Edit Profile (opens in new tab) Strichartz, Robert Stephen (b. 1943 d. 2021) Co-Author Distance Author ID: strichartz.robert-s Published as: Strichartz, Robert S.; Strichartz, R. S.; Strichartz, Robert; Strichartz, R. more...less External Links: MGP · Wikidata · dblp · GND · IdRef Documents Indexed: 197 Publications since 1965, including 4 Books and 5 Additional arXiv Preprints 1 Contribution as Editor Biographic References: 3 Publications Co-Authors: 137 Co-Authors with 91 Joint Publications 1,340 Co-Co-Authors all top 5 Co-Authors 106 single-authored 8 Rogers, Luke G. 8 Teplyaev, Alexander 6 Okoudjou, Kasso A. 5 Cao, Shiping 5 Qiu, Hua 4 Heilman, Steven M. 3 Wiese, Samuel C. 2 Alonso-Ruiz, Patricia 2 Cucuringu, Mihai 2 Drenning, Shawn 2 Haßler, Malte S. 2 Ionescu, Marius V. 2 Kigami, Jun 2 Ruan, Huo-Jun 2 Sandine, Ely 2 Ugurcan, Baris Evren 2 Vinson, Jade P. 2 Wang, Yang 1 Aaron, Skye 1 Adams, Bryant 1 Allan, Adam A. 1 Aougab, Tarik 1 Avenancio-León, Carlos F. 1 Ayer, Elizabeth 1 Azzam, Jonas 1 Bailey, Scott M. 1 Barany, Michael J. 1 Begué, Matthew J. 1 Bell, Renee 1 Bello, Jason 1 Ben-Bassat, Oren 1 Ben-Gal, Nitsan 1 Berry, Tyrus 1 Blasiak, Anna 1 Chan, Ying-Ying 1 Chen, Joe Po-Chou 1 Chen, YuMing 1 Coletta, Kevin 1 Coniglio, Anthony 1 Conn, Zach 1 Constantin, Sarah 1 Dalrymple, Kyallee 1 Degrado, Jessica L. 1 Dias, Kealey 1 Dima, Iancu 1 Dong, Stella Chuyue 1 Dror, Ron O. 1 Fairchild, Samantha 1 Fang, Sizhen 1 Flock, Taryn C. 1 Fox, Jonathan 1 Ganguli, Suman 1 Gibbons, Michael R. 1 Glickenstein, David 1 Goolish, Ethan 1 Greif, Evan 1 Gu, Haotiane 1 Guo, Zijian 1 Haim, Ilse 1 Hall, Michael A. 1 Herman, Paul Edward 1 Ho, Ching Wei 1 Huang, Nina N. 1 Huang, Yiqi 1 Janardhan, Prem 1 Jayakar, Sujay 1 Jiang, Qingxuan 1 Kalloniatis, Tristan 1 Kaplan, Daniel 1 Kenyon, Richard W. 1 Khandker, Zuhair U. 1 Kim, Theodore J. 1 King, Dylan A. 1 Kogan, Rachel 1 Lan, Tian 1 Lee, Eun Bi 1 Li, Jie 1 Li, Pak-Hin 1 Li, Shuangping 1 Li, Weilin 1 Li, Yiran 1 Loring, Christian 1 Lund, John-Peter 1 Malmquist, Jens 1 Mao, Yiran 1 Meyers, Robert 1 Molitor, Denali 1 Murray, Timothy 1 Needleman, Jonathan 1 Niu, Xueyan 1 Öberg, Anders 1 Oberlin, Richard 1 Ogden, W. Jacob 1 Ott, Nadia 1 Owen, Justin I. 1 Owrutsky, Philip 1 Palagallo, Judith A. 1 Pearse, Erin Peter James 1 Peirone, Roberto 1 Popp, Rachel ...and 37 more Co-Authors all top 5 Serials 23 Journal of Functional Analysis 21 Transactions of the American Mathematical Society 14 The Journal of Fourier Analysis and Applications 13 Indiana University Mathematics Journal 10 Proceedings of the American Mathematical Society 10 Experimental Mathematics 10 Communications on Pure and Applied Analysis 9 Journal d’Analyse Mathématique 8 Fractals 7 Canadian Journal of Mathematics 5 Journal of Fractal Geometry 4 American Mathematical Monthly 4 Constructive Approximation 3 Illinois Journal of Mathematics 3 Pacific Journal of Mathematics 3 The Journal of Geometric Analysis 3 Notices of the American Mathematical Society 3 Potential Analysis 2 Studia Mathematica 2 Duke Mathematical Journal 2 Journal of Differential