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Author ID: polterovich.iosif Recent zbMATH articles by "Polterovich, Iosif"
Published as: Polterovich, Iosif; Polterovich, I.
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Publications by Year

Citations contained in zbMATH Open

37 Publications have been cited 485 times in 310 Documents Cited by Year
Spectral geometry of the Steklov problem (survey article). Zbl 1378.58026
Girouard, Alexandre; Polterovich, Iosif
69
2017
The legacy of Vladimir Andreevich Steklov. Zbl 1322.01050
Kuznetsov, Nikolay; Kulczycki, Tadeusz; Kwaśnicki, Mateusz; Nazarov, Alexander; Poborchi, Sergey; Polterovich, Iosif; Siudeja, Bartłomiej
35
2014
On the Hersch-Payne-Schiffer inequalities for Steklov eigenvalues. Zbl 1217.35125
Girouard, A.; Polterovich, I.
33
2010
How large can the first eigenvalue be on a surface of genus two? Zbl 1114.58026
Jakobson, Dmitry; Levitin, Michael; Nadirashvili, Nikolai; Nigam, Nilima; Polterovich, Iosif
31
2005
Extremal metric for the first eigenvalue on a Klein bottle. Zbl 1104.58008
Jakobson, Dmitry; Nadirashvili, Nikolai; Polterovich, Iosif
27
2006
Maximization of the second positive Neumann eigenvalue for planar domains. Zbl 1186.35120
Girouard, Alexandre; Nadirashvili, Nikolai; Polterovich, Iosif
27
2009
Upper bounds for Steklov eigenvalues on surfaces. Zbl 1257.58019
Girouard, Alexandre; Polterovich, Iosif
23
2012
Shape optimization for low Neumann and Steklov eigenvalues. Zbl 1186.35121
Girouard, Alexandre; Polterovich, Iosif
20
2010
Explicit constructions of universal \(\mathbb R\)-trees and asymptotic geometry of hyperbolic spaces. Zbl 1058.53035
Dyubina, Anna; Polterovich, Iosif
17
2001
Pleijel’s nodal domain theorem for free membranes. Zbl 1162.35005
Polterovich, Iosif
17
2009
The Steklov spectrum of surfaces: asymptotics and invariants. Zbl 1317.58032
Girouard, Alexandre; Parnovski, Leonid; Polterovich, Iosif; Sher, David A.
16
2014
Heat invariants of the Steklov problem. Zbl 1432.58026
Polterovich, Iosif; Sher, David A.
16
2015
Spectral problems with mixed Dirichlet-Neumann boundary conditions: isospectrality and beyond. Zbl 1121.58027
Jakobson, Dmitry; Levitin, Michael; Nadirashvili, Nikolai; Polterovich, Iosif
14
2006
Regularized traces and Taylor expansions for the heat semigroup. Zbl 1167.35335
Hitrik, Michael; Polterovich, Iosif
14
2003
Eigenvalue inequalities for mixed Steklov problems. Zbl 1217.35127
Bañuelos, Rodrigo; Kulczycki, Tadeusz; Polterovich, Iosif; Siudeja, Bartłomiej
13
2010
Heat invariants of Riemannian manifolds. Zbl 0996.58019
Polterovich, Iosif
12
2000
Combinatorics of the heat trace on spheres. Zbl 1034.58022
Polterovich, Iosif
11
2002
Spectral geometry of the Steklov problem. Zbl 1375.49056
Girouard, Alexandre; Polterovich, Iosif
11
2017
Isospectral domains with mixed boundary conditions. Zbl 1089.58021
Levitin, Michael; Parnovski, Leonid; Polterovich, Iosif
10
2006
Multiplicity bounds for Steklov eigenvalues on Riemannian surfaces. (Bornes pour les multiplicités des valeurs propres de Steklov sur les surfaces riemanniennes.) Zbl 1321.58027
Karpukhin, Mikhail; Kokarev, Gerasim; Polterovich, Iosif
10
2014
Eigenvalue inequalities on Riemannian manifolds with a lower Ricci curvature bound. Zbl 1360.58023
Hassannezhad, Asma; Kokarev, Gerasim; Polterovich, Iosif
7
2016
An isoperimetric inequality for Laplace eigenvalues on the sphere. Zbl 1471.53056
Karpukhin, Mikhail; Nadirashvili, Nikolai; Penskoi, Alexei V.; Polterovich, Iosif
6
2021
Estimates from below for the spectral function and for the remainder in local Weyl’s law. Zbl 1161.58012
