mathematicians interested in algebraic topology.

Sobolev Met Poincare

Sobolev Met Poincare PDF Author: Piotr Hajłasz
Publisher: American Mathematical Soc.
ISBN: 0821820478
Category : Mathematics
Languages : en
Pages : 119

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Book Description
There are several generalizations of the classical theory of Sobolev spaces as they are necessary for the applications to Carnot-Caratheodory spaces, subelliptic equations, quasiconformal mappings on Carnot groups and more general Loewner spaces, analysis on topological manifolds, potential theory on infinite graphs, analysis on fractals and the theory of Dirichlet forms. The aim of this paper is to present a unified approach to the theory of Sobolev spaces that covers applications to many of those areas. The variety of different areas of applications forces a very general setting. We are given a metric space $X$ equipped with a doubling measure $\mu$. A generalization of a Sobolev function and its gradient is a pair $u\in L^{1}_{\rm loc}(X)$, $0\leq g\in L^{p}(X)$ such that for every ball $B\subset X$ the Poincare-type inequality $ \intbar_{B} u-u_{B} \, d\mu \leq C r ( \intbar_{\sigma B} g^{p}\, d\mu)^{1/p}\,$ holds, where $r$ is the radius of $B$ and $\sigma\geq 1$, $C>0$ are fixed constants. Working in the above setting we show that basically all relevant results from the classical theory have their counterparts in our general setting. These include Sobolev-Poincare type embeddings, Rellich-Kondrachov compact embedding theorem, and even a version of the Sobolev embedding theorem on spheres. The second part of the paper is devoted to examples and applications in the above mentioned areas.

Control and Relaxation over the Circle

Control and Relaxation over the Circle PDF Author: Bruce Hughes
Publisher: American Mathematical Soc.
ISBN: 0821820699
Category : Mathematics
Languages : en
Pages : 113

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Book Description
This work formulates and proves a geometric version of the fundamental theorem of algebraic K-theory which relates the K-theory of the Laurent polynomial extension of a ring to the K-theory of the ring. The geometric version relates the higher simple homotopy theory of the product of a finite complex and a circle with that of the complex. By using methods of controlled topology, we also obtain a geometric version of the fundamental theorem of lower algebraic K-theory. The main new innovation is a geometrically defined nil space.

Well-Posedness of the Cauchy Problem for $n \times n$ Systems of Conservation Laws

Well-Posedness of the Cauchy Problem for $n \times n$ Systems of Conservation Laws PDF Author: Alberto Bressan
Publisher: American Mathematical Soc.
ISBN: 0821820664
Category : Mathematics
Languages : en
Pages : 149

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Book Description
This book is intended for graduate students and researchers interested in the mathematical physics and PDE.

Rank 3 Amalgams

Rank 3 Amalgams PDF Author: Bernd Stellmacher
Publisher: American Mathematical Soc.
ISBN: 0821808702
Category : Mathematics
Languages : en
Pages : 138

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Book Description
This book is intended for graduate students and research mathematicians working in classical linear algebraic