Degree 16 Standard L-function of $GSp(2) \times GSp(2)$

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Publisher : American Mathematical Soc.
ISBN 13 : 0821804766
Total Pages : 210 pages
Book Rating : 4.66/5 ( download)

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Book Synopsis Degree 16 Standard L-function of $GSp(2) \times GSp(2)$ by : Dihua Jiang

Download or read book Degree 16 Standard L-function of $GSp(2) \times GSp(2)$ written by Dihua Jiang and published by American Mathematical Soc.. This book was released on 1996 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: Automorphic L-functions, introduced by Robert Langlands in the 1960s, are natural extensions of such classical L-functions as the Riemann zeta function, Hecke L-functions, etc. They form an important part of the Langlands Program, which seeks to establish connections among number theory, representation theory, and geometry. This book offers, via the Rankin-Selberg method, a thorough and comprehensive examination of the degree 16 standard L-function of the product of two rank two symplectic similitude groups, which includes the study of the global integral of Rankin-Selberg type and local integrals, analytic properties of certain Eisenstein series of symplectic groups, and the relevant residue representations.

Degree 16 Standard L-function of GSp(2) X GSp(2)

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Publisher :
ISBN 13 : 9781470401733
Total Pages : 196 pages
Book Rating : 4.38/5 ( download)

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Book Synopsis Degree 16 Standard L-function of GSp(2) X GSp(2) by : Dihua Jiang

Download or read book Degree 16 Standard L-function of GSp(2) X GSp(2) written by Dihua Jiang and published by . This book was released on 1996 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Large Time Behavior of Solutions for General Quasilinear Hyperbolic-Parabolic Systems of Conservation Laws

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Publisher : American Mathematical Soc.
ISBN 13 : 0821805452
Total Pages : 135 pages
Book Rating : 4.59/5 ( download)

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Book Synopsis Large Time Behavior of Solutions for General Quasilinear Hyperbolic-Parabolic Systems of Conservation Laws by : Tai-Ping Liu

Download or read book Large Time Behavior of Solutions for General Quasilinear Hyperbolic-Parabolic Systems of Conservation Laws written by Tai-Ping Liu and published by American Mathematical Soc.. This book was released on 1997 with total page 135 pages. Available in PDF, EPUB and Kindle. Book excerpt: We are interested in the time-asymptotic behavior of solutions to viscous conservation laws. Through the pointwise estimates for the Green's function of the linearized system and the analysis of coupling of nonlinear diffusion waves, we obtain explicit expressions of the time-asymptotic behavior of the solutions. This yields optimal estimates in the integral norms. For most physical models, the viscosity matrix is not positive definite and the system is hyperbolic-parabolic, and not uniformly parabolic. This implies that the Green's function may contain Dirac [lowercase Greek]Delta-functions. When the corresponding inviscid system is non-strictly hyperbolic, the time-asymptotic state contains generalized Burgers solutions. These are illustrated by applying our general theory to the compressible Navier-Stokes equations and the equations of magnetohydrodynamics.

Short-Time Geometry of Random Heat Kernels

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Publisher : American Mathematical Soc.
ISBN 13 : 0821806491
Total Pages : 145 pages
Book Rating : 4.94/5 ( download)

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Book Synopsis Short-Time Geometry of Random Heat Kernels by : Richard Bucher Sowers

Download or read book Short-Time Geometry of Random Heat Kernels written by Richard Bucher Sowers and published by American Mathematical Soc.. This book was released on 1998 with total page 145 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume studies the behaviour of a random heat kernel associated with a stochastic partial differential equation, and gives short-time expansion of this heat kernel. The author finds that the dominant exponential term is classical and depends only on the Riemannian distance function. The second exponential term is a work term and also has classical meaning. There is also a third non-negligible exponential term which blows up. The author finds an expression for this third exponential term which involves a random translation of the index form and the equations of Jacobi fields. In the process, he develops a method to approximate the heat kernel to any arbitrary degree of precision.

Time-Dependent Subdifferential Evolution Inclusions and Optimal Control

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Publisher : American Mathematical Soc.
ISBN 13 : 082180779X
Total Pages : 97 pages
Book Rating : 4.98/5 ( download)

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Book Synopsis Time-Dependent Subdifferential Evolution Inclusions and Optimal Control by : Shouchuan Hu

Download or read book Time-Dependent Subdifferential Evolution Inclusions and Optimal Control written by Shouchuan Hu and published by American Mathematical Soc.. This book was released on 1998 with total page 97 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume studies multivalued evolution equations driven by time-dependent subdifferential operators and optimal control problems for such systems. The formulation is general enough to incorporate problems with time varying constraints. For evolution inclusions, existence relaxation and structural results for the solution set are proved. For optimal control problems, a general existence theory is developed, different forms of the relaxed problem are introduced and studied, well-posedness properties are investigated and the precise relation between the properties of relaxability and well-posedness is established. Various examples of systems which fit in the abstract framework are analysed.

