Classical Microlocal Analysis in the Space of Hyperfunctions

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Publisher : Springer
ISBN 13 : 3540451617
Total Pages : 373 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Classical Microlocal Analysis in the Space of Hyperfunctions by : Seiichiro Wakabayashi

Download or read book Classical Microlocal Analysis in the Space of Hyperfunctions written by Seiichiro Wakabayashi and published by Springer. This book was released on 2007-05-06 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book develops "Classical Microlocal Analysis" in the spaces of hyperfunctions and microfunctions, which makes it possible to apply the methods in the distribution category to the studies on partial differential equations in the hyperfunction category. Here "Classical Microlocal Analysis" means that it does not use "Algebraic Analysis." The main tool in the text is, in some sense, integration by parts. The studies on microlocal uniqueness, analytic hypoellipticity and local solvability are reduced to the problems to derive energy estimates (or a priori estimates). The author assumes basic understanding of theory of pseudodifferential operators in the distribution category.

Classical Microlocal Analysis in the Space of Hyperfunctions

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Publisher :
ISBN 13 : 9783662200056
Total Pages : 380 pages
Book Rating : 4.2/5 ( download)

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Book Synopsis Classical Microlocal Analysis in the Space of Hyperfunctions by : Seiichiro Wakabayashi

Download or read book Classical Microlocal Analysis in the Space of Hyperfunctions written by Seiichiro Wakabayashi and published by . This book was released on 2014-09-01 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mixed Automorphic Forms, Torus Bundles, and Jacobi Forms

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540219224
Total Pages : 262 pages
Book Rating : 4.2/5 (192 download)

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Book Synopsis Mixed Automorphic Forms, Torus Bundles, and Jacobi Forms by : Min Ho Lee

Download or read book Mixed Automorphic Forms, Torus Bundles, and Jacobi Forms written by Min Ho Lee and published by Springer Science & Business Media. This book was released on 2004-05-13 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume deals with various topics around equivariant holomorphic maps of Hermitian symmetric domains and is intended for specialists in number theory and algebraic geometry. In particular, it contains a comprehensive exposition of mixed automorphic forms that has never yet appeared in book form. The main goal is to explore connections among complex torus bundles, mixed automorphic forms, and Jacobi forms associated to an equivariant holomorphic map. Both number-theoretic and algebro-geometric aspects of such connections and related topics are discussed.

The Art of Random Walks

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Publisher : Springer Science & Business Media
ISBN 13 : 3540330275
Total Pages : 194 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis The Art of Random Walks by : Andras Telcs

Download or read book The Art of Random Walks written by Andras Telcs and published by Springer Science & Business Media. This book was released on 2006-05-17 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: Einstein proved that the mean square displacement of Brownian motion is proportional to time. He also proved that the diffusion constant depends on the mass and on the conductivity (sometimes referred to Einstein’s relation). The main aim of this book is to reveal similar connections between the physical and geometric properties of space and diffusion. This is done in the context of random walks in the absence of algebraic structure, local or global spatial symmetry or self-similarity. The author studies the heat diffusion at this general level and discusses the following topics: The multiplicative Einstein relation, Isoperimetric inequalities, Heat kernel estimates Elliptic and parabolic Harnack inequality.

Asymptotics for Dissipative Nonlinear Equations

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Publisher : Springer Science & Business Media
ISBN 13 : 3540320598
Total Pages : 570 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Asymptotics for Dissipative Nonlinear Equations by : Nakao Hayashi

Download or read book Asymptotics for Dissipative Nonlinear Equations written by Nakao Hayashi and published by Springer Science & Business Media. This book was released on 2006-04-21 with total page 570 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many of problems of the natural sciences lead to nonlinear partial differential equations. However, only a few of them have succeeded in being solved explicitly. Therefore different methods of qualitative analysis such as the asymptotic methods play a very important role. This is the first book in the world literature giving a systematic development of a general asymptotic theory for nonlinear partial differential equations with dissipation. Many typical well-known equations are considered as examples, such as: nonlinear heat equation, KdVB equation, nonlinear damped wave equation, Landau-Ginzburg equation, Sobolev type equations, systems of equations of Boussinesq, Navier-Stokes and others.