Jakobson, Dmitry; Polterovich, Iosif
6
2007
The Steklov spectrum of cuboids. Zbl 1408.35111
Girouard, Alexandre; Lagacé, Jean; Polterovich, Iosif; Savo, Alessandro
6
2019
Resolvent expansions and trace regularizations for Schrödinger operators. Zbl 1109.35030
Hitrik, Michael; Polterovich, Iosif
5
2003
A lower bound for the remainder in Weyl’s law on negatively curved surfaces. Zbl 1161.58010
Jakobson, Dmitry; Polterovich, Iosif; Toth, John A.
5
2008
Nodal length of Steklov eigenfunctions on real-analytic Riemannian surfaces. Zbl 1437.35182
Polterovich, Iosif; Sher, David A.; Toth, John A.
5
2019
Average growth of the spectral function on a Riemannian manifold. Zbl 1177.58020
Lapointe, Hugues; Polterovich, Iosif; Safarov, Yuri
4
2009
From Agmon-Kannai expansion to Korteweg-de Vries hierarchy. Zbl 0935.37036
Polterovich, Iosif
4
1999
Smooth billiards with a large Weyl remainder. Zbl 1404.35308
Eswarathasan, Suresh; Polterovich, Iosif; Toth, John A.
2
2016
Eigenvalues of a one-dimensional Dirac operator pencil. Zbl 1304.81079
Elton, Daniel M.; Levitin, Michael; Polterovich, Iosif
2
2014
Persistence barcodes and Laplace eigenfunctions on surfaces. Zbl 1420.58012
Polterovich, Iosif; Polterovich, Leonid; Stojisavljević, Vukašin
2
2019
Inverse Steklov spectral problem for curvilinear polygons. Zbl 1471.65187
Krymski, Stanislav; Levitin, Michael; Parnovski, Leonid; Polterovich, Iosif; Sher, David A.
1
2021
A commutator method for computation of heat invariants. Zbl 0980.58016
Polterovich, Iosif
1
2000
Inverse electrostatic and elasticity problems for checkered distributions. Zbl 1288.78007
Artemev, Andrei; Parnovski, Leonid; Polterovich, Iosif
1
2013
An asymptotic subcone of the Lobachevskij plane as a space of functions. Zbl 0923.54025
Polterovich, I.; Shnirel’man, A.
1
1997
Lower bounds for the spectral function and for the remainder in local Weyl’s law on manifolds. Zbl 1112.58033
Jakobson, Dmitry; Polterovich, Iosif
1
2005
An isoperimetric inequality for Laplace eigenvalues on the sphere. Zbl 1471.53056
Karpukhin, Mikhail; Nadirashvili, Nikolai; Penskoi, Alexei V.; Polterovich, Iosif
6
2021
Inverse Steklov spectral problem for curvilinear polygons. Zbl 1471.65187
Krymski, Stanislav; Levitin, Michael; Parnovski, Leonid; Polterovich, Iosif; Sher, David A.
1
2021
The Steklov spectrum of cuboids. Zbl 1408.35111
Girouard, Alexandre; Lagacé, Jean; Polterovich, Iosif; Savo, Alessandro
6
2019
Nodal length of Steklov eigenfunctions on real-analytic Riemannian surfaces. Zbl 1437.35182
Polterovich, Iosif; Sher, David A.; Toth, John A.
5
2019
Persistence barcodes and Laplace eigenfunctions on surfaces. Zbl 1420.58012
Polterovich, Iosif; Polterovich, Leonid; Stojisavljević, Vukašin
2
2019
Spectral geometry of the Steklov problem (survey article). Zbl 1378.58026
Girouard, Alexandre; Polterovich, Iosif
69
2017
Spectral geometry of the Steklov problem. Zbl 1375.49056
Girouard, Alexandre; Polterovich, Iosif
11
2017
Eigenvalue inequalities on Riemannian manifolds with a lower Ricci curvature bound. Zbl 1360.58023
Hassannezhad, Asma; Kokarev, Gerasim; Polterovich, Iosif
7
2016
Smooth billiards with a large Weyl remainder. Zbl 1404.35308
Eswarathasan, Suresh; Polterovich, Iosif; Toth, John A.
2
2016
Heat invariants of the Steklov problem. Zbl 1432.58026
Polterovich, Iosif; Sher, David A.
16
2015
The legacy of Vladimir Andreevich Steklov. Zbl 1322.01050
Kuznetsov, Nikolay; Kulczycki, Tadeusz; Kwaśnicki, Mateusz; Nazarov, Alexander; Poborchi, Sergey; Polterovich, Iosif; Siudeja, Bartłomiej
35
2014
