Robert Strichartz

Robert Strichartz's AcademicInfluence.com Rankings

Robert Strichartz

Mathematics

#520

World Rank

#1012

Historical Rank

#236

USA Rank

Measure Theory

#300

World Rank

#462

Historical Rank

#131

USA Rank

mathematics Degrees

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Mathematics

Robert Strichartz's Degrees

PhD Mathematics Princeton University

Why Is Robert Strichartz Influential?

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According to Wikipedia, Robert "Bob" Stephen Strichartz was an American mathematician who specialized in mathematical analysis. He was born in New York City on October 14, 1943. Bob graduated from Bronx High School of Science in 1961 and later earned his B.A. from Dartmouth College in 1963. As an undergraduate, he was notably part of two successful Putnam campaigns for Dartmouth. The Dartmouth team finished fifth in 1961 and second in 1962. To date, no Dartmouth Putnam team has replicated a top five finish. Individually, Bob was also recognized as a Putnam fellow in 1962. He was one of the five highest-ranking individual competitors and was eligible for a $3,000 William Lowell Putnam Scholarship at Harvard University.

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Robert Strichartz'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

Restrictions of Fourier transforms to quadratic surfaces and decay of solutions of wave equations (1977) (1179)
ANALYSIS ON FRACTALS (1999) (702)
Analysis of the Laplacian on the Complete Riemannian Manifold (1983) (542)
A Guide to Distribution Theory and Fourier Transforms (1994) (499)
Sub-Riemannian geometry (1986) (408)
Differential Equations on Fractals: A Tutorial (2006) (367)
Mock Fourier series and transforms associated with certain Cantor measures (2000) (197)
The Campbell-Baker-Hausdorff-Dynkin formula and solutions of differential equations (1987) (195)
A priori estimates for the wave equation and some applications (1970) (172)
Convolutions with kernels having singularities on a sphere (1970) (169)
Self-similar measures and their Fourier transforms. II (1993) (165)
What Is Not in the Domain of the Laplacian on Sierpinski Gasket Type Fractals (1999) (141)
Lp harmonic analysis and Radon transforms on the Heisenberg group (1991) (136)
fourier asymptotics of fractal measures (1990) (131)
Function spaces on fractals (2003) (131)
Harmonic analysis as spectral theory of Laplacians (1989) (131)
Fractal differential equations on the Sierpinski gasket (1999) (131)
The way of analysis (1995) (129)
Corrections to: ``Sub-Riemannian geometry'' (1989) (128)
Convergence of mock Fourier series (2006) (113)
Harmonic analysis on hyperboloids (1973) (109)
Differential Equations on Fractals (2018) (108)
How to Make Wavelets (1993) (93)
GEOMETRY OF SELF-AFFINE TILES II (1999) (88)
Wavelets and self-affine tilings (1993) (85)
$L^p$ estimates for Radon transforms in Euclidean and non-Euclidean spaces (1981) (84)
Fractafolds based on the Sierpinski gasket and their spectra (2003) (84)
Taylor Approximations on Sierpinski Gasket Type Fractals (2000) (81)
Fractals in the Large (1998) (78)
Remarks on “Dense analytic subspaces in fractalL2-spaces” by P.E.T. Jorgensen and S. Pedersen (1998) (78)
Exact Hausdorff measure and intervals of maximum density for Cantor sets (1999) (77)
Densities of Self-Similar Measures on the Line (1995) (75)
RADON INVERSION-VARIATIONS ON A THEME (1982) (69)
Self-Similarity in Harmonic Analysis (1994) (63)
Some Properties of Laplacians on Fractals (1999) (61)
The Finite Element Method on the Sierpinski Gasket (2001) (53)
Spectral analysis on infinite Sierpiński fractafolds (2010) (51)
Laplacians on fractals with spectral gaps have nicer Fourier series (2005) (49)
The Spectrum of the Laplacian on the Pentagasket (2003) (49)
A Functional Calculus for Elliptic Pseudo-Differential Operators (1972) (47)
Linear Algebra of Curvature Tensors and Their Covariant Derivatives (1988) (47)
Isoperimetric Estimates on Sierpinski Gasket Type Fractals (1999) (44)
Analysis on products of fractals (2004) (43)
Calculus on the Sierpinski gasket I: polynomials, exponentials and power series (2003) (42)
