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## Gurarie, David

Compute Distance To:
 Author ID: gurarie.david Published as: Gurarie, D.; Gurarie, David External Links: ORCID
 Documents Indexed: 43 Publications since 1980, including 2 Books
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#### Co-Authors

 27 single-authored 5 Klyatskin, Valery I. 4 Kon, Mark A. 3 Woyczynski, Wojbor A. 1 Chow, Kwok Wing 1 Danilov, Sergey 1 Fitzmaurice, N. 1 Gesztesy, Fritz 1 Gryanik, N. V. 1 Holden, Helge 1 Kalisch, Gerhard K. 1 King, C. H. 1 Klaus, Martin 1 Landesman, Edward M. 1 McCaughan, F. E. 1 McKenzie, F. Ellis 1 Mishnaevskij, P. A. 1 Sadun, L. 1 Simon, Barry 1 Vogl, Peter 1 Zimmerman, P. A.
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#### Serials

 3 Communications in Mathematical Physics 3 Journal of Operator Theory 2 Inverse Problems 2 Journal of Mathematical Physics 2 Journal of Functional Analysis 2 Physica D 2 Physics of Fluids 1 Computers & Mathematics with Applications 1 Journal of Mathematical Analysis and Applications 1 Journal of Statistical Physics 1 Letters in Mathematical Physics 1 Mathematical Biosciences 1 Wave Motion 1 International Journal of Mathematics and Mathematical Sciences 1 Integral Equations and Operator Theory 1 Journal of Differential Equations 1 Transactions of the American Mathematical Society 1 Bulletin of the American Mathematical Society. New Series 1 North-Holland Mathematics Studies 1 Journal of Theoretical Biology 1 Progress in Nonlinear Differential Equations and Their Applications
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#### Fields

 23 Partial differential equations (35-XX) 10 Operator theory (47-XX) 8 Fluid mechanics (76-XX) 5 Topological groups, Lie groups (22-XX) 5 Global analysis, analysis on manifolds (58-XX) 5 Quantum theory (81-XX) 4 Functional analysis (46-XX) 4 Geophysics (86-XX) 3 Abstract harmonic analysis (43-XX) 3 Differential geometry (53-XX) 2 Ordinary differential equations (34-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Probability theory and stochastic processes (60-XX) 2 Biology and other natural sciences (92-XX) 1 General and overarching topics; collections (00-XX) 1 Nonassociative rings and algebras (17-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX)

