Michael Goldberg

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All published works

Action	Title	Year	Authors
+ PDF Chat	Counterexamples to L boundedness of wave operators for classical and higher order Schrödinger operators	2023	M. Burak Erdoğan Michael Goldberg William R. Green
+	Spectral Multipliers II: Elliptic and Parabolic Operators and Bochner-Riesz Means	2023	Marius Beceanu Michael Goldberg
+	Dispersive estimates for higher order Schrödinger operators with scaling-critical potentials	2023	M. Burak Erdoğan Michael Goldberg William R. Green
+	Spectral multipliers III: Endpoint bounds, intertwining operators, and twisted Hardy spaces	2023	Marius Beceanu Michael Goldberg
+ PDF Chat	Time integrable weighted dispersive estimates for the fourth order Schrödinger equation in three dimensions	2022	Michael Goldberg William R. Green
+ PDF Chat	Strichartz estimates for the Schrödinger equation with a measure-valued potential	2021	M. Burak Erdoğan Michael Goldberg William H. Green
+ PDF Chat	The massless Dirac equation in two dimensions: zero-energy obstructions and dispersive estimates	2021	M. Burak Erdoğan Michael Goldberg William R. Green
+	On the 𝐿^{𝑝} boundedness of the wave operators for fourth order Schrödinger operators	2021	Michael Goldberg William R. Green
+ PDF Chat	Restrictions of higher derivatives of the Fourier transform	2020	Michael Goldberg Dmitriy Stolyarov
+	Time integrable weighted dispersive estimates for the fourth order Schr\"odinger equation in three dimensions	2020	Michael Goldberg William R. Green
+	Strichartz Estimates for the Schr\"odinger Equation with a Measure-Valued Potential	2019	M. Burak Erdoğan Michael Goldberg William R. Green
+	Restrictions of higher derivatives of the Fourier transform	2018	Michael Goldberg Dmitriy Stolyarov
+ PDF Chat	Limiting Absorption Principle and Strichartz Estimates for Dirac Operators in Two and Higher Dimensions	2018	M. Burak Erdoğan Michael Goldberg William R. Green
+	The Massless Dirac Equation in Two Dimensions: Zero-Energy Obstructions and Dispersive Estimates.	2018	Burak Erdoğan Michael Goldberg William R. Green
+ PDF Chat	On the L boundedness of wave operators for two-dimensional Schrödinger operators with threshold obstructions	2017	M. Burak Erdoğan Michael Goldberg William R. Green
+ PDF Chat	Dispersive estimates for higher dimensional Schrödinger operators with threshold eigenvalues. II: The even dimensional case	2017	Michael Goldberg William R. Green
+ PDF Chat	On the $$L^p$$ L p Boundedness of Wave Operators for Four-Dimensional Schrödinger Operators with a Threshold Eigenvalue	2016	Michael Goldberg William R. Green
+ PDF Chat	The Klein–Gordon equation on <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mrow><mml:mi mathvariant="double-struck">Z</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:math> and the quantum harmonic lattice	2016	Vita Borovyk Michael Goldberg
+	The L boundedness of wave operators for Schrödinger operators with threshold singularities	2016	Michael Goldberg William R. Green
+ PDF Chat	The Helmholtz equation with $L^p$ data and Bochner–Riesz multipliers	2016	Michael Goldberg
+	The $L^p$ boundedness of wave operators for Schrödinger Operators with threshold singularities	2015	Michael Goldberg William R. Green
+	The $L^p$ boundedness of wave operators for Schr\"odinger Operators with threshold singularities : Odd dimensions	2015	Michael Goldberg William R. Green
+	Dispersive estimates for higher dimensional Schrödinger operators with threshold eigenvalues I: The odd dimensional case	2015	Michael Goldberg William R. Green
+ PDF Chat	Dispersive Estimates for Four Dimensional Schrödinger and Wave Equations with Obstructions at Zero Energy	2014	M. Burak Erdoğan Michael Goldberg William R. Green
+ PDF Chat	Strichartz estimates and maximal operators for the wave equation in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mrow><mml:mi mathvariant="double-struck">R</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msup></mml:math>	2013	Marius Beceanu Michael Goldberg
