Operator Theory On Noncommutative Domains
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Operator Theory On Noncommutative Domains
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Author : Gelu Popescu
language : en
Publisher: American Mathematical Soc.
Release Date : 2010
Operator Theory On Noncommutative Domains written by Gelu Popescu 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 2010 with Mathematics categories.
"Volume 205, number 964 (third of 5 numbers)."
Noncommutative Function Theoretic Operator Theory And Applications
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Author : Joseph A. Ball
language : en
Publisher: Cambridge University Press
Release Date : 2021-12-16
Noncommutative Function Theoretic Operator Theory And Applications written by Joseph A. Ball and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-12-16 with Mathematics categories.
This concise volume shows how ideas from function and systems theory lead to new insights for noncommutative multivariable operator theory.
Multivariable Operator Theory
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Author : Ernst Albrecht
language : en
Publisher: Springer Nature
Release Date : 2023-12-21
Multivariable Operator Theory written by Ernst Albrecht and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-12-21 with Mathematics categories.
Over the course of his distinguished career, Jörg Eschmeier made a number of fundamental contributions to the development of operator theory and related topics. The chapters in this volume, compiled in his memory, are written by distinguished mathematicians and pay tribute to his many significant and lasting achievements.
On A Conjecture Of E M Stein On The Hilbert Transform On Vector Fields
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Author : Michael Thoreau Lacey
language : en
Publisher: American Mathematical Soc.
Release Date : 2010
On A Conjecture Of E M Stein On The Hilbert Transform On Vector Fields written by Michael Thoreau Lacey 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 2010 with Mathematics categories.
"Volume 205, number 965 (fourth of 5 numbers)."
Differential Forms On Wasserstein Space And Infinite Dimensional Hamiltonian Systems
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Author : Wilfrid Gangbo
language : en
Publisher: American Mathematical Soc.
Release Date : 2010
Differential Forms On Wasserstein Space And Infinite Dimensional Hamiltonian Systems written by Wilfrid Gangbo 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 2010 with Mathematics categories.
Let $\mathcal{M}$ denote the space of probability measures on $\mathbb{R}^D$ endowed with the Wasserstein metric. A differential calculus for a certain class of absolutely continuous curves in $\mathcal{M}$ was introduced by Ambrosio, Gigli, and Savare. In this paper the authors develop a calculus for the corresponding class of differential forms on $\mathcal{M}$. In particular they prove an analogue of Green's theorem for 1-forms and show that the corresponding first cohomology group, in the sense of de Rham, vanishes. For $D=2d$ the authors then define a symplectic distribution on $\mathcal{M}$ in terms of this calculus, thus obtaining a rigorous framework for the notion of Hamiltonian systems as introduced by Ambrosio and Gangbo. Throughout the paper the authors emphasize the geometric viewpoint and the role played by certain diffeomorphism groups of $\mathbb{R}^D$.
Q Valued Functions Revisited
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Author : Camillo De Lellis
language : en
Publisher: American Mathematical Soc.
Release Date : 2011
Q Valued Functions Revisited written by Camillo De Lellis 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 2011 with Mathematics categories.
In this memoir the authors revisit Almgren's theory of $Q$-valued functions, which are functions taking values in the space $\mathcal{A}_Q(\mathbb{R}^{n})$ of unordered $Q$-tuples of points in $\mathbb{R}^{n}$. In particular, the authors: give shorter versions of Almgren's proofs of the existence of $\mathrm{Dir}$-minimizing $Q$-valued functions, of their Holder regularity, and of the dimension estimate of their singular set; propose an alternative, intrinsic approach to these results, not relying on Almgren's biLipschitz embedding $\xi: \mathcal{A}_Q(\mathbb{R}^{n})\to\mathbb{R}^{N(Q,n)}$; improve upon the estimate of the singular set of planar $\mathrm{D}$-minimizing functions by showing that it consists of isolated points.
Centres Of Centralizers Of Unipotent Elements In Simple Algebraic Groups
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Author : Ross Lawther
language : en
Publisher: American Mathematical Soc.
Release Date : 2011
Centres Of Centralizers Of Unipotent Elements In Simple Algebraic Groups written by Ross Lawther 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 2011 with Mathematics categories.
Let G be a simple algebraic group defined over an algebraically closed field k whose characteristic is either 0 or a good prime for G, and let uEG be unipotent. The authors study the centralizer CG(u), especially its centre Z(CG(u)). They calculate the Lie algebra of Z(CG(u)), in particular determining its dimension; they prove a succession of theorems of increasing generality, the last of which provides a formula for dim Z(CG(u)) in terms of the labelled diagram associated to the conjugacy class containing u.
On First And Second Order Planar Elliptic Equations With Degeneracies
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Author : Abdelhamid Meziani
language : en
Publisher: American Mathematical Soc.
Release Date : 2012
On First And Second Order Planar Elliptic Equations With Degeneracies written by Abdelhamid Meziani 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 2012 with Mathematics categories.
This paper deals with elliptic equations in the plane with degeneracies. The equations are generated by a complex vector field that is elliptic everywhere except along a simple closed curve. Kernels for these equations are constructed. Properties of solutions, in a neighborhood of the degeneracy curve, are obtained through integral and series representations. An application to a second order elliptic equation with a punctual singularity is given.
Networking Seifert Surgeries On Knots
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Author : Arnaud Deruelle
language : en
Publisher: American Mathematical Soc.
Release Date : 2012
Networking Seifert Surgeries On Knots written by Arnaud Deruelle 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 2012 with Mathematics categories.
The authors propose a new approach in studying Dehn surgeries on knots in the $3$-sphere $S^3$ yielding Seifert fiber spaces. The basic idea is finding relationships among such surgeries. To describe relationships and get a global picture of Seifert surgeries, they introduce ``seiferters'' and the Seifert Surgery Network, a $1$-dimensional complex whose vertices correspond to Seifert surgeries. A seiferter for a Seifert surgery on a knot $K$ is a trivial knot in $S^3$ disjoint from $K$ that becomes a fiber in the resulting Seifert fiber space. Twisting $K$ along its seiferter or an annulus cobounded by a pair of its seiferters yields another knot admitting a Seifert surgery. Edges of the network correspond to such twistings. A path in the network from one Seifert surgery to another explains how the former Seifert surgery is obtained from the latter after a sequence of twistings along seiferters and/or annuli cobounded by pairs of seiferters. The authors find explicit paths from various known Seifert surgeries to those on torus knots, the most basic Seifert surgeries. The authors classify seiferters and obtain some fundamental results on the structure of the Seifert Surgery Network. From the networking viewpoint, they find an infinite family of Seifert surgeries on hyperbolic knots which cannot be embedded in a genus two Heegaard surface of $S^3$.
The Hermitian Two Matrix Model With An Even Quartic Potential
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Author : Maurice Duits
language : en
Publisher: American Mathematical Soc.
Release Date : 2012
The Hermitian Two Matrix Model With An Even Quartic Potential written by Maurice Duits 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 2012 with Mathematics categories.
The authors consider the two matrix model with an even quartic potential $W(y)=y^4/4+\alpha y^2/2$ and an even polynomial potential $V(x)$. The main result of the paper is the formulation of a vector equilibrium problem for the limiting mean density for the eigenvalues of one of the matrices $M_1$. The vector equilibrium problem is defined for three measures, with external fields on the first and third measures and an upper constraint on the second measure. The proof is based on a steepest descent analysis of a $4\times4$ matrix valued Riemann-Hilbert problem that characterizes the correlation kernel for the eigenvalues of $M_1$. The authors' results generalize earlier results for the case $\alpha=0$, where the external field on the third measure was not present.