Ari Laptev

Q: What Schools Are Affiliated With Ari Laptev

Ari Laptev is affiliated with the following schools: Imperial College London, ETH Zurich, KTH Royal Institute of Technology, Siberian Federal University, Saint Petersburg State University

Ari Laptev's AcademicInfluence.com Rankings

Ari Laptev

Mathematics

#1914

World Rank

#3038

Historical Rank

Measure Theory

#3385

World Rank

#3997

Historical Rank

mathematics Degrees

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Mathematics

Why Is Ari Laptev Influential?

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According to Wikipedia, Ari Laptev is a mathematician working on the spectral theory of partial differential equations. His PhD was obtained in 1978 at Leningrad State University under the supervision of Michael Solomyak. He is currently Professor at both the KTH in Stockholm and Imperial College London. From 2001 to 2003 Laptev served as the President of the Swedish Mathematical Society.

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Ari Laptev's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Sharp Lieb-Thirring inequalities in high dimensions (1999) (183)
Dirichlet and Neumann Eigenvalue Problems on Domains in Euclidean Spaces (1997) (174)
Hardy inequalities for magnetic Dirichlet forms (1999) (153)
A Geometrical Version of Hardy's Inequality (2002) (110)
Recent results on Lieb-Thirring inequalities (2000) (109)
Eigenvalue Estimates for Schrödinger Operators with Complex Potentials (2009) (108)
Analysis and applications (2010) (106)
Lieb–Thirring Inequalities for Schrödinger Operators with Complex-valued Potentials (2006) (105)
ABSOLUTELY CONTINUOUS SPECTRUM OF JACOBI MATRICES (2007) (96)
New bounds on the Lieb-Thirring constants (1999) (76)
Lieb-Thirring inequalities with improved constants (2007) (71)
THE NEGATIVE DISCRETE SPECTRUM OF A TWO-DIMENSIONAL SCHRODINGER OPERATOR (1996) (66)
Many‐particle Hardy inequalities (2006) (54)
On the number of eigenvalues of Schrödinger operators with complex potentials (2016) (51)
Geometrical Versions of improved Berezin-Li-Yau Inequalities (2010) (50)
Eigenvalue Estimates for Non-Selfadjoint Dirac Operators on the Real Line (2012) (49)
One‐dimensional Gagliardo–Nirenberg–Sobolev inequalities: remarks on duality and flows (2013) (49)
Absolutely Continuous Spectrum of Schrödinger Operators with Slowly Decaying and Oscillating Potentials (2005) (47)
Around the Research of Vladimir Maz'ya III (2010) (47)
Szegö Type Limit Theorems (1996) (47)
On New Relations Between Spectral Properties of Jacobi Matrices and Their Coefficients (2003) (46)
On Global Representation of Lagrangian Distributions and Solutions of Hyperbolic Equations (1994) (43)
Generalized Hardy Inequality for the Magnetic Dirichlet Forms (2004) (38)
GLOBAL FOURIER INTEGRAL OPERATORS AND SEMICLASSICAL ASYMPTOTICS (2000) (36)
Weyl Type Asymptotics and Bounds for the Eigenvalues of Functional-Difference Operators for Mirror Curves (2015) (34)
Spectral estimates on the sphere (2013) (34)
Nonlinear eigenvalues and analytic hypoellipticity (2002) (32)
Functional Analysis and Operator Theory for Quantum Physics (2017) (32)
Hardy Inequalities for Nonconvex Domains (2010) (31)
Discrete spectrum of the perturbed Dirac operator (1994) (28)
Hardy inequalities for robin laplacians (2011) (28)
Hardy inequalities for simply connected planar domains (2006) (27)
On the negative eigenvalues of a class of Schrödinger operators (1999) (24)
A sharp bound on eigenvalues of Schroedinger operators on the halfline with complex-valued potentials (2009) (24)
Solitons and the removal of eigenvalues for fourth-order differential operators (2006) (21)