+	The Klein-Gordon Equation on ${\mathbb Z}^2$ and the Quantum Harmonic Lattice	2013	Vita Borovyk Michael Goldberg
+ PDF Chat	Schrödinger Dispersive Estimates for a Scaling-Critical Class of Potentials	2012	Marius Beceanu Michael Goldberg
+ PDF Chat	Dispersive estimates for Schroedinger operators with measure-valued potentials in R^3	2012	Michael Goldberg
+ PDF Chat	Strichartz estimates for Schrödinger operators with a non-smooth magnetic potential	2011	Michael Goldberg
+	A Dispersive Bound for Three-Dimensional Schrödinger Operators with Zero Energy Eigenvalues	2010	Michael Goldberg
+	Schrödinger Dispersive Dstimates for a Dcaling-Critical Class of Potentials	2010	Marius Beceanu Michael Goldberg
+ PDF Chat	Strichartz and smoothing estimates for Schrödinger operators with almost critical magnetic potentials in three and higher dimensions	2009	M. Burak Erdoğan Michael Goldberg Wilhelm Schlag
+	Strichartz estimates for the Schrödinger equation with time-periodic <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mi>L</mml:mi><mml:mrow><mml:mi>n</mml:mi><mml:mo stretchy="false">/</mml:mo><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:math> potentials	2008	Michael Goldberg
+ PDF Chat	Strichartz and smoothing estimates for Schrödinger operators with large magnetic potentials in $\mathbb{R}^3$	2008	M. Burak Erdoğan Michael Goldberg Wilhelm Schlag
+	Strichartz estimates for Schrödinger operators with a non-smooth magnetic potential	2008	Michael Goldberg
+	A dispersive bound for three-dimensional Schroedinger operators with zero energy eigenvalues	2008	Michael Goldberg
+ PDF Chat	Transport in the one-dimensional Schrödinger equation	2007	Michael Goldberg
+	Strichartz and Smoothing Estimates for Schr\"odinger Operators with Almost Critical Magnetic Potentials in Three and Higher Dimensions	2007	M. Burak Erdoğan Michael Goldberg Wilhelm Schlag
+	Strichartz Estimates for the Schroedinger Equation with Time-Periodic L^{n/2} Potentials	2007	Michael Goldberg
+ PDF Chat	DISPERSIVE BOUNDS FOR THE THREE-DIMENSIONAL SCHRÖDINGER EQUATION WITH ALMOST CRITICAL POTENTIALS	2006	Michael Goldberg
+	Transport in the One-Dimensional Schroedinger Equation	2006	Michael Goldberg
+	Dispersive estimates for the three-dimensional Schrödinge equation with rough potentials	2006	Michael Goldberg
+ PDF Chat	A Counterexample to Dispersive Estimates for Schrödinger Operators in Higher Dimensions	2006	Michael Goldberg Monica Vişan
+ PDF Chat	Counterexamples of Strichartz inequalities for Schrodinger equations with repulsive potentials	2006	Michael Goldberg L. Vega Nicola Visciglia
+	Counterexamples of Strichartz Inequalities for Schrodinger Equations with Repulsive Potentials	2006	Michael Goldberg Luis Vega Nicola Visciglia
+	Strichartz and Smoothing Estimates for Schroedinger Operators with Large Magnetic Potentials in R^3	2006	M. Burak Erdoğan Michael Goldberg Wilhelm Schlag
+ PDF Chat	Dispersive Estimates for Schr�dinger Operators in Dimensions One and Three	2004	Michael Goldberg Wilhelm Schlag
+	None	2004	Michael Goldberg Wilhelm Schlag
+	Dispersive estimates for the three-dimensional Schroedinger equation with rough potentials	2004	Michael Goldberg
+ PDF Chat	Matrix A<sub>p</sub>weights via maximal functions	2003	Michael Goldberg
+	A limiting absorption principle for the Schrodinger equation with L^p potentials	2003	Michael Goldberg Wilhelm Schlag
+ PDF Chat	Asymptotic properties of the vector Carleson embedding theorem	2001	Michael Goldberg
+ PDF Chat	Vector $A_2$ weights and a Hardy-Littlewood maximal function	2001	Michael Christ Michael Goldberg
+	On the dodecahedral space-fillers	1981	Michael Goldberg
+	On the space-filling octahedra	1981	Michael Goldberg
+	Convex polyhedral space-fillers of more than twelve faces	1979	Michael Goldberg
+	Proof without Words: Trisecting the Angles of a Regular N-Gon	1978	Michael Goldberg
