Strong Boundary Values, Analytic Functionals, and Nonlinear Paley-Wiener Theory

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Publisher :
ISBN 13 : 9781470403188
Total Pages : 94 pages
Book Rating : 4.4/5 (31 download)

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Book Synopsis Strong Boundary Values, Analytic Functionals, and Nonlinear Paley-Wiener Theory by : Jean-Pierre Rosay

Download or read book Strong Boundary Values, Analytic Functionals, and Nonlinear Paley-Wiener Theory written by Jean-Pierre Rosay and published by . This book was released on 2014-09-11 with total page 94 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Strong Boundary Values, Analytic Functionals, and Nonlinear Paley-Wiener Theory

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Publisher : American Mathematical Soc.
ISBN 13 : 082182712X
Total Pages : 109 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Strong Boundary Values, Analytic Functionals, and Nonlinear Paley-Wiener Theory by : Jean-Pierre Rosay

Download or read book Strong Boundary Values, Analytic Functionals, and Nonlinear Paley-Wiener Theory written by Jean-Pierre Rosay and published by American Mathematical Soc.. This book was released on 2001 with total page 109 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work is intended for graduate students and research mathematicians interested in functional analysis, several complex variables, analytic spaces, and differential equations.

On the Foundations of Nonlinear Generalized Functions I and II

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Publisher : American Mathematical Soc.
ISBN 13 : 0821827294
Total Pages : 113 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis On the Foundations of Nonlinear Generalized Functions I and II by : Michael Grosser

Download or read book On the Foundations of Nonlinear Generalized Functions I and II written by Michael Grosser and published by American Mathematical Soc.. This book was released on 2001 with total page 113 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Smooth Molecular Decompositions of Functions and Singular Integral Operators

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Publisher : American Mathematical Soc.
ISBN 13 : 0821827723
Total Pages : 89 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Smooth Molecular Decompositions of Functions and Singular Integral Operators by : John E. Gilbert

Download or read book Smooth Molecular Decompositions of Functions and Singular Integral Operators written by John E. Gilbert and published by American Mathematical Soc.. This book was released on 2002 with total page 89 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Generalized Whittaker Functions on $SU(2,2)$ with Respect to the Siegel Parabolic Subgroup

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Publisher : American Mathematical Soc.
ISBN 13 : 0821827634
Total Pages : 130 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Generalized Whittaker Functions on $SU(2,2)$ with Respect to the Siegel Parabolic Subgroup by : Yasuro Gon

Download or read book Generalized Whittaker Functions on $SU(2,2)$ with Respect to the Siegel Parabolic Subgroup written by Yasuro Gon and published by American Mathematical Soc.. This book was released on 2002 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: Obtains an explicit formula for generalized Whittaker functions and multiplicity one theorem for all discrete series representations of $SU(2,2)$.

Connectivity Properties of Group Actions on Non-Positively Curved Spaces

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Publisher : American Mathematical Soc.
ISBN 13 : 0821831844
Total Pages : 105 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Connectivity Properties of Group Actions on Non-Positively Curved Spaces by : Robert Bieri

Download or read book Connectivity Properties of Group Actions on Non-Positively Curved Spaces written by Robert Bieri and published by American Mathematical Soc.. This book was released on 2003 with total page 105 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Homotopy Theory of Diagrams

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Publisher : American Mathematical Soc.
ISBN 13 : 0821827596
Total Pages : 106 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Homotopy Theory of Diagrams by : Wojciech Chachólski

Download or read book Homotopy Theory of Diagrams written by Wojciech Chachólski and published by American Mathematical Soc.. This book was released on 2002 with total page 106 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 $Fun(I, \mathcal{C})$.

Equivariant Analytic Localization of Group Representations

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Publisher : American Mathematical Soc.
ISBN 13 : 0821827251
Total Pages : 106 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Equivariant Analytic Localization of Group Representations by : Laura Ann Smithies

Download or read book Equivariant Analytic Localization of Group Representations written by Laura Ann Smithies and published by American Mathematical Soc.. This book was released on 2001 with total page 106 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended for graduate students and research mathematicians interested in topological groups, Lie groups, category theory, and homological algebra.

A Stability Index Analysis of 1-D Patterns of the Gray-Scott Model

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Publisher : American Mathematical Soc.
ISBN 13 : 0821827391
Total Pages : 82 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis A Stability Index Analysis of 1-D Patterns of the Gray-Scott Model by : A. Doelman

Download or read book A Stability Index Analysis of 1-D Patterns of the Gray-Scott Model written by A. Doelman and published by American Mathematical Soc.. This book was released on 2002 with total page 82 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work is intended for graduate students and research mathematicians interested in partial differential equations.