The resolvent kernel for PCF self-similar fractals (2008) (42)
Spectral decimation on Hambly’s homogeneous hierarchical gaskets (2009) (40)
Review: E. B. Davies, Heat kernels and spectral theory (1990) (40)
Multipliers for spherical harmonic expansions (1972) (39)
The Explicit Fourier Decomposition of L2SO(n)/SO(n - m)) (1975) (38)
Nonlinear self-similar measures and their Fourier transforms (1996) (38)
$H^p$ Sobolev spaces (1990) (37)
Uncertainty principles in harmonic analysis (1989) (37)
Constructing a Laplacian on the Diamond Fractal (2001) (36)
The Laplacian on the Sierpinski gasket via the method of averages (2001) (36)
p-Energy and p-Harmonic Functions on Sierpinski Gasket Type Fractals (2004) (35)
Splines on fractals (2000) (35)
Solvability for differential equations on fractals (2005) (31)
The p-Laplacian on the Sierpinski gasket (2004) (30)
Dirichlet forms on the Sierpiński gasket (2004) (30)
Analysis of the Laplacian and spectral operators on the Vicsek set (2009) (30)
Partial differential equations on products of Sierpinski gaskets (2007) (29)
Harmonic analysis on Grassmannian bundles (1986) (28)
Numerical Experiments in Fourier Asymptotics of Cantor Measures and Wavelets (1992) (28)
Piecewise linear wavelets on sierpinski gasket type fractals (1997) (27)
Lp contractive projections and the heat semigroup for differential forms (1986) (27)
Localized Eigenfunctions: Here You See Them, There You Don't (2009) (27)
The Hardy Space H 1 on Manifolds and Submanifolds (1972) (26)
Characterization of eigenfunctions of the Laplacian by boundedness conditions (1993) (26)
Laplacians on a family of quadratic Julia sets I (2012) (25)
Calculus on the Sierpinski gasket II: point singularities, eigenfunctions, and normal derivatives of the heat kernel (2006) (24)
Smooth bumps, a Borel theorem and partitions of smooth functions on p.c.f. fractals (2008) (24)
Gradients of Laplacian eigenfunctions on the Sierpinski gasket (2007) (24)
Outer Approximation of the Spectrum of a Fractal Laplacian (2009) (23)
Spectral operators on the Sierpinski gasket I (2009) (23)
estimates for integral transforms (1969) (23)
A fractal quantum mechanical model with Coulomb potential (2008) (23)
A multilinear version of the Marcinkiewicz interpolation theorem (1969) (23)
Conformal energy, conformal Laplacian, and energy measures on the Sierpinski gasket (2007) (22)
Sampling on the Sierpinski Gasket (2003) (22)
HARMONIC FUNCTIONS AND THE SPECTRUM OF THE LAPLACIAN ON THE SIERPINSKI CARPET (2012) (21)
Estimates for Sums of Eigenvalues for Domains in Homogeneous Spaces (1996) (21)
Distribution theory on P.C.F. fractals (2009) (21)
GREEN'S FUNCTIONS ON FRACTALS (2000) (21)
Harmonic Oscillators on Infinite Sierpinski Gaskets (2009) (20)
Asymptotic behavior of waves (1981) (20)
Numerical Analysis on the Sierpinski Gasket, with Applications to Schrodinger Equations, Wave Equation, and Gibbs' Phenomenon (2004) (20)
Sampling Theory for Functions with Fractal Spectrum (2001) (20)
Improved Sobolev inequalities (1983) (19)
Laplacians on a family of quadratic Julia sets II (2012) (19)
Orthogonal Polynomials with Respect to Self-Similar Measures (2009) (18)
Energy Measures of Harmonic Functions on the Sierpi\'nski Gasket (2012) (18)
Weak Uncertainty Principles on Fractals (2005) (18)
Transformation of spectra of graph Laplacians (2010) (18)
Boundary value problems for harmonic functions on a domain in the Sierpinski gasket (2012) (18)
Traces of BMO-Sobolev spaces (1981) (18)
Besicovitch meets Wiener—Fourier expansions and fractal measures (1989) (18)
Pseudo-differential operators on fractals and other metric measure spaces (2013) (17)
Inside the Lévy Dragon (2002) (17)
Lv ESTIMATES FOR INTEGRAL TRANSFORMS (2010) (16)
Self–similar Energy Forms on the Sierpinski Gasket with Twists (2007) (16)
Boundary Value Problems for a Family of Domains in the Sierpinski Gasket (2013) (16)
Local harmonic analysis on spheres (1988) (16)
Cauchy Transforms of Self-Similar Measures (1998) (16)
Sampling Theory with Average Values on the Sierpinski Gasket (2013) (15)
Invariant pseudo-differential operators on a Lie group (1972) (15)
