Zuoqin Wang

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All published works

Action	Title	Year	Authors
+ PDF Chat	Bessel functions and Weyl's law for balls and spherical shells	2024	Jingwei Guo Tao Jiang Zuoqin Wang Xuerui Yang
+	Riemannian metrics with prescribed volume and finite parts of Dirichlet spectrum	2024	Xiang He Zuoqin Wang
+ PDF Chat	P\'olya's conjecture for thin products	2024	Xiang He Zuoqin Wang
+	Equivariant Morse theory for Lie algebra actions on Riemannian foliations	2024	Yi Lin Zuoqin Wang
+ PDF Chat	Cheeger estimates of Dirichlet-to-Neumann operators on infinite subgraphs of graphs	2023	Bobo Hua Yan Huang Zuoqin Wang
+	Riemannian metrics with prescribed volume and finite parts of Dirichlet spectrum	2023	Xiang He Zuoqin Wang
+ PDF Chat	Integral representations of isotropic semiclassical functions and applications	2022	Victor Guillemin Alejandro Uribe Zuoqin Wang
+ PDF Chat	The Weyl formula for planar annuli	2021	Jingwei Guo Wolfgang Müller Weiwei Wang Zuoqin Wang
+	Integral representations of isotropic semi-classical functions and applications	2021	Victor Guillemin Alejandro Uribe Zuoqin Wang
+	Inverse spectral results for non-abelian group actions	2020	Victor Guillemin Zuoqin Wang
+	Inverse spectral results for non-abelian group actions	2020	Victor Guillemin Zuoqin Wang
+	The Weyl formula for planar annuli	2019	Jingwei Guo Wolfgang Müller Weiwei Wang Zuoqin Wang
+	On the relative heat invariants of the Dirichlet-to-Neumann operators associated with Schrödinger operators	2018	Weiwei Wang Zuoqin Wang
+ PDF Chat	An Improved Remainder Estimate in the Weyl Formula for the Planar Disk	2018	Jingwei Guo Weiwei Wang Zuoqin Wang
+ PDF Chat	On isospectral compactness in conformal class for 4-manifolds	2018	Xianfu Liu Zuoqin Wang
+	Cheeger estimates of Dirichlet-to-Neumann operators on infinite subgraphs of graphs	2018	Bobo Hua Yan Huang Zuoqin Wang
+ PDF Chat	First eigenvalue estimates of Dirichlet-to-Neumann operators on graphs	2017	Bobo Hua Yan Huang Zuoqin Wang
+	First eigenvalue estimates of Dirichlet-to-Neumann operators on graphs	2017	Bobo Hua Yan Huang Zuoqin Wang
+	An improved remainder estimate in the Weyl formula for the planar disk	2017	Jingwei Guo Weiwei Wang Zuoqin Wang
+	Spectral properties of semi-classical Toeplitz operators	2017	Victor Guillemin Alejandro Uribe Zuoqin Wang
+	On Isospectral compactness in conformal class for 4-manifolds	2016	Xianfu Liu Zuoqin Wang
+ PDF Chat	The generalized Legendre transform and its applications to inverse spectral problems	2015	Victor Guillemin Zuoqin Wang
+	Canonical forms for perturbations of the harmonic oscillator	2013	Victor Guillemin Alejandro Uribe Zuoqin Wang
+ PDF Chat	Semiclassical Spectral Invariants for Schrödinger Operators	2012	Victor Guillemin Zuoqin Wang
+	A semiclassical heat trace expansion for the perturbed harmonic oscillator	2012	Victor Guillemin Alejandro Uribe Zuoqin Wang
+	Differentiability of t-functionals of location and scatter	2011	Richard M. Dudley Sergiy Sidenko Zuoqin Wang
+	Band invariants for perturbations of the harmonic oscillator	2011	Victor Guillemin Alejandro Uribe Zuoqin Wang
+	A semiclassical heat trace expansion for the perturbed harmonic oscillator	2011	Victor Guillemin Alejandro Uribe Zuoqin Wang