From Representation Theory to Homotopy Groups

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Publisher : American Mathematical Soc.
ISBN 13 : 0821829874
Total Pages : 65 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis From Representation Theory to Homotopy Groups by : Donald M. Davis

Download or read book From Representation Theory to Homotopy Groups written by Donald M. Davis and published by American Mathematical Soc.. This book was released on 2002 with total page 65 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Blowing Up of Non-Commutative Smooth Surfaces

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Publisher : American Mathematical Soc.
ISBN 13 : 0821827545
Total Pages : 157 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Blowing Up of Non-Commutative Smooth Surfaces by : M. van den Bergh

Download or read book Blowing Up of Non-Commutative Smooth Surfaces written by M. van den Bergh and published by American Mathematical Soc.. This book was released on 2001 with total page 157 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended for graduate students and research mathematicians interested in associative rings and algebras, and noncommutative geometry.

Partial Differential Equations And Their Applications - Proceedings Of The Conference

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Publisher : World Scientific
ISBN 13 : 9814543403
Total Pages : 332 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Partial Differential Equations And Their Applications - Proceedings Of The Conference by : Luigi Rodino

Download or read book Partial Differential Equations And Their Applications - Proceedings Of The Conference written by Luigi Rodino and published by World Scientific. This book was released on 1999-11-26 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume reports the recent progress in linear and nonlinear partial differential equations, microlocal analysis, singular partial differential operators, spectral analysis and hyperfunction theory.

Extending Intersection Homology Type Invariants to Non-Witt Spaces

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Publisher : American Mathematical Soc.
ISBN 13 : 0821829882
Total Pages : 101 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Extending Intersection Homology Type Invariants to Non-Witt Spaces by : Markus Banagl

Download or read book Extending Intersection Homology Type Invariants to Non-Witt Spaces written by Markus Banagl and published by American Mathematical Soc.. This book was released on 2002 with total page 101 pages. Available in PDF, EPUB and Kindle. Book excerpt: Intersection homology theory provides a way to obtain generalized Poincare duality, as well as a signature and characteristic classes, for singular spaces. For this to work, one has had to assume however that the space satisfies the so-called Witt condition. We extend this approach to constructing invariants to spaces more general than Witt spaces.

A Geometric Setting for Hamiltonian Perturbation Theory

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Publisher : American Mathematical Soc.
ISBN 13 : 0821827200
Total Pages : 137 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis A Geometric Setting for Hamiltonian Perturbation Theory by : Anthony D. Blaom

Download or read book A Geometric Setting for Hamiltonian Perturbation Theory written by Anthony D. Blaom and published by American Mathematical Soc.. This book was released on 2001 with total page 137 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Numerical Control over Complex Analytic Singularities

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Publisher : American Mathematical Soc.
ISBN 13 : 0821832808
Total Pages : 288 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Numerical Control over Complex Analytic Singularities by : David B. Massey

Download or read book Numerical Control over Complex Analytic Singularities written by David B. Massey and published by American Mathematical Soc.. This book was released on 2003 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: Generalizes the Le cycles and numbers to the case of hyper surfaces inside arbitrary analytic spaces. This book defines the Le-Vogel cycles and numbers, and prove that the Le-Vogel numbers control Thom's $a_f$ condition. It describes the relationship between the Euler characteristic of the Milnor fibre and the Le-Vogel numbers.

The Lifted Root Number Conjecture and Iwasawa Theory

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Publisher : American Mathematical Soc.
ISBN 13 : 0821829289
Total Pages : 105 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis The Lifted Root Number Conjecture and Iwasawa Theory by : Jürgen Ritter

Download or read book The Lifted Root Number Conjecture and Iwasawa Theory written by Jürgen Ritter and published by American Mathematical Soc.. This book was released on 2002 with total page 105 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper concerns the relation between the Lifted Root Number Conjecture, as introduced in [GRW2], and a new equivariant form of Iwasawa theory. A main conjecture of equivariant Iwasawa theory is formulated, and its equivalence to the Lifted Root Number Conjecture is shown subject to the validity of a semi-local version of the Root Number Conjecture, which itself is proved in the case of a tame extension of real abelian fields.

Real Methods in Complex and CR Geometry

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Publisher : Springer
ISBN 13 : 3540444874
Total Pages : 224 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Real Methods in Complex and CR Geometry by : Marco Abate

Download or read book Real Methods in Complex and CR Geometry written by Marco Abate and published by Springer. This book was released on 2004-08-30 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: The geometry of real submanifolds in complex manifolds and the analysis of their mappings belong to the most advanced streams of contemporary Mathematics. In this area converge the techniques of various and sophisticated mathematical fields such as P.D.E.s, boundary value problems, induced equations, analytic discs in symplectic spaces, complex dynamics. For the variety of themes and the surprisingly good interplaying of different research tools, these problems attracted the attention of some among the best mathematicians of these latest two decades. They also entered as a refined content of an advanced education. In this sense the five lectures of this volume provide an excellent cultural background while giving very deep insights of current research activity.