The Meromorphic Continuation And Functional Equations Of Cuspidal Eisenstein Series For Maximal Cuspidal Subgroups
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The Meromorphic Continuation And Functional Equations Of Cuspidal Eisenstein Series For Maximal Cuspidal Subgroups
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Author : Shek-Tung Wong
language : en
Publisher: American Mathematical Soc.
Release Date : 1990
The Meromorphic Continuation And Functional Equations Of Cuspidal Eisenstein Series For Maximal Cuspidal Subgroups written by Shek-Tung Wong and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Mathematics categories.
We carry out, in the context of an algebraic group and an arithmetic subgroup, an idea of Selberg for continuing Eisenstein series. It makes use of the theory of integral operators. The meromorphic continuation and functional equation of an Eisenstein series constructed with a cusp form on the Levi component of a rank one cuspidal subgroup are established.
Kernel Functions Analytic Torsion And Moduli Spaces
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Author : John David Fay
language : en
Publisher: American Mathematical Soc.
Release Date : 1992
Kernel Functions Analytic Torsion And Moduli Spaces written by John David Fay and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Mathematics categories.
This memoir is a study of Ray-Singer analytic torsion for hermitian vector bundles on a compact Riemann surface [italic]C. The torsion is expressed through the trace of a modified resolvent. Thus, one can develop perturbation-curvature formulae for the Green-Szegö kernel and also for the torsion in terms of the Ahlfors-Bers complex structure of the Teichmuller space and Mumford complex structure of the moduli space of stable bundles of degree zero on [italic]C.
Sum Of Even Powers Of Real Linear Forms
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Author : Bruce Arie Reznick
language : en
Publisher: American Mathematical Soc.
Release Date : 1992
Sum Of Even Powers Of Real Linear Forms written by Bruce Arie Reznick and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Mathematics categories.
This work initiates a systematic analysis of the representation of real forms of even degree as sums of powers of linear forms and the resulting implications in real algebraic geometry, number theory, combinatorics, functional analysis, and numerical analysis. The proofs utilize elementary techniques from linear algebra, convexity, number theory, and real algebraic geometry and many explicit examples and relevant historical remarks are presented.
Vertex Algebras And Integral Bases For The Enveloping Algebras Of Affine Lie Algebras
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Author : Shari A. Prevost
language : en
Publisher: American Mathematical Soc.
Release Date : 1992
Vertex Algebras And Integral Bases For The Enveloping Algebras Of Affine Lie Algebras written by Shari A. Prevost and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Mathematics categories.
We present a new proof of the identities needed to exhibit an explicit [bold]Z-basis for the universal enveloping algebra associated to an affine Lie algebra. We then use the explicit [bold]Z-bases to extend Borcherds' description, via vertex operator representations, of a [bold]Z-form of the enveloping algebras for the simply-laced affine Lie algebras to the enveloping algebras associated to the unequal root length affine Lie algebras.
Selberg Trace Formulae And Equidistribution Theorems For Closed Geodesics And Laplace
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Author : Steven Zelditch
language : en
Publisher: American Mathematical Soc.
Release Date : 1992
Selberg Trace Formulae And Equidistribution Theorems For Closed Geodesics And Laplace written by Steven Zelditch and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Mathematics categories.
This memoir extends the author's earlier work and gives a generalization of the Selberg trace formula and applications to generalizations of the eigenvalue counting problem and the prime geodesic theorem. As a consequence of these results, he obtains both a proof of the equidistribution theorem for closed geodesics and sharp error estimates. His previous work derived the relevant trace formulae in the compact quotient case, and this paper is concerned largely with the additional complications that occur in the noncompact case, both in terms of deriving the relevant formulae and in estimating various terms.
On The Existence Of Feller Semigroups With Boundary Conditions
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Author : Kazuaki Taira
language : en
Publisher: American Mathematical Soc.
Release Date : 1992
On The Existence Of Feller Semigroups With Boundary Conditions written by Kazuaki Taira and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Mathematics categories.
This paper is devoted to the functional analytic approach to the problem of construction of Feller semigroups with Ventcel' (Wentzell) boundary conditions. This paper considers the non-transversal case and solves from the viewpoint of functional analysis the problem of construction of Feller semigroups for elliptic Waldenfels operators. Intuitively, our result may be stated as follows: One can construct a Feller semigroup corresponding to such a diffusion phenomenon that a Markovian particle moves both by jumps and continuously in the state space until it "dies" at which time it reaches the set where the absorption phenomenon occurs.
Constant Mean Curvature Immersions Of Enneper Type
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Author : Henry C. Wente
language : en
Publisher: American Mathematical Soc.
Release Date : 1992
Constant Mean Curvature Immersions Of Enneper Type written by Henry C. Wente and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Mathematics categories.
This memoir is devoted to the case of constant mean curvature surfaces immersed in [bold]R3. We reduce this geometrical problem to finding certain integrable solutions to the Gauss equation. Many new and interesting examples are presented, including immersed cylinders in [bold]R3 with embedded Delaunay ends and [italic]n-lobes in the middle, and one-parameter families of immersed constant mean curvature tori in [bold]R3. We examine minimal surfaces in hyperbolic three-space, which is in some ways the most complicated case.
The Subregular Germ Of Orbital Integrals
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Author : Thomas Callister Hales
language : en
Publisher: American Mathematical Soc.
Release Date : 1992
The Subregular Germ Of Orbital Integrals written by Thomas Callister Hales and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Mathematics categories.
An integral formula for the subregular germ of a [italic small capital]K-orbital integral is developed. The formula holds for any reductive group over a [italic]p-adic field of characteristic zero. This expression of the subregular germ is obtained by applying Igusa's theory of asymptotic expansions. The integral formula is applied to the question of the transfer of a [italic small capital]K-orbital integral to an endoscopic group. It is shown that the quadratic characters arising in the subregular germs are compatible with the transfer. Details of the transfer are given for the subregular germ of unitary groups.
Orientation And The Leray Schauder Theory For Fully Nonlinear Elliptic Boundary Value Problems
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Author : Patrick Fitzpatrick
language : en
Publisher: American Mathematical Soc.
Release Date : 1993-01-01
Orientation And The Leray Schauder Theory For Fully Nonlinear Elliptic Boundary Value Problems written by Patrick Fitzpatrick and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-01-01 with Mathematics categories.
The aim of this work is to develop an additive, integer-valued degree theory for the class of quasilinear Fredholm mappings. This class is sufficiently large that, within its framework, one can study general fully nonlinear elliptic boundary value problems. A degree for the whole class of quasilinear Fredholm mappings must necessarily accommodate sign-switching of the degree along admissible homotopies. The authors introduce ''parity'', a homotopy invariant of paths of linear Fredholm operators having invertible endpoints. The parity provides a complete description of the possible changes in sign of the degree and thereby permits use of the degree to prove multiplicity and bifurcation theorems for quasilinear Fredholm mappings. Applications are given to the study of fully nonlinear elliptic boundary value problems.
G Categories
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Author : Robert Gordon
language : en
Publisher: American Mathematical Soc.
Release Date : 1993
G Categories written by Robert Gordon and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Mathematics categories.
A [italic]G-category is a category on which a group [italic]G acts. This work studies the 2-category [italic]G-cat of [italic]G-categories, [italic]G-functors (functors which commute with the action of [italic]G) and [italic]G-natural transformations (natural transformations which commute with the [italic]G-action). There is a particular emphasis on the relationship between a [italic]G-category and its stable subcategory, the largest sub-[italic]G-category on which [italic]G operates trivially. Also contained here are some very general applications of the theory to various additive [italic]G-categories and to [italic]G-topoi.