From Hahn-Banach to Monotonicity

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Publisher : Springer Science & Business Media
ISBN 13 : 1402069189
Total Pages : 251 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis From Hahn-Banach to Monotonicity by : Stephen Simons

Download or read book From Hahn-Banach to Monotonicity written by Stephen Simons and published by Springer Science & Business Media. This book was released on 2008-02-13 with total page 251 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new edition of LNM 1693 aims to reduce questions on monotone multifunctions to questions on convex functions. However, rather than using a "big convexification" of the graph of the multifunction and the "minimax technique" for proving the existence of linear functionals satisfying certain conditions, the Fitzpatrick function is used. The journey begins with the Hahn-Banach theorem and culminates in a survey of current results on monotone multifunctions on a Banach space.

Simplicial Complexes of Graphs

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Publisher : Springer Science & Business Media
ISBN 13 : 3540758585
Total Pages : 376 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Simplicial Complexes of Graphs by : Jakob Jonsson

Download or read book Simplicial Complexes of Graphs written by Jakob Jonsson and published by Springer Science & Business Media. This book was released on 2007-11-15 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: A graph complex is a finite family of graphs closed under deletion of edges. Graph complexes show up naturally in many different areas of mathematics. Identifying each graph with its edge set, one may view a graph complex as a simplicial complex and hence interpret it as a geometric object. This volume examines topological properties of graph complexes, focusing on homotopy type and homology. Many of the proofs are based on Robin Forman's discrete version of Morse theory.

In Memoriam Paul-André Meyer - Séminaire de Probabilités XXXIX

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Publisher : Springer
ISBN 13 : 3540355138
Total Pages : 423 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis In Memoriam Paul-André Meyer - Séminaire de Probabilités XXXIX by : Marc Yor

Download or read book In Memoriam Paul-André Meyer - Séminaire de Probabilités XXXIX written by Marc Yor and published by Springer. This book was released on 2006-10-17 with total page 423 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 39th volume of Séminaire de Probabilités is a tribute to the memory of Paul André Meyer. His life and achievements are recalled in this book, and tributes are paid by his friends and colleagues. This volume also contains mathematical contributions to classical and quantum stochastic calculus, the theory of processes, martingales and their applications to mathematical finance and Brownian motion. These contributions provide an overview on the current trends of stochastic calculus.

Introduction to Symplectic Dirac Operators

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Publisher : Springer
ISBN 13 : 3540334211
Total Pages : 131 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Introduction to Symplectic Dirac Operators by : Katharina Habermann

Download or read book Introduction to Symplectic Dirac Operators written by Katharina Habermann and published by Springer. This book was released on 2006-10-28 with total page 131 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is the first one that gives a systematic and self-contained introduction to the theory of symplectic Dirac operators and reflects the current state of the subject. At the same time, it is intended to establish the idea that symplectic spin geometry and symplectic Dirac operators may give valuable tools in symplectic geometry and symplectic topology, which have become important fields and very active areas of mathematical research.

Open Quantum Systems II

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Publisher : Springer
ISBN 13 : 3540339663
Total Pages : 254 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Open Quantum Systems II by : Stéphane Attal

Download or read book Open Quantum Systems II written by Stéphane Attal and published by Springer. This book was released on 2006-08-29 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: Understanding dissipative dynamics of open quantum systems remains a challenge in mathematical physics. This problem is relevant in various areas of fundamental and applied physics. Significant progress in the understanding of such systems has been made recently. These books present the mathematical theories involved in the modeling of such phenomena. They describe physically relevant models, develop their mathematical analysis and derive their physical implications.

Transseries and Real Differential Algebra

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Publisher : Springer
ISBN 13 : 354035591X
Total Pages : 265 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Transseries and Real Differential Algebra by : Joris van der Hoeven

Download or read book Transseries and Real Differential Algebra written by Joris van der Hoeven and published by Springer. This book was released on 2006-10-31 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: Transseries are formal objects constructed from an infinitely large variable x and the reals using infinite summation, exponentiation and logarithm. They are suitable for modeling "strongly monotonic" or "tame" asymptotic solutions to differential equations and find their origin in at least three different areas of mathematics: analysis, model theory and computer algebra. They play a crucial role in Écalle's proof of Dulac's conjecture, which is closely related to Hilbert's 16th problem. The aim of the present book is to give a detailed and self-contained exposition of the theory of transseries, in the hope of making it more accessible to non-specialists.