Level sets of harmonic functions on the Sierpiński gasket (2002) (14)
Spectral Asymptotics Revisited (2010) (14)
Fourier Transforms and Non-Compact Rotation Groups (1974) (14)
SPECTRA OF SELF-SIMILAR LAPLACIANS ON THE SIERPINSKI GASKET WITH TWISTS (2008) (14)
Laplacians on Julia Sets III: Cubic Julia Sets and Formal Matings (2012) (14)
Mean Value Properties of Harmonic Functions on Sierpinski Gasket Type Fractals (2012) (14)
Average error for spectral asymptotics on surfaces (2013) (13)
Multiplier transformations on compact Lie groups and algebras (1974) (13)
Wavelet expansions of fractal measures (1991) (13)
Local behavior of smooth functions for the energy Laplacian on the Sierpinski gasket (2010) (13)
Average Number of Lattice Points in a Disk (2012) (13)
Boundary Value Problems on a Half Sierpinski Gasket (2013) (12)
“Graph paper” trace characterizations of functions of finite energy (2013) (12)
Szegö Limit Theorems on the Sierpiński Gasket (2008) (12)
USING PEANO CURVES TO CONSTRUCT LAPLACIANS ON FRACTALS (2014) (12)
Exact spectral asymptotics on the Sierpinski gasket (2011) (11)
Corrigendum to “harmonic analysis as spectral theory of Laplacians” (1992) (11)
Half Sampling on Bipartite Graphs (2016) (11)
Isomorphisms of group algebras (1966) (11)
Singular integrals supported on submanifolds (1982) (11)
Review: Michael E. Taylor, Noncommutative harmonic analysis (1987) (10)
Asymptotics of eigenvalue clusters for Schrödinger operators on the Sierpinski gasket (2007) (10)
Periodic and Almost Periodic Functions on Infinite Sierpinski Gaskets (2009) (10)
Boundary values of solutions of elliptic equations satisfying ^{} conditions (1973) (9)
Bochner identities for Fourier transforms (1977) (9)
Energy Partition on Fractals (2003) (9)
What are Distributions (2003) (9)
Hodge-de Rham Theory on Fractal Graphs and Fractals (2012) (9)
Generalized Eigenfunctions and a Borel Theorem on the Sierpinski Gasket (2009) (9)
Fubini-type theorems (1968) (8)
A Search for Best Constants in the Hardy-Littlewood Maximal Theorem (1995) (8)
Harmonic analysis on constant curvature surfaces with point singularities (1990) (8)
Extensions and their Minimizations on the Sierpinski Gasket (2013) (7)
Analysis on hybrid fractals (2018) (7)
Spectral asymptotics of fractal measures on Riemannian manifolds (1991) (7)
The stationary observer problem for □u = Mu and related equations (1971) (7)
Evaluating Integrals Using Self-Similarity (2000) (6)
ISOMETRIC ISOMORPHISMS OF MEASURE ALGEBRAS (1965) (6)
Waves Are Recurrent on Noncompact Fractals (2010) (6)
HOMOTOPIES OF EIGENFUNCTIONS AND THE SPECTRUM OF THE LAPLACIAN ON THE SIERPINSKI CARPET (2009) (6)
Orthogonal Polynomials on the Sierpinski Gasket (2011) (6)
Analysis, Probability and Mathematical Physics on Fractals (2020) (6)
Harmonic mappings of the Sierpinski gasket to the circle (2001) (6)
Opinion: An international language for mathematics (1989) (6)
Compositions of singular integral operators (1982) (5)
A note on Sobolev algebras (1971) (5)
Mean value properties of the Laplacian via spectral theory (1984) (5)
Covering Maps and Periodic Functions on Higher Dimensional Sierpinski Gaskets (2009) (5)
Spectral Asymptotics on Compact Heisenberg Manifolds (2016) (5)
Polynomials on the Sierpiński gasket with respect to different Laplacians which are symmetric and self-similar (2019) (4)
SPECTRUM OF THE LAPLACIAN ON THE VICSEK SET “WITH NO LOOSE ENDS” (2016) (4)
Explicit solutions of Maxwell's equations on a space of constant curvature (1982) (4)
A CONVEX SURFACE WITH FRACTAL CURVATURE (2019) (4)
Hodge-de rham theory of k-forms on carpet type fractals (2015) (4)
Singular integrals on nilpotent Lie groups (1975) (4)
Spectral decimation for families of self-similar symmetric Laplacians on the Sierpiński gasket (2017) (4)
Defining Curvature as a Measure via Gauss–Bonnet on Certain Singular Surfaces (2018) (4)
Construction of orthonormal wavelets (2021) (4)
Local behavior of harmonic functions on the Sierpinski gasket (2007) (3)
Infinitesimal resistance metrics on Sierpinski gasket type fractals (2008) (3)
Realms of mathematics: Elliptic, hyperbolic, parabolic, sub-elliptic (1987) (3)