#### Citations contained in zbMATH Open

32 Publications have been cited 129 times in 107 Documents Cited by Year
Trapping and cascading of eigenvalues in the large coupling limit. Zbl 0669.35085
Gesztesy, F.; Gurarie, D.; Holden, H.; Klaus, M.; Sadun, L.; Simon, B.; Vogl, P.
1988
Symmetries and Laplacians. Introduction to harmonic analysis, group representations and applications. Zbl 0787.22001
Gurarie, David
1992
Vortex arrays for sinh-Poisson equation of two-dimensional fluids: equilibria and stability. Zbl 1187.76196
Gurarie, D.; Chow, K. W.
2004
Zonal Schrödinger operators on the $$n$$-sphere: Inverse spectral problem and rigidity. Zbl 0798.34085
Gurarie, David
1990
Asymptotic inverse spectral problem for anharmonic oscillators. Zbl 0637.35065
Gurarie, David
1987
Radial bounds for perturbations of elliptic operators. Zbl 0538.35028
Gurarie, David; Kon, Mark A.
1984
Scaling, spectra and zonal jets in beta-plane turbulence. Zbl 1186.76124
Danilov, Sergey; Gurarie, David
2004
Asymptotic inverse spectral problem for anharmonic oscillators with odd potentials. Zbl 0676.35083
Gurarie, David
1989
Nonclassical eigenvalue asymptotics for operators of Schrödinger type. Zbl 0628.35076
Gurarie, David
1986
Semiclassical eigenvalues and shape problems on surfaces of revolution. Zbl 0826.58041
Gurarie, David
1995
$$L^ p$$ and spectral theory for a class of global elliptic operators. Zbl 0687.35061
Gurarie, David
1988
Random topography in geophysical models. Zbl 0867.60087
Klyatskin, V.; Gurarie, D.
1997
Diffusing passive tracers in random incrompressible flows: statistical topography aspects. Zbl 1260.76031
Klyatskin, V. I.; Woyczynski, W. A.; Gurarie, D.
1996
Inverse spectral problem for the 2-sphere Schrödinger operators with zonal potentials. Zbl 0693.35124
Gurarie, David
1988
Kernels of elliptic operators: bounds and summability. Zbl 0502.35038
Gurarie, David
1984
Banach uniformly continuous representations of Lie groups and algebras. Zbl 0434.22005
Gurarie, David
1980
Equilibrium states for quasigeostrophic flows with random topography. Zbl 1039.86503
Klyatskin, V.; Gurarie, D.
1996
Quantized Neumann problem, separable potentials on $$\mathbb{S}^ n$$ and the Lamè equation. Zbl 0843.35067
Gurarie, David
1995
Symmetries and conservation laws of two-dimensional hydrodynamics. Zbl 0835.76015
Gurarie, David
1995
On $$L^ p$$-domains of fractional powers of singular elliptic operators and Kato’s conjecture. Zbl 0827.47010
Gurarie, David
1992
2-sphere Schrödinger operators with odd potentials. Zbl 0728.35028
Gurarie, David
1990
On $$L^ p$$-spectrum of elliptic operators. Zbl 0596.35098
Gurarie, David
1985
Finite propagation speed and kernels of strictly elliptic operators. Zbl 0578.47039
Gurarie, David
1985
Resolvents and regularity properties of elliptic operators. Zbl 0528.35031
Gurarie, David; Kon, Mark A.
1983
Propagation and localization of Rossby waves over random topography (two-layer model). Zbl 1074.76533
Klyatskin, V. I.; Gryanik, N. V.; Gurarie, D.
1998
Spectral geometry in higher ranks: Closed geodesics and flat tori. Zbl 0795.58037
Gurarie, David
1993
Multiparameter averaging and inverse spectral problem for anharmonic oscillators in $$\mathbb{R}{}^ n$$. Zbl 0756.35115
Gurarie, David
1991
Averaging methods in spectral theory of Schrödinger operators. Zbl 0661.35065
Gurarie, D.
1988
Resolvent and heat kernels for operators of Schrödinger type with applications to spectral theory. Zbl 0562.35063
Gurarie, David
1984
A transitive Banach *-algebra of compact operators with no nontrivial projections. Zbl 0506.46042
Gurarie, David
1983
Burnside type theorems for Banach representations of motion groups and algebras. Zbl 0553.22002
Gurarie, David
1981
Harmonic analysis based on crossed product algebras and motion groups. Zbl 0432.46048
Gurarie, David
1980
Vortex arrays for sinh-Poisson equation of two-dimensional fluids: equilibria and stability. Zbl 1187.76196
Gurarie, D.; Chow, K. W.
2004
Scaling, spectra and zonal jets in beta-plane turbulence. Zbl 1186.76124
Danilov, Sergey; Gurarie, David
2004
Propagation and localization of Rossby waves over random topography (two-layer model). Zbl 1074.76533
Klyatskin, V. I.; Gryanik, N. V.; Gurarie, D.
1998
Random topography in geophysical models. Zbl 0867.60087
Klyatskin, V.; Gurarie, D.
1997
Diffusing passive tracers in random incrompressible flows: statistical topography aspects. Zbl 1260.76031
Klyatskin, V. I.; Woyczynski, W. A.; Gurarie, D.
1996
Equilibrium states for quasigeostrophic flows with random topography. Zbl 1039.86503
Klyatskin, V.; Gurarie, D.
1996
Semiclassical eigenvalues and shape problems on surfaces of revolution. Zbl 0826.58041
Gurarie, David
1995
Quantized Neumann problem, separable potentials on $$\mathbb{S}^ n$$ and the Lamè equation. Zbl 0843.35067
Gurarie, David
1995
Symmetries and conservation laws of two-dimensional hydrodynamics. Zbl 0835.76015
Gurarie, David
1995
Spectral geometry in higher ranks: Closed geodesics and flat tori. Zbl 0795.58037
Gurarie, David
1993
Symmetries and Laplacians. Introduction to harmonic analysis, group representations and applications. Zbl 0787.22001
Gurarie, David
1992
On $$L^ p$$-domains of fractional powers of singular elliptic operators and Kato’s conjecture. Zbl 0827.47010
Gurarie, David
1992
Multiparameter averaging and inverse spectral problem for anharmonic oscillators in $$\mathbb{R}{}^ n$$. Zbl 0756.35115
Gurarie, David
1991
Zonal Schrödinger operators on the $$n$$-sphere: Inverse spectral problem and rigidity. Zbl 0798.34085
Gurarie, David
1990
2-sphere Schrödinger operators with odd potentials. Zbl 0728.35028
Gurarie, David
1990
Asymptotic inverse spectral problem for anharmonic oscillators with odd potentials. Zbl 0676.35083
Gurarie, David
1989
Trapping and cascading of eigenvalues in the large coupling limit. Zbl 0669.35085
Gesztesy, F.; Gurarie, D.; Holden, H.; Klaus, M.; Sadun, L.; Simon, B.; Vogl, P.
1988
$$L^ p$$ and spectral theory for a class of global elliptic operators. Zbl 0687.35061
Gurarie, David
1988
Inverse spectral problem for the 2-sphere Schrödinger operators with zonal potentials. Zbl 0693.35124
Gurarie, David
1988
Averaging methods in spectral theory of Schrödinger operators. Zbl 0661.35065
Gurarie, D.
1988
Asymptotic inverse spectral problem for anharmonic oscillators. Zbl 0637.35065
Gurarie, David
1987
Nonclassical eigenvalue asymptotics for operators of Schrödinger type. Zbl 0628.35076
Gurarie, David
1986
On $$L^ p$$-spectrum of elliptic operators. Zbl 0596.35098
Gurarie, David
1985
Finite propagation speed and kernels of strictly elliptic operators. Zbl 0578.47039
Gurarie, David
1985
Radial bounds for perturbations of elliptic operators. Zbl 0538.35028
Gurarie, David; Kon, Mark A.
1984
Kernels of elliptic operators: bounds and summability. Zbl 0502.35038
Gurarie, David
1984
Resolvent and heat kernels for operators of Schrödinger type with applications to spectral theory. Zbl 0562.35063
Gurarie, David
1984
Resolvents and regularity properties of elliptic operators. Zbl 0528.35031
Gurarie, David; Kon, Mark A.
1983
A transitive Banach *-algebra of compact operators with no nontrivial projections. Zbl 0506.46042
Gurarie, David
1983
Burnside type theorems for Banach representations of motion groups and algebras. Zbl 0553.22002
Gurarie, David
1981
Banach uniformly continuous representations of Lie groups and algebras. Zbl 0434.22005
Gurarie, David
1980
Harmonic analysis based on crossed product algebras and motion groups. Zbl 0432.46048
Gurarie, David
1980
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#### Cited by 156 Authors