+ PDF Chat	Stability Functions	2009	D. Burns Victor Guillemin Zuoqin Wang
+ PDF Chat	Differentiability of t-functionals of location and scatter	2009	R. M. Dudley Sergiy Sidenko Zuoqin Wang
+	on smooth manifolds, Representation of Lie groups and Lie algebras, Structure of compact Lie groups. Elementary theory of Lie algebra. Text: No textbook are required. We will upload course notes to the course website after each lecture. There are many good textbooks on this subject, includes	2009	Zuoqin Wang
+	Semiclassical Spectral Invariants for Schrödinger Operators	2009	Victor Guillemin Zuoqin Wang
+ PDF Chat	The Mellin Transform and Spectral Properties of Toric Varieties	2008	Victor Guillemin Zuoqin Wang
+	Differentiability of M-functionals of location and scatter based on t likelihoods	2008	R. M. Dudley Sergiy Sidenko Zuoqin Wang
+	Geodesics on weighted projective spaces	2008	Victor Guillemin Alejandro Uribe Zuoqin Wang
+	Stability Functions	2008	D. Burns Victor Guillemin Zuoqin Wang
+	Some classes of rational functions and related Banach spaces	2007	R. M. Dudley Sergiy Sidenko Zuoqin Wang Fangyun Yang
+	The twisted Mellin transform	2007	Zuoqin Wang
+	The Mellin transform and spectral properties of toric varieties	2007	Victor Guillemin Zuoqin Wang
+	On the Fundamental Group of Open Manifolds with Nonnegative Ricci Curvature	2003	Sen-Lin Xu Zuoqin Wang Fangyun Yang

Common Coauthors

Coauthor	Papers Together
Victor Guillemin	17
Alejandro Uribe	8
Jingwei Guo	5
Sergiy Sidenko	4
Bobo Hua	4
R. M. Dudley	3
Weiwei Wang	3
Yan Huang	2
Wolfgang Müller	2
Fangyun Yang	2
D. Burns	2
Weiwei Wang	2
Xianfu Liu	2
Yan Huang	1
Xiang He	1
Sen-Lin Xu	1
Yi Lin	1
Xuerui Yang	1
Xiang He	1
Richard M. Dudley	1
Xiang He	1
Yan Huang	1
Tao Jiang	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Semiclassical Spectral Invariants for Schrödinger Operators	2012	Victor Guillemin Zuoqin Wang	5
+ PDF Chat	Riemann sums over polytopes	2007	Victor Guillemin Shlomo Sternberg	5
+	The spectral theory of Toeplitz operators	1981	L. Boutet de Monvel Victor Guillemin	4
+	The asymptotic expansion of bessel functions of large order	1954	F. W. J. Olver	4
+ PDF Chat	Das asymptotische Verteilungsgesetz der Eigenwerte linearer partieller Differentialgleichungen (mit einer Anwendung auf die Theorie der Hohlraumstrahlung)	1912	Hermann Weyl	4
+	Moment Maps and Combinatorial Invariants of Hamiltonian Tn-spaces	1994	Victor Guillemin	4
+	On the spectrum of positive elliptic operators and periodic bicharacteristics	1975	J. J. Duistermaat Victor Guillemin	4
+	Exponential Sums and Lattice Points III	2003	M. N. Huxley	3
+ PDF Chat	Distribution laws for integrable eigenfunctions	2004	Bernard Shiffman Tatsuya Tate Steve Zelditch	3
+ PDF Chat	Singular unitarity in “quantization commutes with reduction”	2008	Hui Li	3
+	The first Steklov eigenvalue, conformal geometry, and minimal surfaces	2010	Ailana Fraser Richard Schoen	3
+	Mean square of zeta function, circle problem and divisor problem revisited	2017	Jean Bourgain Nigel Watt	3
+ PDF Chat	Smooth Billiards with a Large Weyl Remainder	2015	Suresh Eswarathasan Iosif Polterovich John A. Toth	3
+	A Lower Bound for the Smallest Eigenvalue of the Laplacian	2015	Jeff Cheeger	3
+	The Geometry of the First Non-zero Stekloff Eigenvalue	1997	José F. Escobar	3