The Steklov spectrum of surfaces: asymptotics and invariants. Zbl 1317.58032
Girouard, Alexandre; Parnovski, Leonid; Polterovich, Iosif; Sher, David A.
16
2014
Multiplicity bounds for Steklov eigenvalues on Riemannian surfaces. (Bornes pour les multiplicités des valeurs propres de Steklov sur les surfaces riemanniennes.) Zbl 1321.58027
Karpukhin, Mikhail; Kokarev, Gerasim; Polterovich, Iosif
10
2014
Eigenvalues of a one-dimensional Dirac operator pencil. Zbl 1304.81079
Elton, Daniel M.; Levitin, Michael; Polterovich, Iosif
2
2014
Inverse electrostatic and elasticity problems for checkered distributions. Zbl 1288.78007
Artemev, Andrei; Parnovski, Leonid; Polterovich, Iosif
1
2013
Upper bounds for Steklov eigenvalues on surfaces. Zbl 1257.58019
Girouard, Alexandre; Polterovich, Iosif
23
2012
On the Hersch-Payne-Schiffer inequalities for Steklov eigenvalues. Zbl 1217.35125
Girouard, A.; Polterovich, I.
33
2010
Shape optimization for low Neumann and Steklov eigenvalues. Zbl 1186.35121
Girouard, Alexandre; Polterovich, Iosif
20
2010
Eigenvalue inequalities for mixed Steklov problems. Zbl 1217.35127
Bañuelos, Rodrigo; Kulczycki, Tadeusz; Polterovich, Iosif; Siudeja, Bartłomiej
13
2010
Maximization of the second positive Neumann eigenvalue for planar domains. Zbl 1186.35120
Girouard, Alexandre; Nadirashvili, Nikolai; Polterovich, Iosif
27
2009
Pleijel’s nodal domain theorem for free membranes. Zbl 1162.35005
Polterovich, Iosif
17
2009
Average growth of the spectral function on a Riemannian manifold. Zbl 1177.58020
Lapointe, Hugues; Polterovich, Iosif; Safarov, Yuri
4
2009
A lower bound for the remainder in Weyl’s law on negatively curved surfaces. Zbl 1161.58010
Jakobson, Dmitry; Polterovich, Iosif; Toth, John A.
5
2008
Estimates from below for the spectral function and for the remainder in local Weyl’s law. Zbl 1161.58012
Jakobson, Dmitry; Polterovich, Iosif
6
2007
Extremal metric for the first eigenvalue on a Klein bottle. Zbl 1104.58008
Jakobson, Dmitry; Nadirashvili, Nikolai; Polterovich, Iosif
27
2006
Spectral problems with mixed Dirichlet-Neumann boundary conditions: isospectrality and beyond. Zbl 1121.58027
Jakobson, Dmitry; Levitin, Michael; Nadirashvili, Nikolai; Polterovich, Iosif
14
2006
Isospectral domains with mixed boundary conditions. Zbl 1089.58021
Levitin, Michael; Parnovski, Leonid; Polterovich, Iosif
10
2006
How large can the first eigenvalue be on a surface of genus two? Zbl 1114.58026
Jakobson, Dmitry; Levitin, Michael; Nadirashvili, Nikolai; Nigam, Nilima; Polterovich, Iosif
31
2005
Lower bounds for the spectral function and for the remainder in local Weyl’s law on manifolds. Zbl 1112.58033
Jakobson, Dmitry; Polterovich, Iosif
1
2005
Regularized traces and Taylor expansions for the heat semigroup. Zbl 1167.35335
Hitrik, Michael; Polterovich, Iosif
14
2003
Resolvent expansions and trace regularizations for Schrödinger operators. Zbl 1109.35030
Hitrik, Michael; Polterovich, Iosif
5
2003
Combinatorics of the heat trace on spheres. Zbl 1034.58022
Polterovich, Iosif
11
2002
Explicit constructions of universal \(\mathbb R\)-trees and asymptotic geometry of hyperbolic spaces. Zbl 1058.53035
Dyubina, Anna; Polterovich, Iosif
17
2001
Heat invariants of Riemannian manifolds. Zbl 0996.58019
Polterovich, Iosif
12
2000
A commutator method for computation of heat invariants. Zbl 0980.58016
Polterovich, Iosif
1
2000
From Agmon-Kannai expansion to Korteweg-de Vries hierarchy. Zbl 0935.37036
Polterovich, Iosif
4
1999
An asymptotic subcone of the Lobachevskij plane as a space of functions. Zbl 0923.54025
Polterovich, I.; Shnirel’man, A.
1
1997
all top 5