Equations 2 Mathematical Research Letters 2 Analysis (München) 2 Annali della Scuola Normale Superiore di Pisa. Scienze Fisiche e Matematiche. III. Ser 1 Communications in Mathematical Physics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Nonlinearity 1 Rocky Mountain Journal of Mathematics 1 Arkiv för Matematik 1 The Mathematical Intelligencer 1 Advances in Mathematics 1 American Journal of Mathematics 1 Canadian Mathematical Bulletin 1 Colloquium Mathematicum 1 Fundamenta Mathematicae 1 Journal of Differential Geometry 1 Revista Matemática Iberoamericana 1 Bulletin of the American Mathematical Society. New Series 1 Journal of Mathematics and Mechanics 1 Complex Variables and Elliptic Equations 1 Fractals and Dynamics in Mathematics, Science, and the Arts: Theory and Applications all top 5 Fields 109 Measure and integration (28-XX) 48 Partial differential equations (35-XX) 45 Harmonic analysis on Euclidean spaces (42-XX) 28 Potential theory (31-XX) 26 Abstract harmonic analysis (43-XX) 19 Global analysis, analysis on manifolds (58-XX) 14 Functional analysis (46-XX) 13 Topological groups, Lie groups (22-XX) 10 Differential geometry (53-XX) 9 Operator theory (47-XX) 9 Numerical analysis (65-XX) 8 Special functions (33-XX) 7 Integral transforms, operational calculus (44-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Convex and discrete geometry (52-XX) 5 Probability theory and stochastic processes (60-XX) 4 Combinatorics (05-XX) 4 Difference and functional equations (39-XX) 4 Quantum theory (81-XX) 3 Approximations and expansions (41-XX) 3 Information and communication theory, circuits (94-XX) 2 General and overarching topics; collections (00-XX) 2 Real functions (26-XX) 2 Functions of a complex variable (30-XX) 2 Ordinary differential equations (34-XX) 2 Integral equations (45-XX) 2 Geometry (51-XX) 1 Group theory and generalizations (20-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX) 1 Relativity and gravitational theory (83-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 186 Publications have been cited 4,844 times in 3,147 Documents Cited by ▼ Year ▼ Restrictions of Fourier transforms to quadratic surfaces and decay of solutions of wave equations. Zbl 0372.35001 Strichartz, Robert S. 589 1977 Analysis of the Laplacian on a complete Riemannian manifold. Zbl 0515.58037 Strichartz, Robert S. 272 1983 Differential equations on fractals. A tutorial. Zbl 1190.35001 Strichartz, Robert S. 255 2006 Sub-Riemannian geometry. Zbl 0609.53021 Strichartz, Robert S. 214 1986 Mock Fourier series and transforms associated with certain Cantor measures. Zbl 0976.42020 Strichartz, Robert S. 188 2000 Multipliers on fractional Sobolev spaces. Zbl 0145.38301 Strichartz, R. S. 166 1967 Convergence of mock Fourier series. Zbl 1134.42308 Strichartz, Robert S. 117 2006 Remarks on “Dense analytic subspaces in fractal \(L^2\)-spaces” by P. E. T. Jorgensen and S. Pedersen. Zbl 0959.28009 Strichartz, Robert S. 80 1998 A priori estimates for the wave equation and some applications. Zbl 0189.40701 Strichartz, Robert S. 78 1970 