Orthogonal Polynomials and Special Functions

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Publisher : Springer
ISBN 13 : 3540367160
Total Pages : 432 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Orthogonal Polynomials and Special Functions by : Francisco Marcellàn

Download or read book Orthogonal Polynomials and Special Functions written by Francisco Marcellàn and published by Springer. This book was released on 2006-10-18 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: Special functions and orthogonal polynomials in particular have been around for centuries. Can you imagine mathematics without trigonometric functions, the exponential function or polynomials? The present set of lecture notes contains seven chapters about the current state of orthogonal polynomials and special functions and gives a view on open problems and future directions.

Splitting Deformations of Degenerations of Complex Curves

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Publisher : Springer
ISBN 13 : 3540333649
Total Pages : 583 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Splitting Deformations of Degenerations of Complex Curves by : Shigeru Takamura

Download or read book Splitting Deformations of Degenerations of Complex Curves written by Shigeru Takamura and published by Springer. This book was released on 2006-10-11 with total page 583 pages. Available in PDF, EPUB and Kindle. Book excerpt: Here is a deformation theory for degenerations of complex curves; specifically, discussing deformations which induce splitting of the singular fiber of a degeneration. The author constructs a deformation of the degeneration in such a way that a subdivisor is "barked," or peeled off from the singular fiber. "Barking deformations" are related to deformations of surface singularities, in particular, cyclic quotient singularities, as well as the mapping class groups of Riemann surfaces via monodromies.

The Lace Expansion and its Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 3540311890
Total Pages : 233 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis The Lace Expansion and its Applications by : Gordon Slade

Download or read book The Lace Expansion and its Applications written by Gordon Slade and published by Springer Science & Business Media. This book was released on 2006-05-17 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: The lace expansion is a powerful and flexible method for understanding the critical scaling of several models of interest in probability, statistical mechanics, and combinatorics, above their upper critical dimensions. These models include the self-avoiding walk, lattice trees and lattice animals, percolation, oriented percolation, and the contact process. This volume provides a unified and extensive overview of the lace expansion and its applications to these models.

The Wulff Crystal in Ising and Percolation Models

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Publisher : Springer
ISBN 13 : 3540348069
Total Pages : 267 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis The Wulff Crystal in Ising and Percolation Models by : Raphaël Cerf

Download or read book The Wulff Crystal in Ising and Percolation Models written by Raphaël Cerf and published by Springer. This book was released on 2006-08-29 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a synopsis of recent works aiming at a mathematically rigorous justification of the phase coexistence phenomenon, starting from a microscopic model. It is intended to be self-contained. Those proofs that can be found only in research papers have been included, whereas results for which the proofs can be found in classical textbooks are only quoted.

Combinatorial Stochastic Processes

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Publisher : Springer Science & Business Media
ISBN 13 : 354030990X
Total Pages : 257 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Combinatorial Stochastic Processes by : Jim Pitman

Download or read book Combinatorial Stochastic Processes written by Jim Pitman and published by Springer Science & Business Media. This book was released on 2006-05-11 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this text is to bring graduate students specializing in probability theory to current research topics at the interface of combinatorics and stochastic processes. There is particular focus on the theory of random combinatorial structures such as partitions, permutations, trees, forests, and mappings, and connections between the asymptotic theory of enumeration of such structures and the theory of stochastic processes like Brownian motion and Poisson processes.

Calculus of Variations and Nonlinear Partial Differential Equations

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Publisher : Springer Science & Business Media
ISBN 13 : 3540759131
Total Pages : 213 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Calculus of Variations and Nonlinear Partial Differential Equations by : Luigi Ambrosio

Download or read book Calculus of Variations and Nonlinear Partial Differential Equations written by Luigi Ambrosio and published by Springer Science & Business Media. This book was released on 2008-01-02 with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt: With a historical overview by Elvira Mascolo