Groups and Analysis: Sharp spectral inequalities for the Heisenberg Laplacian (2008) (21)
A Szegő condition for a multidimensional Schrödinger operator (2005) (20)
On spectral estimates for two-dimensional Schrodinger operators (2012) (19)
On the Negative Spectrum of the Two-Dimensional Schrödinger Operator with Radial Potential (2012) (19)
On the Eigenvalue Behaviour for a Class of Differential Operators on Semiaxis (1998) (18)
Trace formulae for Schrödinger operators with complex-valued potentials on cubic lattices (2016) (18)
Hardy inequalities for p-Laplacians with Robin boundary conditions (2014) (18)
Spectral asymptotic behavior of a class of integral operators (1974) (16)
Spectral properties of Schr\"odinger operators on compact manifolds: rigidity, flows, interpolation and spectral estimates (2013) (16)
Spectral inequalities for Schrödinger operators with surface potentials (2007) (15)
Bound State Asymptotics for Elliptic Operators with Strongly Degenerated Symbols (2002) (15)
One-Dimensional Interpolation Inequalities, Carlson–Landau Inequalities, and Magnetic Schrödinger Operators (2015) (14)
On Some Sharp Spectral Inequalities for Schrödinger Operators on Semiaxis (2013) (13)
A GENERALIZATION OF THE BEREZIN-LIEB INEQUALITY (1996) (13)
On the Lieb-Thirring conjecture for a class of potentials (1999) (13)
Inequalities between Dirichlet and Neumann Eigenvalues on the Heisenberg Group (2009) (12)
Eigenvalue estimates for magnetic Schrödinger operators in domains (2007) (12)
Sharp bounds for eigenvalues of biharmonic operators with complex potentials in low dimensions (2019) (11)
On continuous and discrete Hardy inequalities (2016) (10)
HARDY INEQUALITIES WITH HOMOGENEOUS WEIGHTS (2015) (10)
Methods of Spectral Analysis in Mathematical Physics : Conference on Operator Theory, Analysis and Mathematical Physics (OTAMP) 2006, Lund, Sweden (2009) (9)
Spectral properties of the logarithmic Laplacian (2020) (9)
Magnetic rings (2018) (9)
Schrödinger Operators: Eigenvalues and Lieb–Thirring Inequalities (2022) (8)
On Inequalities for the Bound States of Schrödinger Operators (1995) (8)
Lieb–Thirring constant on the sphere and on the torus (2020) (8)
Remarks on the paper of V. Guillemin and K. Okikiolu: “Subprincipal terms in Szegö estimates” (1998) (8)
On the negative spectrum of two-dimensional Schr\ (2011) (8)
Bound on the number of negative eigenvalues of two-dimensional Schrödinger operators on domains (2017) (8)
Eigenvalue bounds of mixed Steklov problems (2017) (8)
Finding Eigenvalues and Eigenfunctions of the Zaremba Problem for the Circle (2017) (8)
Hardy inequalities with homogenuous weights (2014) (7)
The Negative Spectrum of a Class of Two-Dimensional Schrödinger Operators with Potentials Depending Only on Radius (2000) (7)
Follytons and the Removal of Eigenvalues for Fourth Order Differential Operators (2003) (7)
Spectral Theory and Analysis : Conference on Operator Theory, Analysis and Mathematical Physics (OTAMP) 2008, Bedlewo, Poland (2011) (7)
Interpolation Inequalities and Spectral Estimates for Magnetic Operators (2017) (7)
A bound for the eigenvalue counting function for Krein--von Neumann and Friedrichs extensions (2016) (7)
The negative discrete spectrum of the operator (-τ)l -αV inL2(Rd) ford even and 2l≥dinL2(Rd) ford even and 2l≥d (1997) (6)
Lieb-Thirring inequalities on the torus (2015) (6)
Spectral enclosures and stability for non‐self‐adjoint discrete Schrödinger operators on the half‐line (2021) (6)
Hardy inequalities for a magnetic Grushin operator with Aharonov–Bohm type magnetic field (2012) (6)
Hardy inequalities for Landau Hamiltonian and for Baouendi-Grushin operator with Aharonov-Bohm type magnetic field. Part I (2017) (6)
