Principal Currents For A Pair Of Unitary Operators
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Principal Currents For A Pair Of Unitary Operators
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Author : Joel D. Pincus
language : en
Publisher: American Mathematical Soc.
Release Date : 1994
Principal Currents For A Pair Of Unitary Operators written by Joel D. Pincus and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Mathematics categories.
The study of interrelationships between rectifiable currents associated to n-tuples of operators with commutators or multicommutators satisfying trace class conditions is the exploration of a non commutative spectral theory in which there is still a significant degree of localization at points in the current support - viewed as a non commutative spectrum. This memoir is a systematic development of the theory of principal functions in this the noncommutative case, and it generalizes extensive previous work of R. Carey and Pincus.
Factorizing The Classical Inequalities
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Author : Grahame Bennett
language : en
Publisher: American Mathematical Soc.
Release Date : 1996
Factorizing The Classical Inequalities written by Grahame Bennett and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Mathematics categories.
This memoir describes a new way of looking at the classical inequalities. The most famous such results, (those of Hilbert, Hardy, and Copson) may be interpreted as inclusion relationships, l[superscript italic]p [subset equality symbol] [italic capital]Y, between certain (Banach) sequence spaces, the norm of the injection being the best constant of the particular inequality. The inequalities of Hilbert, Hardy, and Copson all share the same space [italic capital]Y. That space -- alias [italic]ces([italic]p) -- is central to many celebrated inequalities, and thus is studied here in considerable detail.
Iterating The Cobar Construction
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Author : Justin R. Smith
language : en
Publisher: American Mathematical Soc.
Release Date : 1994
Iterating The Cobar Construction written by Justin R. Smith and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Mathematics categories.
This paper develops a new invariant of a CW-complex called the m-structure and uses it to perform homotopy-theoretic computations. The m-structure of a space encapsulates the coproduct structure, as well as higher-coproduct structures that determine Steenrod-operations. Given an m-structure on the chain complex of a reduced simplicial complex of a pointed simply-connected space, one can equip the cobar construction of this chain-complex with a natural m-structure. This result allows one to form iterated cobar constructions that are shown to be homotopy equivalent to iterated loop-spaces.
Algebraic And Analytic Geometry Of Fans
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Author : Carlos Andradas
language : en
Publisher: American Mathematical Soc.
Release Date : 1995
Algebraic And Analytic Geometry Of Fans written by Carlos Andradas and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Mathematics categories.
A set which can be defined by systems of polynomial inequalities is called semialgebraic. When such a description is possible locally around every point, by means of analytic inequalities varying with the point, the set is called semianalytic. If one single system of strict inequalities is enough, either globally or locally at every point, the set is called basic. The topic of this work is the relationship between these two notions. Namely, Andradas and Ruiz describe and characterize, both algebraically and geometrically, the obstructions for a basic semianalytic set to be basic semialgebraic. Then they describe a special family of obstructions that suffices to recognize whether or not a basic semianalytic set is basic semialgebraic. Finally, they use the preceding results to discuss the effect on basicness of birational transformations.
Random Perturbations Of Hamiltonian Systems
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Author : Mark Iosifovich Freĭdlin
language : en
Publisher: American Mathematical Soc.
Release Date : 1994
Random Perturbations Of Hamiltonian Systems written by Mark Iosifovich Freĭdlin and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Mathematics categories.
Random perturbations of Hamiltonian systems in Euclidean spaces lead to stochastic processes on graphs, and these graphs are defined by the Hamiltonian. In the case of white-noise type perturbations, the limiting process will be a diffusion process on the graph. Its characteristics are expressed through the Hamiltonian and the characteristics of the noise. Freidlin and Wentzell calculate the process on the graph under certain conditions and develop a technique which allows consideration of a number of asymptotic problems. The Dirichlet problem for corresponding elliptic equations with a small parameter are connected with boundary problems on the graph.
On Finite Groups And Homotopy Theory
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Author : Ran Levi
language : en
Publisher: American Mathematical Soc.
Release Date : 1995
On Finite Groups And Homotopy Theory written by Ran Levi and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Mathematics categories.
In part 1 we study the homology, homotopy, and stable homotopy of [capital Greek]Omega[italic capital]B[lowercase Greek]Pi[up arrowhead][over][subscript italic]p, where [italic capital]G is a finite [italic]p-perfect group. In part 2 we define the concept of resolutions by fibrations over an arbitrary family of spaces.
Christoffel Functions And Orthogonal Polynomials For Exponential Weights On 1 1
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Author : A. L. Levin
language : en
Publisher: American Mathematical Soc.
Release Date : 1994
Christoffel Functions And Orthogonal Polynomials For Exponential Weights On 1 1 written by A. L. Levin and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Mathematics categories.
Bounds for orthogonal polynomials which hold on the 'whole' interval of orthogonality are crucial to investigating mean convergence of orthogonal expansions, weighted approximation theory, and the structure of weighted spaces. This book focuses on a method of obtaining such bounds for orthogonal polynomials (and their Christoffel functions) associated with weights on [-1,1]. Also presented are uniform estimates of spacing of zeros of orthogonal polynomials and applications to weighted approximation theory.
Compact Connected Lie Transformation Groups On Spheres With Low Cohomogeneity I
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Author : Eldar Straume
language : en
Publisher: American Mathematical Soc.
Release Date : 1996
Compact Connected Lie Transformation Groups On Spheres With Low Cohomogeneity I written by Eldar Straume and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Mathematics categories.
The cohomogeneity of a transformation group ([italic capitals]G, X) is, by definition, the dimension of its orbit space, [italic]c = dim [italic capitals]X, G. By enlarging this simple numerical invariant, but suitably restricted, one gradually increases the complexity of orbit structures of transformation groups. This is a natural program for classical space forms, which traditionally constitute the first canonical family of testing spaces, due to their unique combination of topological simplicity and abundance in varieties of compact differentiable transformation groups.
Intersection Pairings On Conley Indices
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Author : Henry L. Kurland
language : en
Publisher: American Mathematical Soc.
Release Date : 1996
Intersection Pairings On Conley Indices written by Henry L. Kurland and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Mathematics categories.
This memoir is a careful and detailed study of the intersection pairing in the Conley index. The Conley index associates to an isolated invariant set of a semiflow (with some mild compactness conditions) a homotopy type of a space, constructed to be invariant under perturbations of the flow. The homology of this space is the homology Conley index. For a (two-sided) flow, each isolated invariant set has two indices defined: one for the forward flow, and one for the reverse. In general, there is no relationship between these two indices, but when the flow is on an orientable manifold, the two indices can be related by an intersection pairing. It is this pairing that receives a careful and detailed study in this memoir. Results are then applied to the motivating example of the work: the existence of transition layer behavior for two-point boundary value problems of singularly perturbed systems.
On The Correlation Of Multiplicative And The Sum Of Additive Arithmetic Functions
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Author : Peter D. T. A. Elliott
language : en
Publisher: American Mathematical Soc.
Release Date : 1994
On The Correlation Of Multiplicative And The Sum Of Additive Arithmetic Functions written by Peter D. T. A. Elliott and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Mathematics categories.
The correlation of multiplicative arithmetic functions on distinct arithmetic progressions and with values in the complex unit disc, cannot be continually near to its possible maximum unless each function is either very close to or very far from a generalized character. Moreover, under accessible condition the second possibility can be ruled out. As a consequence analogs of the standard limit theorems in probabilistic number theory are obtained with the classical single additive function on the integers replaced by a sum of two additive functions on distinct arithmetic progressions.