 11 Gurarie, David 4 Klyatskin, Valery I. 4 Rybicki, Sławomir Maciej 3 Duan, Jinqiao 3 Hempel, Rainer 3 Kon, Mark A. 3 Levendorskiĭ, Sergeĭ Zakharovich 3 Pelayo, Alvaro 3 Raphael, Louise A. 3 Stefaniak, Piotr 2 Ahmad, Fayyaz 2 Barbatis, Gerassimos 2 Berloff, Pavel S. 2 Brannan, James R. 2 Carrasco, Juan Antonio 2 Chirikjian, Gregory S. 2 Gołȩbiewska, Anna 2 Kamenkovich, I. 2 Korotyaev, Evgeny L. 2 Kyatkin, Alexander B. 2 Simon, Barry 2 Tagmouti, Mohamed Ali 2 Tepper Haimo, Deborah 2 Tohidi, Emran 2 Vũ Ngọc, San 2 Zayed, Ahmed I. 1 Aarab, Ilias 1 Afgoustidis, Alexandre 1 Agbanusi, Ikemefuna Chukwuemeka 1 Alama, Stan 1 Aldrovandi, Ruben 1 Arakelian Raphael, Louise 1 Badin, Gualtiero 1 Bai, Liang 1 Balk, Alexander M. 1 BelHadjAli, Hichem 1 Ben Amor, Ali 1 Bhattacharyya, Sati Nath 1 Bouchet, Freddy 1 Boyarchenko, Mitya 1 Boyarchenko, Svetlana I. 1 Brasche, Johannes Friedemann 1 Chasman, L. Mercredi 1 Chelkak, Dmitry 1 Chen, Huyuan 1 Chen, Lung-Hui 1 Chua, Kok Seng 1 Chung, Jooyeon 1 Conti, Giovanni 1 Craddock, Mark 1 Davidson, Kenneth R. 1 Deift, Percy A. 1 Dittrich, Jaroslav 1 Douglas, Michael R. 1 Elton, Daniel M. 1 Ervin, Vincent J. 1 Exner, Pavel 1 Fanelli, Luca 1 Farrar, J. T. 1 Fassari, Silvestro 1 Felli, Veronica 1 Fontelos López, Marco Antonio 1 Frank, Rupert L. 1 Ganguly, Asish 1 Gomes, José Nazareno Vieira 1 Grácio, Clara 1 Gryanik, N. V. 1 Guo, Jingwei 1 Haller, George 1 Herrero, Domingo Antonio 1 Huang, Fei 1 Hundertmark, Dirk 1 Isaacson, Samuel A. 1 Isozaki, Hiroshi 1 Jia, Man 1 Johannessen, Kim 1 Kaniuth, Eberhard 1 Karabasov, Sergey A. 1 Kargaev, Pavel Petrovich 1 Khanmamedov, Agil Khanmamed ogly 1 Klaus, Martin 1 Klimsiak, Tomasz 1 Klopp, Frédéric 1 Kluczenko, Joanna 1 Körner, Carolin 1 Kulik, Konstantin 1 Küng, Vera E. 1 Lapidus, Michel L. 1 Le Floch, Yohann 1 Lennox, Kelly A. 1 Levendovskij, Serge Z. 1 Levitin, Michael R. 1 López Garza, Gabriel 1 Lou, Senyue 1 Luminet, Denis 1 Markl, Matthias 1 Marrocos, Marcus A. M. 1 Masmaliev, G. M. 1 Mazzucato, Anna L. 1 Miyazaki, Takeshi ...and 56 more Authors
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#### Cited in 53 Serials

