Andreas Seeger

Q: What Schools Are Affiliated With Andreas Seeger

Andreas Seeger is affiliated with the following schools: Technische Universität Darmstadt, University of Oxford, Princeton University, University of Wisconsin–Madison, Stanford University

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Andreas Seeger

Mathematics

#6220

World Rank

#8655

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Harmonic Analysis

#20

World Rank

#21

Historical Rank

Measure Theory

#3096

World Rank

#3669

Historical Rank

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Mathematics

Andreas Seeger's Degrees

Masters Mathematics University of Oxford
Bachelors Mathematics University of Oxford

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Why Is Andreas Seeger Influential?

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According to Wikipedia, Andreas Seeger is a mathematician who works in the field of harmonic analysis. He is a professor of mathematics at the University of Wisconsin–Madison. He received his PhD from Technische Universität Darmstadt in 1985 under the supervision of Walter Trebels.

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Andreas Seeger'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

Regularity properties of Fourier integral operators (1991) (256)
Local smoothing of Fourier integral operators and Carleson-Sjölin estimates (1993) (187)
Strong variational and jump inequalities in harmonic analysis (2008) (160)
Wave front sets, local smoothing and Bourgain's circular maximal theorem (1992) (140)
Singular integral operators with rough convolution kernels (1996) (121)
Fourier integral operators with fold singularities. (1994) (117)
A variation norm Carleson theorem (2009) (110)
Radon transforms and finite type conditions (1998) (87)
Degenerate Fourier integral operators in the plane (1993) (82)
On the boundedness of functions of (pseudo-) differential operators on compact manifolds (1989) (80)
A note on Triebel-Lizorkin spaces (1989) (72)
Classes of singular integral operators along variable lines (1999) (72)
L p regularity of averages over curves and bounds for associated maximal operators (2005) (70)
Extensions of the Stein-Tomas theorem (2010) (56)
Some Problems in Harmonic Analysis (2017) (55)
Radial Fourier multipliers in high dimensions (2009) (55)
Some inequalities for singular convolution operators in ^{}-spaces (1988) (53)
Restriction of Fourier transforms to curves and related oscillatory integrals (2006) (53)
On plate decompositions of cone multipliers (2007) (50)
Oscillatory and Fourier integral operators with degenerate canonical relations (2002) (50)
Singular spherical maximal operators on a class of two step nilpotent lie groups (2003) (49)
Fourier integral operators with cusp singularities (1998) (46)
A VARIATION (2009) (46)
Remarks on singular convolution operators (1990) (43)
Improved bounds for Stein's square functions (2010) (41)
Sharp Lorentz space estimates for rough operators (1999) (40)
Characterizations of Hankel multipliers (2007) (40)
Estimates nearL1 for Fourier multipliers and maximal functions (1989) (39)
AVERAGES OVER CONVEX HYPERSURFACES (1993) (39)
ENDPOINT MAPPING PROPERTIES OF SPHERICAL MAXIMAL OPERATORS (2002) (38)
Endpoint inequalities for Bochner-Riesz multipliers in the plane. (1996) (37)
Average decay estimates for Fourier transforms of measures supported on curves (2006) (36)
Singular maximal functions and Radon transforms near L1 (2002) (36)
On maximal functions for Mikhlin–Hörmander multipliers (2005) (35)
Weighted inequalities for Bochner-Riesz means in the plane (2000) (35)
On oscillatory integral operators with folding canonical relations (1999) (35)
RESTRICTION OF FOURIER TRANSFORMS TO CURVES II: SOME CLASSES WITH VANISHING TORSION (2007) (34)
On averaging operators associated with convex hypersurfaces of finite type (1999) (33)
SQUARE FUNCTIONS AND MAXIMAL OPERATORS ASSOCIATED WITH RADIAL FOURIER MULTIPLIERS (2012) (32)
Haar projection numbers and failure of unconditional convergence in Sobolev spaces (2015) (29)
On quasiradial Fourier multiplier and their maximal functions. (1986) (29)
Necessary conditions for vector‐valued operator inequalities in harmonic analysis (2005) (29)
ON X-RAY TRANSFORMS FOR RIGID LINE COMPLEXES AND INTEGRALS OVER CURVES IN R (1999) (29)
A mixed norm variant of Wolff’s inequality for paraboloids (2008) (29)
