Download or read book Noninvariant Base Change Identities written by Jean-Pierre Labesse and published by . This book was released on 1995 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Analyzing and Modeling Data and Knowledge written by Martin Schader and published by Springer Science & Business Media. This book was released on 2013-03-13 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: The volume contains revised versions of papers presented at the 15th Annual Meeting of the "Gesellschaft f}r Klassifika- tion". Papers were arranged in the following three parts which were the main streams of discussion during the confe- rence: 1. Data Analysis, Classification 2. Data Modeling, Knowledge Processing, 3. Applications, Special Subjects. New results on developing mathematical and statistical methods allowing quantitative analysis of data are reported on. Tools for representing, modeling, storing and processing da- ta and knowledge are discussed. Applications in astro-phycics, archaelogy, biology, linguistics, and medicine are presented.
Download or read book On Mapping Properties of the General Relativistic Constraints Operator in Weighted Function Spaces with Applications written by Piotr T. Chruściel and published by . This book was released on 2003 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, the authors prove perturbation and gluing results for solutions of the general relativistic constraints with controlled boundary behavior or asymptotic behavior. This is obtained by a study of the linearized equation in weighted spaces a la Corvino-Schoen. Among other methods, this can be used to prove existence of non-trivial asymptotically simple vacuum space-times. The book is suitable for graduate students and research mathematicians interested in analysis.
Download or read book Boundary Cohomology of Shimura Varieties III written by Michael Harris and published by . This book was released on 2001 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, the authors complete the verification of the following fact: The nerve spectral sequence for the cohomology of the Borel-Serre boundary of a Shimura variety $\mathrm{Sh}$ is a spectral sequence of mixed Hodge-de Rham structures over the field of definition of its canonical model. To achieve that, they develop the machinery of automorphic vector bundles on mixed Shimura varieties, for the latter enter in the boundary of the toroidal compactifications of $\mathrm{Sh}$; and study the nerve spectral sequence for the automorphic vector bundles and the toroidal boundary. They also extend the technique of averting issues of base-change by taking cohomology with growth conditions. They give and apply formulas for the Hodge gradation of the cohomology of both $\mathrm{Sh}$ and its Borel-Serre boundary.
Download or read book M moire written by and published by . This book was released on 2006 with total page 546 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Algebraic Study of Systems of Partial Differential Equations written by Masaki Kashiwara and published by . This book was released on 1995 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematical Study of the Betaplane Model written by Isabelle Gallagher and published by . This book was released on 2006 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors are interested in a model of rotating fluids, describing the motion of the ocean in the equatorial zone. This model is known as the Saint-Venant, or shallow-water type system, to which a rotation term is added whose amplitude is linear with respect to the latitude; in particular it vanishes at the equator. After a physical introduction to the model, the authors describe the various waves involved and study in detail the resonances associated to those waves. They then exhibit the formal limit system (as the rotation becomes large), obtained as usual by filtering out the waves, and prove its wellposedness. Finally they prove three types of convergence results: a weak convergence result towards a linear, geostrophic equation, a strong convergence result of the filtered solutions towards the unique strong solution to the limit system, and a ``hybrid'' strong convergence result of the filtered solutions towards a weak solution to the limit system. In particular the authors obtain that there are no confined equatorial waves in the mean motion as the rotation becomes large.
Download or read book Moderate and Formal Cohomology Associated with Constructible Sheaves written by 柏原正樹 and published by . This book was released on 1996 with total page 92 pages. Available in PDF, EPUB and Kindle. Book excerpt: On a complex manifold $X$, the authors construct the functors $\cdot \otimes^{\mathrm{w}}\mathcal O_X$ and $Thom (\cdot, \mathcal O_X)$ of formal and moderate cohomology from the category of $\mathbb R$-constructible sheaves to that of $\mathcal D_X$-modules. This construction allows for functorial and unified treatment of $C^{\infty}$ functions, distributions, formal completion, and local algebraic cohomology. The behavior of these functors under the usual operations on $\mathcal D$-modules is systematically studied, and adjunction formulas for correspondences of complex manifolds are obtained. This theory provides a natural tool to treat integral transformations with growth conditions such as Radon, Poisson, and Laplace transforms.
