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Function representation
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241	Example computations in automorphic spectral theory Paul Garrett, University of Minnesota Desiderata: • Attention to primordial/fundamental issues... • ... presumably requiring adaptible, perhaps Add to Reading List Source URL: www.math.umn.edu Language: English - Date: 2010-06-25 09:58:58 Harmonic analysis Representation theory of Lie groups Partial differential equations Hyperbolic geometry Plancherel theorem for spherical functions Hyperbolic function Spherical harmonics Automorphic form Mathematical analysis Mathematics Abstract algebra
242	Moments for L–functions for GLr × GLr−1 A. Diaconu 1 P. Garrett 2 D. Goldfeld 3 Abstract: We establish a spectral identity for moments of Rankin-Selberg L– functions on GLr × GLr−1 over arbitrary number fields, Add to Reading List Source URL: www.math.umn.edu Language: English - Date: 2011-03-26 10:40:55 Automorphic forms Cuspidal representation Langlands program Representation theory of Lie groups Fourier series Modular form Gelfand pair Automorphic L-function Abstract algebra Mathematical analysis Group theory
243	Representation Of Level Paths Of An Analytic Function Kerry M. Soileau June 29, 2006 ABSTRACT We find an arc-parameterization of the contour on which an given analytic function has constant modulus. This contour is seen Add to Reading List Source URL: arxiv.org Language: English - Date: 2007-04-27 11:52:34 Complex number Continuous function
244	Examples in automorphic spectral theory Paul Garrett, University of Minnesota [Aug 2010, Durham, UK, with additions Sept Add to Reading List Source URL: www.math.umn.edu Language: English - Date: 2010-09-30 20:10:33 Plancherel theorem for spherical functions Fourier analysis Zonal spherical function Spherical harmonics Fourier series Continuous function Residue Mathematical analysis Harmonic analysis Representation theory of Lie groups
245	A NUMERICAL INVARIANT FOR LINEAR REPRESENTATIONS OF FINITE GROUPS NIKITA A. KARPENKO AND ZINOVY REICHSTEIN Abstract. We study the notion of essential dimension for a linear representation of a finite group. In characteri Add to Reading List Source URL: www.math.uni-bielefeld.de Language: English - Date: 2014-06-19 17:33:41 Representation theory of finite groups Character theory Essential dimension Representation theory Field extension Group ring Modular representation theory Representation theory of Lie groups Zonal spherical function Abstract algebra Algebra Harmonic analysis
246	THE LAGRANGIAN RADON TRANSFORM AND THE WEIL REPRESENTATION GIUSEPPE MARMO, PETER W. MICHOR, YURY A. NERETIN Abstract. We consider the operator R, which sends a function on R2n to its integrals over all affine Lagrangian Add to Reading List Source URL: www.mat.univie.ac.at Language: English - Date: 2014-02-12 11:51:26 Symplectic geometry Linear algebra Lie groups Differential geometry Symplectic vector space Lagrangian Grassmannian Grassmannian Unitary group Lagrangian Algebra Mathematics Geometry
247	TRANSCENDENCE OF VALUES AT ALGEBRAIC POINTS FOR CERTAIN HIGHER ORDER HYPERGEOMETRIC FUNCTIONS (UPDATED) PIERRE-ANTOINE DESROUSSEAUX, MARVIN D. TRETKOFF, Add to Reading List Source URL: www.math.tamu.edu Language: English - Date: 2007-10-16 14:21:27 Ordinary differential equations Spectral theory Representation theory of Lie groups Group theory Hypergeometric function Abelian variety Algebraic variety Algebraic number field Eigenvalues and eigenvectors Algebra Abstract algebra Mathematics
248	(June 6, [removed]Standard estimates for SL2(Z[i])\SL2(C)/SU (2) Paul Garrett [removed] http://www.math.umn.edu/˜garrett/ Add to Reading List Source URL: www.math.umn.edu Language: English - Date: 2013-03-30 17:41:48 Operator theory Quantum mechanics Plancherel theorem for spherical functions Zonal spherical function Mathematical analysis Representation theory of Lie groups Representation theory
249	Lectures on Algebraic Groups Dipendra Prasad Notes by Shripad M. Garge 1. Basic Affine Algebraic Geometry We begin these lectures with a review of affine algebraic geometry. Add to Reading List Source URL: www.math.tifr.res.in Language: English - Date: 2007-02-23 14:08:03 Field theory Scheme theory Algebraic variety Representation theory Algebraic group Zariski topology Algebraic function Field Algebraically closed field Abstract algebra Algebra Algebraic geometry
250	A series representation for the Riemann Zeta derived from the Gauss-Kuzmin-Wirsing Operator Linas Vepstas 2 January 2004 (revised 29 August 2005) Abstract Add to Reading List Source URL: linas.org Language: English - Date: 2005-12-09 22:16:06 Dynamical systems Operator theory Special functions Analytic number theory Gauss–Kuzmin–Wirsing operator Riemann zeta function Transfer operator Hurwitz zeta function Riemann hypothesis Mathematical analysis Mathematics Number theory

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