Pointwise convergence of spherical means (1995) (29)
Mean square discrepancy bounds for the number of lattice points in large convex bodies (2002) (28)
On radial Fourier multipliers and almost everywhere convergence (2014) (25)
On Radial and Conical Fourier Multipliers (2010) (25)
Lower Bounds for Haar Projections: Deterministic Examples (2015) (25)
Restriction of Fourier transforms to curves: An endpoint estimate with affine arclength measure (2011) (24)
Endpoint maximal and smoothing estimates for Schrödinger equations (2008) (24)
Hp-AND L "-VARIANTS OF MULTIPARAMETER CALDERÓN-ZYGMUND THEORY (2010) (24)
A limit case of the Hörmander multiplier theorem (1988) (23)
Two endpoint bounds for generalized Radon transforms in the plane (2002) (23)
On X-ray transforms for rigid line complexes and integrals over curves in $\mathbb{R}^4$ (1999) (22)
Embeddings for spaces of Lorentz–Sobolev type (2018) (22)
The Haar System as a Schauder Basis in Spaces of Hardy–Sobolev Type (2016) (22)
A family of singular oscillatory integral operators and failure of weak amenability (2002) (22)
^{}- and ^{}-variants of multiparameter Calderón-Zygmund theory (1992) (21)
Sharp Lp bounds for the wave equation on groups of Heisenberg type (2014) (21)
Spherical maximal functions and fractal dimensions of dilation sets (2020) (21)
Riesz means associated with convex domains in the plane (2001) (20)
Maximal functions associated with Fourier multipliers of Mikhlin-Hörmander type (2003) (20)
Low regularity classes and entropy numbers (2007) (19)
Regularity Properties of Wave Propagation on Conic Manifolds and Applications to Spectral Multipliers (2001) (19)
IMPROVEMENTS IN WOLFF’S INEQUALITY FOR DECOMPOSITIONS OF CONE MULTIPLIERS (2010) (17)
Necessary conditions for quasiradial Fourier multipliers (1987) (16)
L2-ESTIMATES FOR A CLASS OF SINGULAR OSCILLATORY INTEGRALS (1994) (16)
Multilinear Singular Integral Forms of Christ-Journé Type (2015) (16)
Basis Properties of the Haar System in Limiting Besov Spaces (2019) (15)
Conditionally convergent series of linear operators on LP-spaces and LP-estimates for pseudodifferential operators (1988) (14)
Problems on averages and lacunary maximal functions (2010) (14)
Oscillatory integral operators with low-order degeneracies (2000) (14)
A weak type bound for a singular integral (2012) (14)
Inequalities for spherically symmetric solutions of the wave equation (1995) (14)
Singular integrals and a problem on mixing flows (2016) (13)
Two problems associated with convex finite type domains (2002) (13)
Homogenous Fourier multipliers of Marcinkiewicz type (1995) (13)
Lebesgue space estimates for a class of Fourier integral operators associated with wave propagation (2013) (13)
Pointwise convergence of lacunary spherical means (2002) (13)
The Fourier extension operator on large spheres and related oscillatory integrals (2006) (12)
Convolution Powers of Salem Measures With Applications (2015) (12)
The Haar System in Triebel–Lizorkin Spaces: Endpoint Results (2019) (12)
$\boldkey{L}^{\boldkey 2}$-estimates for a class of singular oscillatory integrals (1994) (11)
Multi-scale sparse domination (2020) (11)
ON POINTWISE CONVERGENCE OF SCHRÖDINGER MEANS (2020) (11)
On space–time estimates for the Schrödinger operator (2011) (11)
$L^p\to L^q$ bounds for spherical maximal operators (2019) (10)
On uniform boundedness of dyadic averaging operators in spaces of Hardy–Sobolev type (2016) (10)
Singular Radon transforms and maximal functions under convexity assumptions (2002) (9)
Lp SOBOLEV REGULARITY OF A RESTRICTED X-RAY TRANSFORM IN R3 (2005) (9)
A maximal function for families of Hilbert transforms along homogeneous curves (2019) (9)
Estimates for generalized Radon transforms inthree and four dimensionsAllan (2007) (9)
Mean lattice point discrepancy bounds, II: Convex domains in the plane (2005) (9)
The circular maximal operator on Heisenberg radial functions (2019) (9)
$$\mathbf {L^p\rightarrow L^q}$$ bounds for spherical maximal operators (2020) (9)
Variation bounds for spherical averages (2020) (8)
$L^p$-Sobolev estimates for a class of integral operators with folding canonical relations. (2019) (8)
Bounds for singular fractional integrals and related Fourier integral operators (2002) (8)
Spherical Maximal Operators on Radial Functions (1996) (8)
Spherical means on the Heisenberg group: Stability of a maximal function estimate (2018) (7)