On the improvement of the Hardy inequality due to singular magnetic fields (2018) (6)
Error estimate in the generalized Szegö theorem (1991) (5)
Inverse spectral problems for Schrodinger operators with energy depending potentials (2007) (5)
ГИДРАВЛИЧЕСКИЕ ХАРАКТЕРИСТИКИ ХАОТИЧНОЙ НАСАДКИ «ИНЖЕХИМ» ДЛЯ КОНТАКТА ГАЗА И ЖИДКОСТИ (2018) (5)
Eigenvalues of the bilayer graphene operator with a complex valued potential (2016) (5)
Lieb–Thirring inequalities on the sphere (2018) (5)
Symmetry Results in Two-Dimensional Inequalities for Aharonov–Bohm Magnetic Fields (2019) (5)
An Improved One-Dimensional Hardy Inequality (2022) (4)
On the Lieb-Thirring Constant on the Torus (2019) (4)
Reflectionless potentials for an ordinary differential operator of order four (2006) (4)
Perturbations of embedded eigenvalues for a magnetic Schrödinger operator on a cylinder (2017) (4)
Berezin–Li–Yau inequalities on domains on the sphere (2017) (4)
Asymptotics of the negative discrete spectrum of a class of Schrödinger operators with large coupling constant (1993) (4)
Around the Research of Vladimir Maz'ya II : Partial Differential Equations (2010) (4)
Trace formulas for a discrete Schrödinger operator (2017) (3)
Operator Methods in Mathematical Physics (2013) (3)
The negative discrete spectrum of a class of two‐dimensional Schrödinger operators with magnetic fields (2005) (3)
Inequalities involving Aharonov–Bohm magnetic potentials in dimensions 2 and 3 (2019) (3)
HARDY TYPE INEQUALITIES WITH LOGARITHMIC AND POWER WEIGHTS FOR A SPECIAL FAMILY OF NON-CONVEX DOMAINS (2013) (3)
A Bound for the Eigenvalue Counting Function for Higher-Order Krein Laplacians on Open Sets (2014) (3)
"Non-standard" spectral asymptotics for a two-dimensional Schrödinger operator (1997) (2)
Singular factorizations, self-adjoint extensions, and applications to quantum many-body physics (2005) (2)
On a Conjecture by Hundertmark and Simon (2022) (2)
Weyl asymptotics for perturbed functional difference operators (2019) (2)
On factorisation of a class of Schrödinger operators (2020) (2)
Global solution of the wave equation (1990) (2)
Szegö type theorems (1997) (2)
Partial differential equations (2010) (2)
European Congress of Mathematics: Stockholm, June 27-july 2, 2004 (2005) (2)
Hardy Inequality for Antisymmetric Functions (2021) (2)
Analysis as a Tool in Mathematical Physics: In Memory of Boris Pavlov (2020) (1)
Mikhail Shlemovich Birman (obituary) (2010) (1)
Отрицательный спектр класса двумерных операторов Шрeдингера с потенциалами, зависящими от радиуса@@@The Negative Spectrum of a Class of Two-Dimensional Schrödinger Operators with Potentials Depending Only on Radius (2000) (1)
A P ] 1 2 A ug 2 00 6 Many Particle Hardy Inequalities (2008) (1)
Spectral inequalities for Partial Di ff erential Equations and their applications (2012) (1)
Calogero Type Bounds in Two Dimensions (2021) (1)
ПОВЫШЕНИЕ ЭНЕРГОЭФФЕКТИВНОСТИ УСТАНОВОК И ИМПОРТОЗАМЕЩЕНИЕ В НЕФТЕГАЗОХИМИЧЕСКОМ КОМПЛЕКСЕ (2015) (1)
Recent improvements of Berezin-Li-Yau type inequalities (2013) (1)
Dirichlet eigenfunctions in the cube , sharpening the Courant nodal inequality (2019) (1)
Nina N. Uraltseva. On the occasion of her 75th birthday (2009) (1)
On Some Sharp Spectral Inequalities for Schrödinger Operators on Semiaxis (2014) (1)
Operator methods in mathematical physics : Conference on Operator Theory, Analysis and Mathematical Physics, (OTAMP) 2010, Bedlewo, Poland (2013) (1)
A Sharp Lieb-Thirring Inequality for Functional Difference Operators (2021) (1)
Complex eigenvalue bounds for a Schrödinger operator on the half line (2020) (1)
Curriculum Vitae (2020) (0)
