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| Author | : Yael Karshon |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 87 |
| Release | : 1999 |
| Genre | : Mathematics |
| ISBN | : 0821811819 |
This book is intended for graduate students and research mathematicians interested in global analysis, analysis on manifolds, and symplectic geometry.
| Author | : Yael Karshon |
| Publisher | : American Mathematical Society(RI) |
| Total Pages | : 87 |
| Release | : 2014-09-11 |
| Genre | : MATHEMATICS |
| ISBN | : 9781470402631 |
This book is intended for graduate students and research mathematicians interested in global analysis, analysis on manifolds, and symplectic geometry.
| Author | : Igor Nikolaev |
| Publisher | : Springer |
| Total Pages | : 305 |
| Release | : 2006-11-14 |
| Genre | : Mathematics |
| ISBN | : 354048759X |
Time-evolution in low-dimensional topological spaces is a subject of puzzling vitality. This book is a state-of-the-art account, covering classical and new results. The volume comprises Poincaré-Bendixson, local and Morse-Smale theories, as well as a carefully written chapter on the invariants of surface flows. Of particular interest are chapters on the Anosov-Weil problem, C*-algebras and non-compact surfaces. The book invites graduate students and non-specialists to a fascinating realm of research. It is a valuable source of reference to the specialists.
| Author | : Ross Lawther |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 146 |
| Release | : 1999 |
| Genre | : Mathematics |
| ISBN | : 0821819666 |
This book is intended for graduate students and research mathematicians interested in group theory and genralizations
| Author | : Michèle Audin |
| Publisher | : Birkhäuser |
| Total Pages | : 331 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 3034879601 |
The material and references in this extended second edition of "The Topology of Torus Actions on Symplectic Manifolds", published as Volume 93 in this series in 1991, have been updated. Symplectic manifolds and torus actions are investigated, with numerous examples of torus actions, for instance on some moduli spaces. Although the book is still centered on convexity results, it contains much more material, in particular lots of new examples and exercises.
| Author | : Anthony D. Blaom |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 137 |
| Release | : 2001 |
| Genre | : Mathematics |
| ISBN | : 0821827200 |
In this text, the perturbation theory of non-commutatively integrable systems is revisited from the point of view of non-Abelian symmetry groups. Using a co-ordinate system intrinsic to the geometry of the symmetry, the book generalizes and geometrizes well-known estimates of Nekhoroshev (1977), in a class of systems having almost $G$-invariant Hamiltonians. These estimates are shown to have a natural interpretation in terms of momentum maps and co-adjoint orbits. The geometric framework adopted is described explicitly in examples, including the Euler-Poinsot rigid body.
| Author | : Michael B. Marcus |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 138 |
| Release | : 1999 |
| Genre | : Mathematics |
| ISBN | : 0821813404 |
Sufficient conditions are obtained for the continuity of renormalized self-intersection local times for the multiple intersections of a large class of strongly symmetric L vy processes in $R DEGREESm$, $m=1,2$. In $R DEGREES2$ these include Brownian motion and stable processes of index greater than 3/2, as well as many processes in their domains of attraction. In $R DEGREES1$ these include stable processes of index $3/4
| Author | : Volodymyr V. Lyubashenko |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 197 |
| Release | : 1999 |
| Genre | : Mathematics |
| ISBN | : 0821813617 |
This book is intended for graduate students and research mathematicians interested in associative rings and algebras.
| Author | : Erik Guentner |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 101 |
| Release | : 2000 |
| Genre | : Mathematics |
| ISBN | : 0821821164 |
This title examines the equivariant e-theory for c*-algebra, focusing on research carried out by Higson and Kasparov. Let A and B be C*-algebras which are equipped with continuous actions of a second countable, locally compact group G. We define a notion of equivariant asymptotic morphism, and use it to define equivariant E-theory groups EULG(A, B) which generalize the E-theory groups of Connes and Higson. We develop the basic properties of equivariant E-theory, including a composition product and six-term exact sequences in both variables, and apply our theory to the problem of calculating K-theory for group C*-algebras. Our main theorem gives a simple criterion for the assembly map of Baum and Connes to be an isomorphism. The result plays an important role in the work of Higson and Kasparov on the Bau m-Connes conjecture for groups which act isometrically and metrically properly on Hilbert space
| Author | : Shlomo Strelitz |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 105 |
| Release | : 1999 |
| Genre | : Mathematics |
| ISBN | : 0821813528 |
Asymptotics are built for the solutions $y_j(x, \lambda)$, $y_j DEGREES{(k)}(0, \lambda)=\delta_{j\, n-k}$, $0\le j, k+1\le n$ of the equation $L(y)=\lambda p(x)y, \quad x\in [0,1], $ where $L(y)$ is a linear differential operator of whatever order $n\ge 2$ and $p(x)$ is assumed to possess a finite number of turning points. The established asymptotics are afterwards applied to the study of: 1) the existence of infinite eigenvalue sequences for various multipoint boundary problems posed on $L(y)=\lambda p(x)y, \quad x\in [0,1], $, especially as $n=2$ and $n=3$ (let us be aware that the same method can be successfully applied on many occasions in case $n>3$ too) and 2) asymptotical distribution of the corresponding eigenvalue sequences on the