Cited by 347 Authors

15 Girouard, Alexandre
13 Helffer, Bernard
13 Karpukhin, Mikhail A.
13 Polterovich, Iosif
10 Colbois, Bruno
10 Laugesen, Richard Snyder
9 Yu, Chengjie
7 El Soufi, Ahmad
7 Osting, Braxton
6 Awonusika, Richard Olu
6 Lagacé, Jean
6 Siudeja, Bartłomiej Andrzej
5 Bérard, Pierre H.
5 Bucur, Dorin
5 Cho, Manki
5 Fraser, Ailana M.
5 Gittins, Katie
5 Jakobson, Dmitry
5 Kao, Chiu-Yen
5 Kirsten, Klaus
5 Penskoi, Alexei V.
5 Schoen, Richard Melvin
5 Shi, Yongjie
4 Antunes, Pedro Ricardo Simão
4 Band, Ram
4 Bogoşel, Beniamin
4 Hassannezhad, Asma
4 Lee, Yoonweon
4 Parnovski, Leonid
4 Taheri, Ali
4 van den Berg, Michiel
4 Wang, Zuoqin
3 Bobkov, Vladimir E.
3 Freitas, Pedro
3 Henrot, Antoine
3 Ho, Pak Tung
3 Jammes, Pierre
3 Kokarev, Gerasim
3 Lamberti, Pier Domenico
3 Léna, Corentin
3 Levitin, Michael R.
3 Nadirashvili, Nikolai S.
3 Provenzano, Luigi
3 Sapir, Mark Valentinovich
3 Sher, David A.
3 Shterenberg, Roman G.
3 Stepin, Stanislav A.
3 Verma, Sheela
3 Viator, Robert Jr.
3 Wang, Weiwei
3 Zhu, Jiuyi
2 Alhejaili, Weaam
2 Andreev, Pavel Dmitrievich
2 Anoop, Thazhe Veetil
2 Auchmuty, Giles
2 Berestovskiĭ, Valeriĭ Nikolaevich
2 Berkolaiko, Gregory
2 Bonnaillie-Noël, Virginie
2 Bulygin, Alekseĭ Ivanovich
2 Canzani, Yaiza
2 Charron, Philippe
2 Cianci, Donato
2 Domínguez, Sebastián
2 Dryden, Emily B.
2 Enache, Cristian
2 Ferrero, Alberto
2 Galkowski, Jeffrey
2 Gendron, Germain
2 Giacomini, Alessandro
2 Gilkey, Peter B.
2 Guo, Jingwei
2 Hua, Bobo
2 Ilias, Saïd
2 Kleefeld, Andreas
2 Lapointe, Hugues
2 Lin, Fang Hua
2 Liu, Genqian
2 Métras, Antoine
2 Nazarov, Sergeĭ Aleksandrovich
2 Nicoleau, François
2 Nigam, Nilima
2 Perrin, Hélène
2 Sundqvist, Mikael Persson
2 Petrides, Romain
2 Philippin, Gérard A.
2 Rivas, Mauricio A.
2 Rowlett, Julie
2 Siffert, Anna
2 Sogge, Christopher D.
2 Steinerberger, Stefan
2 Sun, Jiguang
2 Toth, John Andrew
2 Wigman, Igor
2 Xiong, Changwei
2 Yang, Liangwei
1 Abele, Daniel
1 Adler, Vsevolod Eduardovich
1 Akhmetgaliyev, Eldar
1 Al Sayed, Abdelkader
1 Ammari, Habib M.
...and 247 more Authors
all top 5