Assessment 978-1009-21846-7 — Schrödinger Operators : Eigenvalues and Lieb – Thirring Inequalities (0)
Horizontal configurations of points in link complements (2005) (0)
Global Representation of Lagrangian Distributions (1992) (0)
Operator Theory: Advances and Applications 227 Operator Methods in Mathematical Physics (2013) (0)
Pavlov’s Mathematics (2020) (0)
Symmetry Results in Two-Dimensional Inequalities for Aharonov–Bohm Magnetic Fields (2019) (0)
Weyl Type Asymptotics and Bounds for the Eigenvalues of Functional-Difference Operators for Mirror Curves (2016) (0)
Sirius Mathematics Center as a New Center of Mathematical Conferences (2022) (0)
Interpolation Inequalities and Spectral Estimates for Magnetic Operators (2018) (0)
Sharp interpolation inequalities for discrete operators and applications (2014) (0)
AN IMPROVED ONE-DIMENSIONAL HARDY (2022) (0)
I.A. Krylov: Quartet: Basni (Russian) (1967) (0)
INTERPOLATION INEQUALITIES IN PRESENCE OF A MAGNETIC FIELD AND APPLICATION TO SCHRÖDINGER OPERATORS (2017) (0)
Legal Culture and Legal Ideology: Problems of the History of Law and Comparative Law [Правовая Культура И Правовая Идеология: Проблемы Истории Права И Сравнительного Правоведения] (2017) (0)
versus C 1 : The nonsmooth case involving critical growth (2020) (0)
On a class of sharp multiplicative Hardy inequalities (2021) (0)
Eigenvalue Estimates for Non-Selfadjoint Dirac Operators on the Real Line (2013) (0)
Spectral Inequalities for a Class of Integral Operators (2019) (0)
Hardy inequalities for magnetic $p$-Laplacians (2022) (0)
SP ] 1 3 O ct 2 01 0 GEOMETRICAL VERSIONS OF IMPROVED BEREZIN (2010) (0)
Magnetic Lieb–Thirring inequality for periodic functions (2020) (0)
Institute for Mathematical Physics the Negative Discrete Spectrum of a Class of Two{dimentional Schrr Odinger Operators with Magnetic Fields (1998) (0)
A remark on a paper by Hundertmark and Simon (2020) (0)
Farit Gabidinovich Avkhadiev (2018) (0)
On the Lieb-Thirring Constant on the Torus (2019) (0)
Sharp interpolation inequalities for discrete operators (2015) (0)
Sharp interpolation inequalities for discrete operators (2015) (0)
On the Negative Spectrum of the Two-Dimensional Schrödinger Operator with Radial Potential (2012) (0)
Trace formulas for a discrete Schrödinger operator (2017) (0)
Non-Classical Spectral Bounds for Schrödinger Operators (2023) (0)
A SZEGÖ CONDITION FOR A MULTIDIMENSIONAL SCHRÖDINGER (2002) (0)
Finding Eigenvalues and Eigenfunctions of the Zaremba Problem for the Circle (2016) (0)
Weighted CLR type bounds in two dimensions (2023) (0)
MATHEMATICAL EVENTS: Nomination of candidates for the ten prizes of the European Mathematical Society. Fourth European Congress of Mathematics (2003) (0)
Geometric many particle Hardy inequalities (2005) (0)
Estimates of the singular numbers of a class of integral operators (1984) (0)
Operator Theory, Analysis and Mathematical Physics : Proceedings of the conference held in Bedlewo Math. Center, Poland, July 6-11, 2004 (2007) (0)
Eigenvalues of the bilayer graphene operator with a complex valued potential (2018) (0)
On the Simon-Spencer theorem (2008) (0)
Фарит Габидинович Авхадиев (к семидесятилетию со дня рождения) (2018) (0)
О постоянной Либа-Тирринга на торе (2019) (0)
Михаил Захарович Соломяк (некролог)@@@Mikhail Zakharovich Solomyak (obituary) (2017) (0)
Правовая Культура и Правовая Идеология: Проблемы Истории Права и Сравнительного Правоведения (Legal Culture and Legal Ideology: Problems of the History of Law and Comparative Law) (2017) (0)
Формулы следов для дискретного оператора Шрeдингера@@@Trace Formulas for a Discrete Schrödinger Operator (2017) (0)

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