 9 Journal of Mathematical Analysis and Applications 7 Communications in Mathematical Physics 7 Journal of Mathematical Physics 7 Journal of Differential Equations 6 Journal of Functional Analysis 5 Physica D 3 Computers & Mathematics with Applications 3 Journal of Fluid Mechanics 3 Communications in Partial Differential Equations 3 Physics of Fluids 2 Applicable Analysis 2 International Journal of Theoretical Physics 2 Journal of Statistical Physics 2 Theoretical and Mathematical Physics 2 Wave Motion 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Proceedings of the American Mathematical Society 2 Calculus of Variations and Partial Differential Equations 2 Russian Journal of Mathematical Physics 2 The Journal of Fourier Analysis and Applications 1 Modern Physics Letters A 1 International Journal of Engineering Science 1 Letters in Mathematical Physics 1 Mathematical Notes 1 Bulletin of Mathematical Biology 1 Journal of Geometry and Physics 1 Annales de l’Institut Fourier 1 Applied Mathematics and Computation 1 Duke Mathematical Journal 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Monatshefte für Mathematik 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Results in Mathematics 1 Transactions of the American Mathematical Society 1 Mathematical and Computer Modelling 1 The Journal of Geometric Analysis 1 Numerical Algorithms 1 Bulletin of the American Mathematical Society. New Series 1 Expositiones Mathematicae 1 Annales de l’Institut Henri Poincaré. Physique Théorique 1 Indagationes Mathematicae. New Series 1 Nuclear Physics, B, Proceedings Supplements 1 Applied and Computational Harmonic Analysis 1 Abstract and Applied Analysis 1 Mathematical Physics, Analysis and Geometry 1 Regular and Chaotic Dynamics 1 Annales Henri Poincaré 1 Journal of Hyperbolic Differential Equations 1 International Journal of Differential Equations 1 Journal of Pseudo-Differential Operators and Applications 1 The Journal of Mathematical Neuroscience 1 Cogent Mathematics
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#### Cited in 30 Fields

 53 Partial differential equations (35-XX) 23 Quantum theory (81-XX) 20 Operator theory (47-XX) 17 Fluid mechanics (76-XX) 14 Ordinary differential equations (34-XX) 8 Geophysics (86-XX) 7 Dynamical systems and ergodic theory (37-XX) 6 Topological groups, Lie groups (22-XX) 6 Abstract harmonic analysis (43-XX) 6 Global analysis, analysis on manifolds (58-XX) 5 Differential geometry (53-XX) 5 Mechanics of particles and systems (70-XX) 4 Numerical analysis (65-XX) 3 Special functions (33-XX) 3 Functional analysis (46-XX) 3 Probability theory and stochastic processes (60-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Integral transforms, operational calculus (44-XX) 2 Biology and other natural sciences (92-XX) 1 Number theory (11-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Nonassociative rings and algebras (17-XX) 1 Measure and integration (28-XX) 1 Difference and functional equations (39-XX) 1 Geometry (51-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX) 1 Information and communication theory, circuits (94-XX)