Ebooks Gratuits

Télécharger les dernières nouvelles en format ebook, pdf et epub

Recherche d'ebooks...

Nous avons trouvé un total de 40 livres trouvés pour votre recherche. Téléchargez les ebooks et profitez-en !
A Real Variable Method for the Cauchy Transform, and Analytic Capacity

A Real Variable Method for the Cauchy Transform, and Analytic Capacity

Auteure: Takafumi Murai

Nombre de pages: 134

This research monograph studies the Cauchy transform on curves with the object of formulating a precise estimate of analytic capacity. The note is divided into three chapters. The first chapter is a review of the Calderón commutator. In the second chapter, a real variable method for the Cauchy transform is given using only the rising sun lemma. The final and principal chapter uses the method of the second chapter to compare analytic capacity with integral-geometric quantities. The prerequisites for reading this book are basic knowledge of singular integrals and function theory. It addresses specialists and graduate students in function theory and in fluid dynamics.

Sin imagen

Solutions ramifiées des problèmes de Cauchy caractéristiques et fonctions hypergéométriques à deux variables

Auteure: Setsuro Fujiié

Nombre de pages: 59
Sin imagen

Analysis of Several Complex Variables

Auteure: Takeo åosawa

Nombre de pages: 0

One of the approaches to the study of functions of several complex variables is to use methods originating in real analysis. In this concise book, the author gives a lucid presentation of how these methods produce a variety of global existence theorems in the theory of functions (based on the characterization of holomorphic functions as weak solutions of the Cauchy-Riemann equations). Emphasis is on recent results, including an L^2 extension theorem for holomorphic functions, that have brought a deeper understanding of pseudoconvexity and plurisubharmonic functions. Based on Oka's theorems and.

Real Analytic and Algebraic Singularities

Real Analytic and Algebraic Singularities

Auteure: Toshisumi Fukui , Shuichi Izumiya , Satoshi Koike , Toshisumi Fukuda

Nombre de pages: 236

This book contains a collection of papers covering recent progress in a number of areas of singularity theory. Topics include blow analyticity, recent progress in the research on equivalence relations of maps and functions, sufficiency of jets, and the transversality theorem. . Geometric and analytic studies of partial differential equations have been developed independently of one another, but the shock wave solutions appearing in natural phenomena are not well understood. Singularity theory may unify these studies and a survey based on this viewpoint is presented in which a new notion of weak solution is introduced. There are also reports on the recent progress in Zariski's conjecture on multiplicities of hypersurfaces, transcendency of analytic sets and on the topology of weighted homogeneous polynomials. This book will be of particular interest to specialists in singularities, partial differential equations, algebraic geometry and control theory.

Sin imagen

Analysis of Several Complex Variables

Auteure: Takeo Ōsawa

One of the approaches to the study of functions of several complex variables is to use methods originating in real analysis. In this concise book, the author gives a lucid presentation of how these methods produce a variety of global existence theorems in the theory of functions (based on the characterization of holomorphic functions as weak solutions of the Cauchy-Riemann equations). Emphasis is on recent results, including an L^2 extension theorem for holomorphic functions, that have brought a deeper understanding of pseudoconvexity and plurisubharmonic functions. Based on Oka's theorems and.

Cauchy Problem for Noneffectively Hyperbolic Operators

Cauchy Problem for Noneffectively Hyperbolic Operators

Auteure: Tatsuo Nishitani

Nombre de pages: 0

Annotation At a double characteristic point of a differential operator with real characteristics, the linearization of the Hamilton vector field of the principal symbol is called the Hamilton map and according to either the Hamilton map has non-zero real eigenvalues or not, the operator is said to be effectively hyperbolic or noneffectively hyperbolic. For noneffectively hyperbolic operators, it was proved in the late of 1970s that for the Cauchy problem to be C well posed the subprincipal symbol has to be real and bounded, in modulus, by the sum of modulus of pure imaginary eigenvalues of the Hamilton map. It has been recognized that what is crucial to the C well-posedness is not only the Hamilton map but also the behavior of orbits of the Hamilton flow near the double characteristic manifold and the Hamilton map itself is not enough to determine completely the behavior of orbits of the flow. Strikingly enough, if there is an orbit of the Hamilton flow which lands tangentially on the double characteristic manifold then the Cauchy problem is not C well posed even though the Levi condition is satisfied, only well posed in much smaller function spaces, the Gevrey class of order 1 s...

