Local Zeta Functions Attached to the Minimal Spherical Series for a Class of Symmetric Spaces PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Local Zeta Functions Attached to the Minimal Spherical Series for a Class of Symmetric Spaces PDF full book. Access full book title Local Zeta Functions Attached to the Minimal Spherical Series for a Class of Symmetric Spaces by Nicole Bopp. Download full books in PDF and EPUB format.
Author: Nicole Bopp
Publisher: American Mathematical Soc.
ISBN: 0821836234
Category : Mathematics
Languages : en
Pages : 250
Get Book Here
Book Description
Intends to prove a functional equation for a local zeta function attached to the minimal spherical series for a class of real reductive symmetric spaces.
Author: Nicole Bopp
Publisher: American Mathematical Soc.
ISBN: 0821836234
Category : Mathematics
Languages : en
Pages : 250
Get Book Here
Book Description
Intends to prove a functional equation for a local zeta function attached to the minimal spherical series for a class of real reductive symmetric spaces.
Author: Nicole Bopp
Publisher: American Mathematical Soc.
ISBN: 9781470404222
Category : Mathematics
Languages : en
Pages : 233
Get Book Here
Book Description
The aim of this paper is to prove a functional equation for a local zeta function attached to the minimal spherical series for a class of real reductive symmetric spaces. These symmetric spaces are obtained as follows. We consider a graded simple real Lie algebra $\widetilde{\mathfrak g}$ of the form $\widetilde{\mathfrak g}=V^-\oplus \mathfrak g\oplus V^+$, where $[\mathfrak g,V^+]\subset V^+$, $[\mathfrak g,V^-]\subset V^-$ and $[V^-,V^+]\subset \mathfrak g$. If the graded algebra is regular, then a suitable group $G$ with Lie algebra $\mathfrak g$ has a finite number of open orbits in $V^+$, each of them is a realization of a symmetric space $G\slash H_p$.The functional equation gives a matrix relation between the local zeta functions associated to $H_p$-invariant distributions vectors for the same minimal spherical representation of $G$. This is a generalization of the functional equation obtained by Godement} and Jacquet for the local zeta function attached to a coefficient of a representation of $GL(n,\mathbb R)$.
Author: Enrique Artal-Bartolo
Publisher: American Mathematical Soc.
ISBN: 0821838768
Category : Mathematics
Languages : en
Pages : 98
Get Book Here
Book Description
Intends to prove the monodromy conjecture for the local Igusa zeta function of a quasi-ordinary polynomial of arbitrary dimension defined over a number field. In order to do it, this title computes the local Denef-Loeser motivic zeta function $Z_{\text{DL}}(h, T)$ of a quasi-ordinary power series $h$ of arbitrary dimension
Author: Wen-Wei Li
Publisher: Springer
ISBN: 3030012883
Category : Mathematics
Languages : en
Pages : 148
Get Book Here
Book Description
This book focuses on a conjectural class of zeta integrals which arose from a program born in the work of Braverman and Kazhdan around the year 2000, the eventual goal being to prove the analytic continuation and functional equation of automorphic L-functions. Developing a general framework that could accommodate Schwartz spaces and the corresponding zeta integrals, the author establishes a formalism, states desiderata and conjectures, draws implications from these assumptions, and shows how known examples fit into this framework, supporting Sakellaridis' vision of the subject. The collected results, both old and new, and the included extensive bibliography, will be valuable to anyone who wishes to understand this program, and to those who are already working on it and want to overcome certain frequently occurring technical difficulties.
Author: Trevor Alan Welsh
Publisher: American Mathematical Soc.
ISBN: 0821836560
Category : Mathematics
Languages : en
Pages : 176
Get Book Here
Book Description
Fermionic expressions for all minimal model Virasoro characters $\chi DEGREES{p, p'}_{r, s}$ are stated and proved. Each such expression is a sum of terms of fundamental fermionic f
Author: Joachim Krieger
Publisher: American Mathematical Soc.
