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Author: Jean-Pierre Rosay
Publisher: American Mathematical Soc.
ISBN: 082182712X
Category : Mathematics
Languages : en
Pages : 109
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Book Description
This work is intended for graduate students and research mathematicians interested in functional analysis, several complex variables, analytic spaces, and differential equations.
Author: Jean-Pierre Rosay
Publisher: American Mathematical Soc.
ISBN: 082182712X
Category : Mathematics
Languages : en
Pages : 109
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Book Description
This work is intended for graduate students and research mathematicians interested in functional analysis, several complex variables, analytic spaces, and differential equations.
Author: Michael Grosser
Publisher: American Mathematical Soc.
ISBN: 0821827294
Category : Mathematics
Languages : en
Pages : 113
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Book Description
In part 1 of this title the authors construct a diffeomorphism invariant (Colombeau-type) differential algebra canonically containing the space of distributions in the sense of L. Schwartz. Employing differential calculus in infinite dimensional (convenient) vector spaces, previous attempts in this direction are unified and completed. Several classification results are achieved and applications to nonlinear differential equations involving singularities are given.
Author: Jean-Pierre Rosay
Publisher:
ISBN: 9781470403188
Category : Analytic functions
Languages : en
Pages : 94
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Book Description
Introduction Preliminaries on analytic functionals and hyperfunctions Appendix on good compact sets Analytic functionals as boundary values Nonlinear Paley-Wiener theory Strong boundary values Strong boundary values for the solutions of certain partial differential equations Comparison with other notions of boundary values Boundary values via cousin decompositions The Schwarz reflection principle References Index of notions.
Author: John E. Gilbert
Publisher: American Mathematical Soc.
ISBN: 0821827723
Category : Mathematics
Languages : en
Pages : 89
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Book Description
Under minimal assumptions on a function $\psi$ the authors obtain wavelet-type frames of the form $\psi_{j, k}(x) = r DEGREES{(1/2)n j} \psi(r DEGREESj x - sk), j \in \integer, k \in \integer DEGREESn, $ for some $r > 1$ and $s > 0$. This collection is shown to be a frame for a scale of Triebel-Lizorkin spaces (which includes Lebesgue, Sobolev and Hardy spaces) and the reproducing formula converges in norm as well as pointwise a.e. The construction follows from a characterization of those operators which are bounded on a space of smooth molecules. This characterization also allows us to decompose a broad range of singular integral operators in ter
Author: Yasuro Gon
Publisher: American Mathematical Soc.
ISBN: 0821827634
Category : Mathematics
Languages : en
Pages : 130
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Book Description
Obtains an explicit formula for generalized Whittaker functions and multiplicity one theorem for all discrete series representations of $SU(2,2)$.
Author: Robert Bieri
Publisher: American Mathematical Soc.
ISBN: 0821831844
Category : Mathematics
Languages : en
Pages : 105
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Book Description
Generalizing the Bieri-Neumann-Strebel-Renz Invariants, this Memoir presents the foundations of a theory of (not necessarily discrete) actions $\rho$ of a (suitable) group $G$ by isometries on a proper CAT(0) space $M$. The passage from groups $G$ to group actions $\rho$ implies the introduction of 'Sigma invariants' $\Sigmak(\rho)$ to replace the previous $\Sigmak(G)$ introduced by those authors. Their theory is now seen as a special case of what is studied here so that readers seeking a detailed treatment of their theory will find it included here as a special case. We define and study 'controlled $k$-connectedness $(CCk)$' of $\rho$, both over $M$ and over end points $e$ in the 'boundary at infinity' $\partial M$; $\Sigmak(\rho)$ is by definition the set of all $e$ over which the action is $(k-1)$-connected. A central theorem, the Boundary Criterion, says that $\Sigmak(\rho) = \partial M$ if and only if $\rho$ is $CC{k-1}$ over $M$.An Openness Theorem says that $CCk$ over $M$ is an open condition on the space of isometric actions $\rho$ of $G$ on $M$. Another Openness Theorem says that $\Sigmak(\rho)$ is an open subset of $\partial M$ with respect to the Tits metric topology. When $\rho(G)$ is a discrete group of isometries the property $CC{k-1}$ is equivalent to ker$(\rho)$ having the topological finiteness property type '$F_k$'. More generally, if the orbits of the action are discrete, $CC{k-1}$ is equivalent to the point-stabilizers having type $F_k$. In particular, for $k=2$ we are characterizing finite presentability of kernels and stabilizers. Examples discussed include: locally rigid actions, translation actions on vector spaces (especially those by metabelian groups
Author: Wojciech Chachólski
Publisher: American Mathematical Soc.
ISBN: 0821827596
Category : Mathematics
Languages : en
Pages : 106
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Book Description
In this paper the authors develop homotopy theoretical methods for studying diagrams. In particular they explain how to construct homotopy colimits and limits in an arbitrary model category. The key concept introduced is that of a model approximation. A model approximation of a category $\mathcal{C}$ with a given class of weak equivalences is a model category $\mathcal{M}$ together with a pair of adjoint functors $\mathcal{M} \rightleftarrows \mathcal{C}$ which satisfy certain properties. The key result says that if $\mathcal{C}$ admits a model approximation then so does the functor category $Fun(I, \mathcal{C})$.
Author: Laura Ann Smithies
Publisher: American Mathematical Soc.
ISBN: 0821827251
Category : Mathematics
Languages : en
Pages : 106
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Book Description
This book is intended for graduate students and research mathematicians interested in topological groups, Lie groups, category theory, and homological algebra.
Author: A. Doelman
Publisher: American Mathematical Soc.
ISBN: 0821827391
Category : Mathematics
Languages : en
Pages : 82
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Book Description
This work is intended for graduate students and research mathematicians interested in partial differential equations.
Author: Donald M. Davis
Publisher: American Mathematical Soc.
ISBN: 0821829874
Category : Mathematics
Languages : en
Pages : 65
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Book Description
A formula for the odd-primary v1-periodic homotopy groups of a finite H-space in terms of its K-theory and Adams operations has been obtained by Bousfield. This work applys this theorem to give explicit determinations of the v1-periodic homotopy groups of (E8,5) and (E8,3), thus completing the determination of all odd-primary v1-periodic homotopy groups of all compact simple Lie groups, a project suggested by Mimura in 1989.