Maximal functions associated with families of homogeneous curves: Lp bounds for P ≤ 2 (2019) (6)
Classes of singular integrals along curves and surfaces (1999) (5)
Sharp $L^p$ bounds for the helical maximal function (2021) (5)
A NOTE ON MAXIMAL OPERATORS ASSOCIATED WITH HANKEL MULTIPLIERS (2009) (5)
Lebesgue Space Estimates for Spherical Maximal Functions on Heisenberg Groups (2021) (4)
Sobolev improving for averages over curves in R4 (2021) (4)
$${\mathbf {L}}^{{\mathbf {p}}}$$-Sobolev Estimates for a Class of Integral Operators with Folding Canonical Relations (2019) (4)
SOBOLEV REGULARITY OF A RESTRICTED X-RAY TRANSFORM IN R 3 MALABIKA PRAMANIK AND (2005) (3)
Sobolev spaces revisited (2022) (3)
Singular integral and maximal operators associated to hypersurfaces:Lp theory (2005) (3)
Spaces of Besov-Sobolev type and a problem on nonlinear approximation (2021) (3)
NOTES ON RADIAL AND QUASIRADIAL FOURIER MULTIPLIERS (2018) (3)
A NOTE ON PLATE DECOMPOSITIONS OF CONE MULTIPLIERS (2005) (3)
A Calder\'on-Zygmund estimate with applications to generalized Radon transforms and Fourier integral operators (2010) (2)
The Haar System as a Schauder Basis in Spaces of Hardy–Sobolev Type (2017) (1)
Families of functionals representing Sobolev norms (2021) (1)
Haar frame characterizations of Besov-Sobolev spaces and optimal embeddings into their dyadic counterparts (2022) (1)
BOUNDS FOR SPHERICAL MAXIMAL OPERATORS (2019) (1)
On pointwise convergence of Schr\"odinger means (2019) (1)
On square functions with independent increments and Sobolev spaces on the line (2017) (1)
Lp SOBOLEV REGULARITY OF A MODEL RESTRICTED X-RAY TRANSFORM IN R3 (2005) (1)
2 0 Fe b 20 02 OSCILLATORY INTEGRAL OPERATORS WITH LOW – ORDER DEGENERACIES (2002) (1)
Riesz means of Fourier series and integrals: Strong summability at the critical index (2018) (1)
Lower Bounds for Haar Projections: Deterministic Examples (2016) (0)
BOUND CRITERION FOR SINGULAR INTEGRALS WITH ROUGH KERNEL AND ITS APPLICATIONS (2018) (0)
ON RADIAL AND QUASIRADIAL FOURIER MULTIPLIERS (2018) (0)
NECESSARY CONDITIONS FOR QUASIRADIAL (2006) (0)
TWO ENDPOINT BOUNDS FOR GENERALIZEDRADON TRANSFORMS IN THE (2007) (0)
Embeddings for spaces of Lorentz–Sobolev type (2018) (0)
C A ] 3 J ul 2 00 3 SINGULAR SPHERICAL MAXIMAL OPERATORS ON A CLASS OF STEP TWO NILPOTENT LIE GROUPS (2003) (0)
Endpoint sparse domination for classes of multiplier transformations (2022) (0)
Haar projection numbers and failure of unconditional convergence in Sobolev spaces (2016) (0)
FOURIER INTEGRAL OPERATORS WITH CUSP SINGULARITIESAllan Greenleaf and (1997) (0)
Convolution powers of Salem Sets with Applications (2015) (0)
A maximal function for families of Hilbert transforms along homogeneous curves (2019) (0)
2 6 Ju l 2 00 0 OSCILLATORY INTEGRAL OPERATORS WITH LOW – ORDER DEGENERACIES (2000) (0)
C A ] 1 4 M ay 2 00 2 POINTWISE CONVERGENCE OF LACUNARY SPHERICAL MEANS (2002) (0)
Variation bounds for spherical averages (2021) (0)
Spherical maximal operators on Heisenberg groups: Restricted dilation sets (2022) (0)
A sufficient condition for Haar multipliers in Triebel-Lizorkin spaces (2023) (0)
SOME PROBLEMS IN HARMONIC ANALYSIS WITH CONTRIBUTIONS BY ALMUT BURCHARD, CIPRIAN DEMETER, (2017) (0)
On square functions with independent increments and Sobolev spaces on the line (2017) (0)
Sobolev improving for averages over curves in $\mathbf{R^4}$ (2021) (0)
SOME INEQUALITIES FOR SINGULAR (2010) (0)
ON MAXIMAL OPERATORS ASSOCIATED WITH HANKEL MULTIPLIERS (2009) (0)
C A ] 1 3 D ec 1 99 9 SHARP LORENTZ SPACE ESTIMATES FOR ROUGH OPERATORS (2008) (0)
Singular Spheri al Maximal Operatorson a Class of Two Step Nilpotent Lie (2009) (0)
Singular Spheri al Maximal Operatorson a Class of Two Step Nilpotent Lie (2009) (0)
C A ] 5 J un 2 00 1 OSCILLATORY INTEGRAL OPERATORS WITH LOW – ORDER DEGENERACIES (2001) (0)
NECESSARY CONDITIONS FOR QUASIRADIAL (2006) (0)
C A ] 1 4 M ay 2 00 2 ENDPOINT MAPPING PROPERTIES OF SPHERICAL MAXIMAL OPERATORS (0)
Book Review: Fourier restriction for hypersurfaces in three dimensions and Newton polyhedra (2018) (0)
On uniform boundedness of dyadic averaging operators in spaces of Hardy–Sobolev type (2017) (0)
AN ENDPOINT SMOOTHING ESTIMATE FOR SCHRÖDINGER EQUATIONS (2008) (0)

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Published Works

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What Schools Are Affiliated With Andreas Seeger?

Andreas Seeger's AcademicInfluence.com Rankings