+	Unique Factorization Rings with Zero Divisors	1978	Steven Galovich Michael Goldberg
+	Unstable Polyhedral Structures	1978	Michael Goldberg
+	On the space-filling hexahedra	1977	Michael Goldberg
+	On the Minimum Track of a Moved Line Segment	1974	Michael Goldberg
+	New Rectifiable Tetrahedra.	1974	Michael Goldberg
+	The Minimum Path and the Minimum Motion of a Moved Line Segment	1973	Michael Goldberg
+	Maximizing the Smallest Triangle made by <i>N</i> Points in a Square	1972	Michael Goldberg
+	Stability oF Polyhedra (J. H. Conway and R. K. Guy)	1969	Michael Goldberg R. Kent Guy R. Kent Guy
+	The Converse Malfatti Problem	1968	Michael Goldberg
+	The Converse Malfatti Problem	1968	Michael Goldberg
+	On the Original Malfatti Problem	1967	Michael Goldberg
+	A Correction for “<i>N</i>-Gon Rotors Making <i>N</i>+1 Contacts with Fixed Simple Curves”	1964	Michael Goldberg
+	On Area-Bisectors of Plane Convex Sets	1963	Michael Goldberg
+	Tables Relating to Simple Squared Rectangles of Orders Nine through Fifteen	1961	Michael Goldberg C.J. Bouwkamp A. J. W. Duijvestijn P. Medema
+	Trammel Rotors in Regular Polygons	1957	Michael Goldberg
+	A Three‐Dimensional Analog of a Plane Kempe Linkage	1946	Michael Goldberg
+	A Class of Multi-Symmetric Polyhedra	1937	Michael Goldberg
+	New Equilateral Polyhedra	1936	Michael Goldberg
+	The Isoperimetric Problem for Polyhedra	1935	Michael Goldberg

Common Coauthors

Coauthor	Papers Together
William R. Green	17
M. Burak Erdoğan	10
Wilhelm Schlag	7
Marius Beceanu	5
Vita Borovyk	2
Nicola Visciglia	2
Dmitriy Stolyarov	2
M. Burak Erdoğan	2
Michael Christ	1
Burak Erdoğan	1
R. Kent Guy	1
Steven Galovich	1
A. J. W. Duijvestijn	1
P. Medema	1
William H. Green	1
Luis Vega	1
C.J. Bouwkamp	1
L. Vega	1
Monica Vişan	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Time decay for solutions of Schr�dinger equations with rough and time-dependent potentials	2004	Igor Rodnianski Wilhelm Schlag	28
+	Spectral properties of Schrödinger operators and time-decay of the wave functions	1979	Arne Jensen Tosio Kato	25
+	Decay estimates for Schrödinger operators	1991	Jean-Lin Journé Avy Soffer Christopher D. Sogge	19
+	Wave Operators and Similarity for Some Non-selfadjoint Operators	1966	Tosio Kato	19
+	Spectral properties of Schrödinger operators and scattering theory	1975	Shmuel Agmon	15
+	Methods of Modern Mathematical Physics	1972	Michael C. Reed Barry Simon	14
+ PDF Chat	Dispersive estimates for Schrödinger operators in the presence of a resonance and/or an eigenvalue at zero energy in dimension three: I	2004	M. Burak Erdoğan Wilhelm Schlag	14
+ PDF Chat	Endpoint Strichartz estimates	1998	M. Keel Terence Tao	12
+ PDF Chat	Dispersive Estimates for Schr�dinger Operators in Dimensions One and Three	2004	Michael Goldberg Wilhelm Schlag	12
+ PDF Chat	The Wk,p-continuity of wave operators for Schrödinger operators	1995	Kenji Yajima	11
+	A UNIFIED APPROACH TO RESOLVENT EXPANSIONS AT THRESHOLDS	2001	Arne Jensen G. Nenciu	11
+ PDF Chat	A Counterexample to Dispersive Estimates for Schrödinger Operators in Higher Dimensions	2006	Michael Goldberg Monica Vişan	10
+ PDF Chat	Carleman Estimates and Absence of Embedded Eigenvalues	2006	Herbert Koch Daniel Tataru	10
+	Asymptotic expansions in time for solutions of Schrödinger-type equations	1982	Minoru Murata	10
+	On the absence of positive eigenvalues of Schrödinger operators with rough potentials	2003	Alexandru D. Ionescu David Jerison	10
+ PDF Chat	Local smoothing properties of dispersive equations	1988	Peter Constantin Jean‐Claude Saut	9
+ PDF Chat	Local decay of scattering solutions to Schrödinger's equation	1978	Jeffrey Rauch	9
+ PDF Chat	Dispersive estimates for Schrödinger operators in dimension two with obstructions at zero energy	2013	M. Burak Erdoğan William R. Green	8
+ PDF Chat	Dispersive Estimates for Schrödinger Operators in Dimension Two	2005	Wilhelm Schlag	8