Algebro-Geometric Quasi-Periodic Finite-Gap Solutions of the Toda and Kac-van Moerbeke Hierarchies

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Publisher : American Mathematical Soc.
ISBN 13 : 0821808087
Total Pages : 97 pages
Book Rating : 4.85/5 ( download)

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Book Synopsis Algebro-Geometric Quasi-Periodic Finite-Gap Solutions of the Toda and Kac-van Moerbeke Hierarchies by : Wolfgang Bulla

Download or read book Algebro-Geometric Quasi-Periodic Finite-Gap Solutions of the Toda and Kac-van Moerbeke Hierarchies written by Wolfgang Bulla and published by American Mathematical Soc.. This book was released on 1998 with total page 97 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this work, the authors provide a self-contained discussion of all real-valued quasi-periodic finite-gap solutions of the Toda and Kac-van Moerbeke hierarchies of completely integrable evolution equations. The approach utilizes algebro-geometric methods, factorization techniques for finite difference expressions, as well as Miura-type transformations. Detailed spectral theoretic properties of Lax pairs and theta function representations of the solutions are derived. Features: Simple and unified treatment of the topic. Self-contained development. Novel results for the Kac-van Moerbeke hierarchy and its algebro-geometric solutions.

Locally Finite, Planar, Edge-Transitive Graphs

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Publisher : American Mathematical Soc.
ISBN 13 : 0821805568
Total Pages : 89 pages
Book Rating : 4.65/5 ( download)

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Book Synopsis Locally Finite, Planar, Edge-Transitive Graphs by : Jack E. Graver

Download or read book Locally Finite, Planar, Edge-Transitive Graphs written by Jack E. Graver and published by American Mathematical Soc.. This book was released on 1997 with total page 89 pages. Available in PDF, EPUB and Kindle. Book excerpt: The nine finite, planar, 3-connected, edge-transitive graphs have been known and studied for many centuries. The infinite, locally finite, planar, 3-connected, edge-transitive graphs can be classified according to the number of their end. The 1-ended graphs in this class were identified by Grünbaum and Shephard; Watkins characterized the 2-ended members. Any remaining graphs in this class must have uncountably may ends. In this work, infinite-ended members of this class are shown to exist. A more detailed classification scheme in terms of the types of Petrie walks in the graphs in this class and the local structure of their automorphism groups is presented.

Algebraic Structure of Pseudocompact Groups

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Publisher : American Mathematical Soc.
ISBN 13 : 0821806297
Total Pages : 101 pages
Book Rating : 4.96/5 ( download)

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Book Synopsis Algebraic Structure of Pseudocompact Groups by : Dikran N. Dikranjan

Download or read book Algebraic Structure of Pseudocompact Groups written by Dikran N. Dikranjan and published by American Mathematical Soc.. This book was released on 1998 with total page 101 pages. Available in PDF, EPUB and Kindle. Book excerpt: The fundamental property of compact spaces - that continuous functions defined on compact spaces are bounded - served as a motivation for E. Hewitt to introduce the notion of a pseudocompact space. The class of pseudocompact spaces proved to be of fundamental importance in set-theoretic topology and its applications. This clear and self-contained exposition offers a comprehensive treatment of the question, When does a group admit an introduction of a pseudocompact Hausdorff topology that makes group operations continuous? Equivalently, what is the algebraic structure of a pseudocompact Hausdorff group? The authors have adopted a unifying approach that covers all known results and leads to new ones, Results in the book are free of any additional set-theoretic assumptions.

The $\Gamma $-Equivariant Form of the Berezin Quantization of the Upper Half Plane

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Publisher : American Mathematical Soc.
ISBN 13 : 0821807528
Total Pages : 85 pages
Book Rating : 4.21/5 ( download)

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Book Synopsis The $\Gamma $-Equivariant Form of the Berezin Quantization of the Upper Half Plane by : Florin Rădulescu

Download or read book The $\Gamma $-Equivariant Form of the Berezin Quantization of the Upper Half Plane written by Florin Rădulescu and published by American Mathematical Soc.. This book was released on 1998 with total page 85 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended for graduate students, research mathematicians, and mathematical physicists working in operator algebras.

Asymptotic Completeness, Global Existence and the Infrared Problem for the Maxwell-Dirac Equations

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Publisher : American Mathematical Soc.
ISBN 13 : 0821806831
Total Pages : 328 pages
Book Rating : 4.38/5 ( download)

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Book Synopsis Asymptotic Completeness, Global Existence and the Infrared Problem for the Maxwell-Dirac Equations by : Moshé Flato

Download or read book Asymptotic Completeness, Global Existence and the Infrared Problem for the Maxwell-Dirac Equations written by Moshé Flato and published by American Mathematical Soc.. This book was released on 1997 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this work is to present and give full proofs of new original research results concerning integration of and scattering for the classical Maxwell-Dirac equations.