+ PDF Chat	Inverse Spectral Problems for Schrödinger Operators	2009	Hamid Hezari	3
+	Spectral geometry of the Steklov problem (Survey article)	2017	Alexandre Girouard Iosif Polterovich	3
+ PDF Chat	Semi-classical weights and equivariant spectral theory	2016	Emily B. Dryden Victor Guillemin Rosa Sena‐Dias	3
+	Semiclassical analysis	2019	Semyon Dyatlov Maciej Zworski	3
+	Geometric quantization and multiplicities of group representations	1982	Victor Guillemin S. Sternberg	3
+ PDF Chat	Une inégalité de Cheeger pour le spectre de Steklov	2015	Pierre Jammes	3
+	Universal Donsker Classes and Metric Entropy	2010	R. M. Dudley	2
+ PDF Chat	Multiway Spectral Partitioning and Higher-Order Cheeger Inequalities	2014	James R. Lee Shayan Oveis Gharan Luca Trevisan	2
+ PDF Chat	Multivariate Procedures Invariant Under Linear Transformations	1971	Robert L. Obenchain	2
+	Finiteness Theorems for Riemannian Manifolds	1970	Jeff Cheeger	2
+ PDF Chat	Hamiltoniens périodiques et images convexes de l'application moment	1988	Thomas Delzant	2
+ PDF Chat	Kaehler structures on toric varieties	1994	Victor Guillemin	2
+	The analysis of linear partial differential operators	1990	Lars Hörmander	2
+	Kato’s inequality and asymptotic spectral properties for discrete magnetic Laplacians	2006	Józef Dodziuk Varghese Mathai	2
+	A Survey on Spectra of infinite Graphs	1989	Bojan Mohar Wolfgang Woess	2
+	An Isoperimetric Inequality and the First Steklov Eigenvalue	1999	José F. Escobar	2
+	Averages of functions over hypersurfaces in ? n	1985	Christopher D. Sogge Elias M. Stein	2
+ PDF Chat	Some facts about functionals of location and scatter	2006	R. M. Dudley	2
+ PDF Chat	Redescending $M$-Estimates of Multivariate Location and Scatter	1991	John T. Kent David E. Tyler	2
+	A curious likelihood identity for the multivariate t-distribution	1994	John T. Kent David E. Tyler Yahuda. Vard	2
+	Remarks on the Zeros of Cross-Product Bessel Functions	1964	James Alan Cochran	2
+ PDF Chat	Spectrum of the 1-Laplacian and Cheeger's Constant on Graphs	2015	Kai‐Wei Chang	2
+	Spectral theory on S2: Some open questions	1981	Victor Guillemin	2
+	On functions of bounded mean oscillation	1961	Franklin John Louis Nirenberg	2
+ PDF Chat	Compactness of conformal metrics with integral bounds on curvature	1993	Matthew J. Gursky	2
+ PDF Chat	Band invariants for perturbations of the harmonic oscillator	2012	Victor Guillemin Alejandro Uribe Z. Wang	2
+	Sharp Sobolev Inequalities on the Sphere and the Moser--Trudinger Inequality	1993	William Beckner	2
+ PDF Chat	Elliptic Partial Differential Equations of Second Order	2001	David Gilbarg Neil S. Trudinger	2
+ PDF Chat	On the Breakdown Properties of Some Multivariate M-Functionals*	2005	Lutz Dümbgen David E. Tyler	2
+ PDF Chat	Bootstrapping General Empirical Measures	1990	Evarist Giné Joel Zinn	2
+ PDF Chat	Spectral determination of analytic bi-axisymmetric plane domains	2000	Steve Zelditch	2
+	The spectral density function of a toric variety	2007	D. Burns Victor Guillemin Alejandro Uribe	2
+	Some Local Measures of Complexity of Convex Hulls and Generalization Bounds	2002	Olivier Bousquet Vladimir Koltchinskii Dmitriy Panchenko	2
+ PDF Chat	Spaces of constant curvature	2010	Joseph A. Wolf	2
+ PDF Chat	Isospectral conformal metrics on 3-manifolds	1990	Sun‐Yung A. Chang Paul Yang	2