Sup-norms of Eigenfunctions on Arithmetic Ellipsoids

Valentin Blomer, Philippe Michel

Type: Article

Publication Date: 2011-01-06

Citations: 20

DOI: https://doi.org/10.1093/imrn/rnq280

Abstract

Journal Article Sup-norms of Eigenfunctions on Arithmetic Ellipsoids Get access Valentin Blomer, Valentin Blomer 1Mathematisches Institut, Universität Göttingen, Bunsenstr. 3-5, 37073 Göttingen, Germany Correspondence to be sent to: [email protected] Search for other works by this author on: Oxford Academic Google Scholar Philippe Michel Philippe Michel 2EPFL/SB/IMB/TAN, Station 8, CH-1015 Lausanne, Switzerland Search for other works by this author on: Oxford Academic Google Scholar International Mathematics Research Notices, Volume 2011, Issue 21, 2011, Pages 4934–4966, https://doi.org/10.1093/imrn/rnq280 Published: 06 January 2011 Article history Received: 30 September 2010 Revision received: 18 November 2010 Accepted: 30 November 2010 Published: 06 January 2011

Locations

International Mathematics Research Notices - View
reroDoc Digital Library - View - PDF
Infoscience (Ecole Polytechnique Fédérale de Lausanne) - View - PDF

Similar Works

Action	Title	Year	Authors
+ PDF Chat	Quasi-symmetry of $L^p$ norms of eigenfunctions	2002	Dmitry Jakobson Nikolaï Nadirashvili
+	Estimates for eigenfunctions	1967	Jaak Peetre
+	Sup-norm problem of certain eigenfunctions on arithmetic hyperbolic manifolds	2015	Subhajit Jana
+	Basis properties of eigenfunctions of the 𝑝-Laplacian	2006	Paul Binding Lyonell Boulton Jan Čepička Pavel Drábek Petr Girg
+	Eine Verallgemeinerung des Templeschen Einschließungssatzes auf normale Operatoren	1971	Hans‐Joachim Kornstaedt
+ PDF Chat	Entropy of eigenfunctions	2007	Nalini Anantharaman Herbert Koch Stéphane Nonnenmacher
+	Entropy of Eigenfunctions	2009	Nalini Anantharaman Herbert Koch Stéphane Nonnenmacher
+ PDF Chat	On the boundedness of Bergman projection	2016	José Ángel Peláez Jouni Rättyä
+	Zur Faktorisierung von Matrixfunktionen in Algebren mit zwei Normen	1977	Siegfried Prößdorf G. Unger
+	Über vektorielle Normen und den Zusammenhang mit Pseudometriken	1974	H. Fischer
+	L∞-norms of eigenfunctions for arithmetic hyperbolic 3-manifolds	1995	Shin-ya Koyama
+	Overdetermined Boundary Value Problems for the -Laplacian	2010	Giuseppe Buttazzo Bernd Kawohl
+ PDF Chat	Large Values of Eigenfunctions on Arithmetic Hyperbolic 3-Manifolds	2011	Djordje Milićević
+	Eigenfunctions of the laplacian on a real hyperbolic space = 実双曲型空間上のラプラシアンの固有函数	1974	勝弘峰村
+ PDF Chat	Norms of Eigenfunctions of Trigonometric KZB Operators	2013	E. Jensen A. Varchenko
+	On the convergence of eigenfunction expansion in the norm of Soboleff spaces	1986	I. Joó
+	Explicit closed-form expression for eigenfunction norms	2001	J.L. Lockshin
+	Eigenfunctions of the Laplacians on a real hyperbolic space	1974	勝弘峰村
+	Eigen functions of the Laplacian of exponential type	1997	Mitsuo Morimoto Keiko Fujita
+ PDF Chat	Absolute values of hyponormal operators with asymmetric spectra.	1983	C. R. Putnam

Works That Cite This (19)

Action	Title	Year	Authors
+ PDF Chat	Large values of modular forms	2014	Nicolas Templier
+ PDF Chat	Lower bounds for Maass forms on semisimple groups	2020	Farrell Brumley Simon Marshall
+ PDF Chat	Sup-norm of Hecke–Laplace eigenforms on $$S^3$$	2020	Raphael S. Steiner
+ PDF Chat	On the sup-norm of SL(3) Hecke-Maass cusp forms	2019	Roman Holowinsky Kevin Nowland Guillaume Ricotta Emmanuel Royer
+ PDF Chat	Subconvex bounds for Hecke–Maass forms on compact arithmetic quotients of semisimple Lie groups	2020	Pablo Ramacher Satoshi Wakatsuki
+ PDF Chat	On the sup-norm of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>S</mml:mi><mml:msub><mml:mi>L</mml:mi> <mml:mn>3</mml:mn> </mml:msub></mml:mrow></mml:math> Hecke–Maass cusp forms	2019	Roman Holowinsky Kevin Nowland Guillaume Ricotta Emmanuel Royer
+	Theta functions, fourth moments of eigenforms, and the sup-norm problem II	2022	Ilya Khayutin Paul D. Nelson Raphael S. Steiner
+ PDF Chat	Theta functions, fourth moments of eigenforms and the sup-norm problem II	2024	Ilya Khayutin Paul D. Nelson Raphael S. Steiner
+ PDF Chat	Concentration of closed geodesics in the homology of modular curves	2023	Asbjørn Christian Nordentoft
+ PDF Chat	Rankin–Selberg L-functions and the reduction of CM elliptic curves	2015	Sheng‐Chi Liu Riad Masri Matthew P. Young

Works Cited by This (23)

Action	Title	Year	Authors
+	Zur Zahlentheorie der Quaternionen-Algebren.	1955	Martin Eichler
+ PDF Chat	Arithmétique des Algèbres de Quaternions	1980	Marie-France Vignéras
+	Rational Quadratic Forms	1982	J. W. S. Cassels
+	Estimates for Rankin–Selberg L-Functions and Quantum Unique Ergodicity	2001	Peter Sarnak
+	Sequences of metrics on compact Riemann surfaces	1993	John A. Rhodes
+ PDF Chat	Theta series and automorphic forms on $GL_{\eta}$	1972	Hideo Shimizu
+	Bounds for Eigenfunctions of the Laplacian on Compact Riemannian Manifolds	2001	Harold Donnelly
+ PDF Chat	Sparse equidistribution problems, period bounds and subconvexity	2010	Akshay Venkatesh
+	Large values of eigenfunctions on arithmetic hyperbolic surfaces	2010	Djordje Milićević
+	L ∞ Norms of Eigenfunctions of Arithmetic Surfaces	1995	Henryk Iwaniec Peter Sarnak