Asymptotic Analysis and Singularities: Elliptic and parabolic PDEs and related problems

Asymptotic Analysis and Singularities: Elliptic and parabolic PDEs and related problems

Auteure: Hideo Kozono

Nombre de pages: 430

This volume is the proceedings of the 14th MSJ International Research Institute "Asymptotic Analysis and Singularity", which was held at Sendai, Japan in July 2005. The proceedings contain survey papers and original research papers on nonlinear partial differential equations, dynamical systems, calculus of variations and mathematical physics.Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets except North America

Sin imagen

On the Uniqueness of Solution to the Cauchy Problem for Elliptic Equations in Two Variables

Auteure: Kyōto Daigaku. Research Institute For Mathematical Sciences , S. Fujii

Nombre de pages: 137
Sin imagen

Solutions Ramifiées Des Problèmes de Cauchy Caractéristique Et Fonctions Hypergéométriques À Deux Variables

Auteure: Setsuro Fujiié

Sin imagen

Solutions ramifées des problèmes de Cauchy caractéristiques et fonctions hypergéometriques à deux variables

Auteure: Setsuro Fujiié

Nombre de pages: 59
Sin imagen

An Intrinsic Metric Approach to Uniqueness of the Positive Cauchy Problem for Parabolic Equations

Auteure: Kazuhiro Ishige , Minoru Murata

Nombre de pages: 25
Asymptotic Analysis and Singularities: Hyperbolic and dispersive PDEs and fluid mechanics

Asymptotic Analysis and Singularities: Hyperbolic and dispersive PDEs and fluid mechanics

Auteure: Hideo Kozono

Nombre de pages: 416

This volume is the proceedings of the 14th MSJ International Research Institute "Asymptotic Analysis and Singularity", which was held at Sendai, Japan in July 2005. The proceedings contain survey papers and original research papers on nonlinear partial differential equations, dynamical systems, calculus of variations and mathematical physics.Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets except North America

Harmonic Analysis on Exponential Solvable Lie Groups

Harmonic Analysis on Exponential Solvable Lie Groups

Auteure: Hidenori Fujiwara , Jean Ludwig

Nombre de pages: 465

This book is the first one that brings together recent results on the harmonic analysis of exponential solvable Lie groups. There still are many interesting open problems, and the book contributes to the future progress of this research field. As well, various related topics are presented to motivate young researchers. The orbit method invented by Kirillov is applied to study basic problems in the analysis on exponential solvable Lie groups. This method tells us that the unitary dual of these groups is realized as the space of their coadjoint orbits. This fact is established using the Mackey theory for induced representations, and that mechanism is explained first. One of the fundamental problems in the representation theory is the irreducible decomposition of induced or restricted representations. Therefore, these decompositions are studied in detail before proceeding to various related problems: the multiplicity formula, Plancherel formulas, intertwining operators, Frobenius reciprocity, and associated algebras of invariant differential operators. The main reasoning in the proof of the assertions made here is induction, and for this there are not many tools available. Thus a...

Variational Methods for Evolving Objects

Variational Methods for Evolving Objects

Auteure: L.ambrosio , Y.giga , P.rybka

Nombre de pages: 0

This volume consists of eight original survey papers written by invited lecturers in connection with a conference 'Variational Methods for Evolving Objects' held at Hokkaido University, Sapporo, Japan, July 30 - August 3, 2012. The topics of papers vary widely from problems in image processing to dynamics of topological defects, and all involve some nonlinear phenomena of current major research interests. These papers are carefully prepared so that they serve as a good starting point of investigation for graduate students and new comers to the field and are strongly recommended.Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets except North America

Measures on Infinite Dimensional Spaces

Measures on Infinite Dimensional Spaces

Auteure: Yasuo Yamasaki

Nombre de pages: 276

This book is based on lectures given at Yale and Kyoto Universities and provides a self-contained detailed exposition of the following subjects: 1) The construction of infinite dimensional measures, 2) Invariance and quasi-invariance of measures under translations. This book furnishes an important tool for the analysis of physical systems with infinite degrees of freedom (such as field theory, statistical physics and field dynamics) by providing material on the foundations of these problems.

Sin imagen

On the Global Existence of Real Analytic Solutions and Hyperfunction Solutions of Linear Differential Equations

Auteure: T. Kawai

Nombre de pages: 0
Sin imagen

On the Uniqueness for the Cauchy Problem for Elliptic Equations with Triple Characteristics

Auteure: Shin-ichi Fujii

Nombre de pages: 22

Derniers ebooks et auteurs recherchés