Gibbs' phenomenon and arclength (2000) (3)
A trace theorem for Sobolev spaces on the Sierpinski gasket (2019) (3)
Unexpected spectral asymptotics for wave equations on certain compact spacetimes (2014) (3)
Existence and uniqueness of diffusions on the Julia sets of Misiurewicz-Sierpinski maps (2020) (3)
Outer Boundaries of Self-Similar Tiles (2005) (2)
Smooth bumps, a Borel theorem and partitions of unity on p.c.f. fractals (2006) (2)
A fractal Radon inversion problem (1994) (2)
The shape of the error in wavelet approximation and piecewise linear interpolation (2000) (2)
Spectral Properties of Laplacians on Snowflake Domains and Filled Julia Sets (2019) (2)
Spectral Asymptotics of the Laplacian on Surfaces of Constant Curvature. (2018) (2)
Solutions of the Problems in §5 of "Radon Inversion-Variations on a Theme," by Robert S. Strichartz (1982) (2)
Sobolev inequalities and extension theorems for functions with certain $L^{p}$ derivatives (1968) (2)
A Poisson summation formula for integrals over quadratic surfaces (1982) (1)
Another Way to Look at Spectral Asymptotics on Spheres (2015) (1)
Pseudo-differential Operators on Fractals (2011) (1)
Sobolev Orthogonal Polynomials on the Sierpinski Gasket (2020) (1)
Complementary Series and Exotic Sobolev Norms (1993) (1)
Magnified curves on a flat torus, determination of almost periodic functions, and the Riemann-Lebesgue lemma (1989) (1)
Spectrum of the Laplacian on regular polyhedra (2018) (1)
The mathieu differential equation and generalizations to infinite fractafolds (2019) (1)
The Abelian Sandpile Model on Fractal Graphs (2016) (1)
Spectral analysis on infinite Sierpiński fractafolds (2012) (0)
Mean Value Properties of Harmonic Functions on Sierpinski Gasket Type Fractals (2013) (0)
Half Sampling on Bipartite Graphs (2016) (0)
BACK MATTER (2020) (0)
Analysis on the Projective Octagasket (2018) (0)
Extensions and their Minimizations on the Sierpinski Gasket (2014) (0)
Chapter 3. Spectrum of the Laplacian (2006) (0)
The Calculus of Distributions (2003) (0)
Orthogonal Polynomials on the Sierpinski Gasket (2013) (0)
Mathematics on display (1983) (0)
PREFACE (2020) (0)
THE HARDY SPACE IP ON MANIFOLDS AND SUBMANIFOLDS (2007) (0)
Chapter One Measure, Energy, and Metric (2006) (0)
Spectral Analysis Beyond $$\ell ^2$$ on Sierpinski Lattices (2019) (0)
Chapter 4. Postcritically Finite Fractals (2006) (0)
Numerical integration for fractal measures (2016) (0)
FRONT MATTER (2020) (0)
Sobolev Theory and Microlocal Analysis (2003) (0)
Chapter 5. Further Topics (2006) (0)
MEAN VALUE PROPERTIES OF THE LAPLACIAN (2009) (0)
Unexpected spectral asymptotics for wave equations on certain compact spacetimes (2018) (0)
Sampling Theory with Average Values on the Sierpinski Gasket (2016) (0)
Solving Partial Differential Equations (2003) (0)
TRACES OF TJMO-SOBOLEV SPACES (2010) (0)
Numerical Simulations of N Point Vortices on Bounded Domains (2014) (0)
Asymptotic Behavior of Multiperiodic Functions 131 where P * is the Legendre transformation (1998) (0)
TRACES OF TJMO-SOBOLEV SPACES (2010) (0)
Another Way to Look at Spectral Asymptotics on Spheres (2014) (0)
Geometry and Laplacian on Discrete Magic Carpets (2019) (0)
Laplacians on Julia sets of rational maps (2020) (0)
Sparse Averages of Partial Sums of Fourier Series (2018) (0)
Defining Curvature as a Measure via Gauss–Bonnet on Certain Singular Surfaces (2019) (0)
The Structure of Distributions (2003) (0)
Spectral Asymptotics Revisited (2012) (0)
Spectral Asymptotics on Compact Heisenberg Manifolds (2015) (0)
“Graph paper” trace characterizations of functions of finite energy (2016) (0)
Outer Approximation of the Spectrum of a (2009) (0)
Homeomorphisms of fractafolds (2010) (0)
Minimum-energy solutions of certain underdetermined problems in partial differential equations (1978) (0)
Eigenvalues of Laplacians on Higher Dimensional Vicsek Set Graphs (2021) (0)
Fourier Transforms of Tempered Distributions (2003) (0)
SPECTRAL ANALYSIS BEYOND (cid:96) 2 ON SIERPINSKI LATTICES (2019) (0)
Self-Similaritiy in Harmonic Analysis. (1994) (0)

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Robert Strichartz's Academic­Influence.com Rankings