ISBN: 0821838776
Category : Mathematics
Languages : en
Pages : 96
Get Book Here
Book Description
Presents a study of Wave Maps from ${\mathbf{R}}^{2+1}$ to the hyperbolic plane ${\mathbf{H}}^{2}$ with smooth compactly supported initial data which are close to smooth spherically symmetric initial data with respect to some $H^{1+\mu}$, $\mu>0$.
Author: David P. Blecher
Publisher: American Mathematical Soc.
ISBN: 0821838237
Category : Mathematics
Languages : en
Pages : 102
Get Book Here
Book Description
The theory of one-sided $M$-ideals and multipliers of operator spaces is simultaneously a generalization of classical $M$-ideals, ideals in operator algebras, and aspects of the theory of Hilbert $C*$-modules and their maps. Here we give a systematic exposition of this theory. The main part of this memoir consists of a 'calculus' for one-sided $M$-ideals and multipliers, i.e. a collection of the properties of one-sided $M$-ideals and multipliers with respect to the basic constructions met in functional analysis. This is intended to be a reference tool for 'noncommutative functional analysts' who may encounter a one-sided $M$-ideal or multiplier in their work.
Author: Vladimir Bolotnikov
Publisher: American Mathematical Soc.
ISBN: 0821840479
Category : Mathematics
Languages : en
Pages : 122
Get Book Here
Book Description
A number of interpolation problems are considered in the Schur class of $p\times q$ matrix valued functions $S$ that are analytic and contractive in the open unit disk. The interpolation constraints are specified in terms of nontangential limits and angular derivatives at one or more (of a finite number of) boundary points. Necessary and sufficient conditions for existence of solutions to these problems and a description of all the solutions when these conditions are met is given.The analysis makes extensive use of a class of reproducing kernel Hilbert spaces ${\mathcal{H (S)$ that was introduced by de Branges and Rovnyak. The Stein equation that is associated with the interpolation problems under consideration is analyzed in detail. A lossless inverse scattering problem isalso considered.
Author: Nicola Arcozzi
Publisher: American Mathematical Soc.
ISBN: 0821839179
Category : Mathematics
Languages : en
Pages : 178
Get Book Here
Book Description
Contents: A tree structure for the unit ball $mathbb B? n$ in $mathbb C'n$; Carleson measures; Pointwise multipliers; Interpolating sequences; An almost invariant holomorphic derivative; Besov spaces on trees; Holomorphic Besov spaces on Bergman trees; Completing the multiplier interpolation loop; Appendix; Bibliography
Author: Leon Armenovich Takhtadzhi︠a︡n
Publisher: American Mathematical Soc.
ISBN: 0821839365
Category : Mathematics
Languages : en
Pages : 136
Get Book Here
Book Description
In this memoir, we prove that the universal Teichmuller space $T(1)$ carries a new structure of a complex Hilbert manifold and show that the connected component of the identity of $T(1)$ -- the Hilbert submanifold $T {0 (1)$ -- is a topological group. We define a Weil-Petersson metric on $T(1)$ by Hilbert space inner products on tangent spaces, compute its Riemann curvature tensor, and show that $T(1)$ is a Kahler-Einstein manifold with negative Ricci and sectional curvatures. We introduce and compute Mumford-Miller-Morita characteristic forms for the vertical tangent bundle of the universal Teichmuller curve fibration over the universal Teichmuller space. As an application, we derive Wolpert curvature formulas for the finite-dimensional Teichmuller spaces from the formulas for the universal Teichmuller space. We study in detail the Hilbert manifold structure on $T {0 (1)$ and characterize points on $T {0 (1)$ in terms of Bers and pre-Bers embeddings by proving that the Grunsky operators $B {1 $ and The results of this memoir were presented in our e-prints: Weil-Petersson metric on the universal Teichmuller space I. Curvature properties and Chern forms, arXiv:math.CV/0312172 (2003), and Weil-Petersson metric on the universal Teichmuller space II. Kahler potential and period mapping, arXiv:math.CV/0406408 (2004).