+ PDF Chat	Schrödinger equations: pointwise convergence to the initial data	1988	Luis Vega	8
+	Restrictions of Fourier transforms to quadratic surfaces and decay of solutions of wave equations	1977	Robert S. Strichartz	8
+	None	2004	Michael Goldberg Wilhelm Schlag	8
+	Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables	1965	J. W. W. Milton Abramowitz Irene A. Stegun	8
+	Wave operators and similarity for some non-selfadjoint operators	1966	Tosio Kato	7
+ PDF Chat	Dispersive Estimates for Four Dimensional Schrödinger and Wave Equations with Obstructions at Zero Energy	2014	M. Burak Erdoğan Michael Goldberg William R. Green	7
+	Spectral properties of Schrödinger operators and time-decay of the wave functions. Results in L2(R4)	1984	Arne Jensen	7
+ PDF Chat	DISPERSIVE BOUNDS FOR THE THREE-DIMENSIONAL SCHRÖDINGER EQUATION WITH ALMOST CRITICAL POTENTIALS	2006	Michael Goldberg	7
+	A Dispersive Bound for Three-Dimensional Schrödinger Operators with Zero Energy Eigenvalues	2010	Michael Goldberg	7
+	Spectral properties of Schrödinger operators and time-decay of the wave functions results in L2(Rm), m≥5	1980	Arne Jensen	7
+	Uniform Sobolev inequalities and unique continuation for second order constant coefficient differential operators	1987	Carlos E. Kenig Alberto Ruiz Christopher D. Sogge	7
+	Harmonic Analysis: Real-variable Methods, Orthogonality, and Oscillatory Integrals	2002	Elias M. Stein Timothy S Murphy	6
+ PDF Chat	Smoothing-Strichartz estimates for the Schrodinger equation with small magnetic potential	2007	Vladimir Georgiev Atanas Stefanov Mirko Tarulli	6
+ PDF Chat	Strichartz estimates for the wave and Schrödinger equations with the inverse-square potential	2003	Nicolas Burq Fabrice Planchon John Stalker A. Shadi Tahvildar‐Zadeh	6
+	Time decay for solutions of Schrödinger equations with rough and time dependent potentials	2001	Igor Rodnianski Wilhelm Schlag	6
+ PDF Chat	Agmon-Kato-Kuroda theorems for a large class of perturbations	2006	Alexandru D. Ionescu Wilhelm Schlag	6
+	Best constants in some operator smoothness estimates	1992	Barry Simon	6
+	A dispersive bound for three-dimensional Schroedinger operators with zero energy eigenvalues	2008	Michael Goldberg	6
+	Dispersive estimates for higher dimensional Schrödinger operators with threshold eigenvalues I: The odd dimensional case	2015	Michael Goldberg William R. Green	5
+	Lp−Lp Estimates for the Schrödinger Equation on the Line and Inverse Scattering for the Nonlinear Schrödinger Equation with a Potential	2000	Ricardo Weder	5
+	Asymptotic properties of solutions of differential equations with simple characteristics	1976	Shmuel Agmon Lars Hörmander	5
+	Dispersive Estimates for the Schrodinger Equation for Potentials in Odd Dimensions	2010	M. Burak Erdoğan William R. Green	5
+	On <i>L<sup>p</sup> </i> boundedness of wave operators for 4-dimensional Schrödinger operators with threshold singularities	2007	Arne Jensen Kenji Yajima	5
+	The $L^p$ boundedness of wave operators for Schr\"odinger operators with threshold singularities II. Even dimensional case	2006	Domenico Finco Kenji Yajima	5
+	The W k, p -Continuity of the Schrödinger Wave Operators on the Line	1999	Ricardo Weder	5
+	Maximal Functions Associated to Filtrations	2001	Michael Christ Alexander Kiselev	5
+	Sharp counterexamples in unique continuation for second order elliptic equations	2002	Herbert Koch Daniel Tataru	5
+	The L^p Boundedness of Wave Operators for Schrodinger Operators with Threshold Singuralities I. The Odd Dimesional Case	2006	Kenji Yajima	5
+ PDF Chat	Dispersive estimates for higher dimensional Schrödinger operators with threshold eigenvalues. II: The even dimensional case	2017	Michael Goldberg William R. Green	5
+ PDF Chat	Strichartz estimates and local smoothing estimates for asymptotically flat Schrödinger equations	2008	Jeremy L. Marzuola Jason Metcalfe Daniel Tataru	4
+	SOME EXAMPLES OF SMOOTH OPERATORS AND THE ASSOCIATED SMOOTHING EFFECT	1989	Tosio Kato Kenji Yajima	4