Cited in 135 Serials

17 The Journal of Geometric Analysis
13 Calculus of Variations and Partial Differential Equations
11 Journal of Spectral Theory
9 Journal of Functional Analysis
9 Proceedings of the American Mathematical Society
7 Journal of Mathematical Analysis and Applications
7 Journal of Mathematical Physics
7 Advances in Mathematics
7 Mathematische Zeitschrift
6 Communications in Mathematical Physics
6 Journal of Computational and Applied Mathematics
6 Journal of Differential Equations
6 Transactions of the American Mathematical Society
6 SIAM Journal on Mathematical Analysis
5 Annales de l’Institut Fourier
5 Geometric and Functional Analysis. GAFA
4 Letters in Mathematical Physics
4 Canadian Journal of Mathematics
4 Functional Analysis and its Applications
4 Inventiones Mathematicae
4 Annals of Global Analysis and Geometry
4 Differential Geometry and its Applications
4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
3 Mathematical Methods in the Applied Sciences
3 Indiana University Mathematics Journal
3 Journal of Scientific Computing
3 Communications in Partial Differential Equations
3 The Journal of Analysis
3 Annales Henri Poincaré
3 Annales Mathématiques du Québec
2 Archive for Rational Mechanics and Analysis
2 Computers & Mathematics with Applications
2 Israel Journal of Mathematics
2 Journal d’Analyse Mathématique
2 Journal of Geometry and Physics
2 Bulletin of the London Mathematical Society
2 Canadian Mathematical Bulletin
2 Journal of Differential Geometry
2 Manuscripta Mathematica
2 Mathematische Nachrichten
2 Mathematika
2 Monatshefte für Mathematik
2 SIAM Journal on Control and Optimization
2 International Journal of Algebra and Computation
2 The Journal of Fourier Analysis and Applications
2 Communications in Contemporary Mathematics
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Proceedings of the Steklov Institute of Mathematics
2 Groups, Geometry, and Dynamics
2 Journal of Modern Dynamics
2 Research in the Mathematical Sciences
2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 International Journal of Modern Physics A
1 International Journal of Theoretical Physics
1 Journal of Computational Physics
1 Journal of Engineering Mathematics
1 Nonlinearity
1 Physics Letters. A
1 Reports on Mathematical Physics
1 Rocky Mountain Journal of Mathematics
1 Theoretical and Mathematical Physics
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Chaos, Solitons and Fractals
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Applied Mathematics and Computation
1 Applied Mathematics and Optimization
1 Archiv der Mathematik
1 Compositio Mathematica
1 Duke Mathematical Journal
1 Integral Equations and Operator Theory
1 Journal of the Mathematical Society of Japan
1 Journal of Optimization Theory and Applications
1 Journal für die Reine und Angewandte Mathematik
1 The Journal of Symbolic Logic
1 Mathematische Annalen
1 Memoirs of the American Mathematical Society
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Numerical Functional Analysis and Optimization
1 Numerische Mathematik
1 Results in Mathematics
1 Siberian Mathematical Journal
1 Transactions of the Moscow Mathematical Society
1 Topology and its Applications
1 ACM Transactions on Graphics
1 Asymptotic Analysis
1 International Journal of Computer Mathematics
1 SIAM Journal on Applied Mathematics
1 Russian Mathematics
1 Experimental Mathematics
1 Potential Analysis
1 SIAM Journal on Scientific Computing
1 Applied and Computational Harmonic Analysis
1 Journal of Mathematical Sciences (New York)
1 Electronic Journal of Differential Equations (EJDE)
1 Journal of the Egyptian Mathematical Society
1 Turkish Journal of Mathematics
1 Engineering Analysis with Boundary Elements
1 Electronic Research Announcements of the American Mathematical Society
1 Matematychni Metody ta Fizyko-Mekhanichni Polya
1 Documenta Mathematica
...and 35 more Serials
all top 5

Cited in 42 Fields

204 Partial differential equations (35-XX)
128 Global analysis, analysis on manifolds (58-XX)
41 Differential geometry (53-XX)
33 Calculus of variations and optimal control; optimization (49-XX)
28 Numerical analysis (65-XX)
21 Operator theory (47-XX)
18 Quantum theory (81-XX)
14 Group theory and generalizations (20-XX)
12 Special functions (33-XX)
11 Combinatorics (05-XX)
10 Mechanics of deformable solids (74-XX)
9 Functions of a complex variable (30-XX)
9 Ordinary differential equations (34-XX)
9 General topology (54-XX)
8 Number theory (11-XX)
8 Dynamical systems and ergodic theory (37-XX)
7 Manifolds and cell complexes (57-XX)
6 Measure and integration (28-XX)
5 Topological groups, Lie groups (22-XX)
5 Real functions (26-XX)
5 Several complex variables and analytic spaces (32-XX)
4 Mathematical logic and foundations (03-XX)
4 Linear and multilinear algebra; matrix theory (15-XX)
4 Potential theory (31-XX)
4 Functional analysis (46-XX)
4 Convex and discrete geometry (52-XX)
4 Probability theory and stochastic processes (60-XX)
4 Computer science (68-XX)
4 Fluid mechanics (76-XX)
4 Optics, electromagnetic theory (78-XX)
3 Algebraic geometry (14-XX)
3 Difference and functional equations (39-XX)
2 Approximations and expansions (41-XX)
2 Statistical mechanics, structure of matter (82-XX)
2 Operations research, mathematical programming (90-XX)
2 Biology and other natural sciences (92-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Integral equations (45-XX)
1 Geometry (51-XX)
1 Algebraic topology (55-XX)
1 Statistics (62-XX)

Citations by Year

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