Download or read book Mathematical Reviews written by and published by . This book was released on 2008 with total page 1226 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Wave Diffracted by a Wedge with Mixed Boundary Conditions written by Olivier Lafitte and published by . This book was released on 2002 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph studies the diffraction of a wave by a curved wedge on the plane in the case where each side of the wedge is characterized by a mixed boundary condition of impedance type. This book is suitable for graduate students and researchers interested in partial differential equations, in particular in diffraction theory and its applications to problems in physics.
Download or read book written by and published by . This book was released on 1997 with total page 658 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Spectral Properties of Self similar Lattices and Iteration of Rational Maps written by Christophe Sabot and published by . This book was released on 2003 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this text, the author considers discrete Laplace operators defined on lattices based on finitely ramified self-similar sets and their continuous analogs defined on the self-similar sets. He focuses on the spectral properties of these operators. The basic example is the lattice based on the Sierpinski gasket. He introduces a new renormalization map that appears to be a rational map defined on a smooth projective variety. (More precisely, this variety is isomorphic to a product of three types of Grassmannians: complex Grassmannians, Lagrangian Grassmannian, and orthogonal Grassmannians.) He relates some characteristics of the dynamics of its iterates with some characteristics of the spectrum of the operator. Specifically, he gives an explicit formula for the density of states in terms of the Green current of the map, and he relates the indeterminacy points of the map with the so-called Neumann-Dirichlet eigenvalues which lead to eigenfunctions with compact support on the unbounded lattice. Depending on the asymptotic degree of the map, he can prove drastically different spectral properties of the operators. The formalism is valid for the general class of finitely ramified self-similar sets.
Download or read book Bulletin de la Soci t mathematique de France written by and published by . This book was released on 2006 with total page 680 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Annales Scientifiques de L cole Normale Sup rieure written by École normale supérieure (France) and published by . This book was released on 2012 with total page 1068 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Strichartz Estimates for Schr dinger Equations with Variable Coefficients written by Luc Robbiano and published by . This book was released on 2005 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors prove the (local in time) Stricharz estimates (for the full range of parameters given by the scaling unless the end point) for asymptotically flat and non trapping perturbations of the flat Laplacian in $\mathbb {R} ^n$, $n\geq 2$. The main point of the proof, namely the dispersion estimate, is obtained in constructing a parametrix. The main tool for this construction is the use of the Fourier-Bros-Iagolnitzer (FBI) transform.
Download or read book Global Solutions for Small Nonlinear Long Range Perturbations of Two Dimensional Schr dinger Equations written by Jean-Marc Delort and published by . This book was released on 2002 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt: Here the author presents the following: Let $Q_1, Q_2$ be two quadratic forms, and $u$ a local solution of the two-dimensional Schrodinger equation $(i\partial _t + \Delta )u = Q_1(u,\nabla _x u) + Q_2(\bar {u},\nabla _x \bar {u})$. He proves that if $Q_1$ and $Q_2$ do depend on the derivatives of $u$, and if the Cauchy datum is small enough and decaying enough at infinity, the solution exists for all times. The difficulty of the problem originates in the fact that the nonlinear perturbation is a long range one: This means that it can be written as the product of (a derivative of) $u$ and of a potential whose $L^\infty$ space-norm is not time integrable at infinity.
Download or read book Albanese and Picard 1 motives written by Luca Barbieri-Viale and published by . This book was released on 2001 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume gives a nice summary of current work in the theory of 1-motives. The authors present the following: Let $X$ be an $n$-dimensional algebraic variety over a field of characteristic zero. They describe algebraically defined Deligne $1$-motives $\mathrm{Alb}^{+} (X)$, $\mathrm{Alb}^{-} (X)$, $\mathrm{Pic}^{+} (X)$ and $\mathrm{Pic}^{-} (X)$ which generalize the classical Albanese and Picard varieties of a smooth projective variety. Computed are Hodge, $\ell$-adic, and De Rham realizations, proving Deligne's conjecture for $H^{2n-1}$, $H_{2n-1}$, $H^1$ and $H_1$. Investigated are functoriality, universality, homotopical invariance and invariance under formation of projective bundles. The authors compare the cohomological and homological $1$-motives for normal schemes. For proper schemes, they obtain an Abel-Jacobi map from Albanese $1$-motive, which is the universal regular homomorphism to semi-abelian varieties. By using this universal property, they obtain motivic Gysin maps for projective local complete intersection morphisms. The volume is suitable for advanced graduate students and researchers interested in algebraic geometry.