Convolutions with kernels having singularities of a sphere. Zbl 0199.17502 Strichartz, Robert S. 78 1970 L\({}^ p\) harmonic analysis and Radon transforms on the Heisenberg group. Zbl 0734.43004 Strichartz, Robert S. 74 1991 Harmonic analysis as spectral theory of Laplacians. Zbl 0694.43008 Strichartz, Robert S. 72 1989 What is not in the domain of the Laplacian on Sierpinski gasket type fractals. Zbl 0948.35045 Ben-Bassat, Oren; Strichartz, Robert S.; Teplyaev, Alexander 71 1999 Self-similar measures and their Fourier transforms. I. Zbl 0695.28003 Strichartz, Robert S. 69 1990 Analysis on fractals. Zbl 1194.58022 Strichartz, Robert S. 64 1999 Fractal differential equations on the Sierpiński gasket. Zbl 0937.31010 Dalrymple, Kyallee; Strichartz, Robert S.; Vinson, Jade P. 62 1999 Fourier asymptotics of fractal measures. Zbl 0693.28005 Strichartz, Robert S. 62 1990 The Campbell-Baker-Hausdorff-Dynkin formula and solutions of differential equations. Zbl 0623.34058 Strichartz, Robert S. 62 1987 A note on Trudinger’s extension of Sobolev’s inequalities. Zbl 0241.46028 Strichartz, Robert S. 61 1972 Bounded mean oscillation and Sobolev spaces. Zbl 0437.46028 Strichartz, Robert S. 59 1980 A guide to distribution theory and Fourier transforms. Zbl 0854.46035 Strichartz, Robert S. 59 1994 Harmonic analysis on hyperboloids. Zbl 0253.43013 Strichartz, Robert S. 57 1973 \(L^ p\) estimates for Radon transforms in Euclidean and non-Euclidean spaces. Zbl 0477.44003 Strichartz, Robert S. 56 1981 Exact Hausdorff measure and intervals of maximum density for Cantor sets. Zbl 0933.28003 Ayer, Elizabeth; Strichartz, Robert S. 50 1999 Function spaces on fractals. Zbl 1023.46034 Strichartz, Robert S. 50 2003 Fractafolds based on the Sierpiński gasket and their spectra. Zbl 1041.28006 Strichartz, Robert S. 50 2003 A guide to distribution theory and Fourier transforms. Zbl 1029.46039 Strichartz, Robert S. 44 2003 Self-similar measures and their Fourier transforms. III. Zbl 0790.28003 Strichartz, Robert S. 43 1993 Taylor approximations on Sierpinski gasket type fractals. Zbl 0956.31007 Strichartz, Robert S. 43 2000 Fractals in the large. Zbl 0913.28005 Strichartz, Robert S. 41 1998 Wavelets and self-affine tilings. Zbl 0813.42021 Strichartz, Robert S. 40 1993 Some properties of Laplacians on fractals. Zbl 0994.35044 Strichartz, Robert S. 39 1999 Geometry of self-affine tiles. I. Zbl 0938.52017 Strichartz, Robert S.; Wang, Yang 38 1999 Self-similar measures and their Fourier transforms. II. Zbl 0765.28007 Strichartz, Robert S. 36 1993 Densities of self-similar measures on the line. Zbl 0860.28005 Strichartz, Robert S.; Taylor, Arthur; Zhang, Tong 36 1995 Splines on fractals. Zbl 0978.31005 Strichartz, Robert S.; Usher, Michael 36 2000 \(H^ p\) Sobolev spaces. Zbl 0782.46034 Strichartz, Robert S. 35 1990 Spectral analysis on infinite Sierpiński fractafolds. Zbl 1272.28012 Strichartz, Robert S.; Teplyaev, Alexander 33 2012 Self-similarity in harmonic analysis. Zbl 0851.42001 Strichartz, Robert S. 33 1994 Isoperimetric estimates on Sierpinski gasket type fractals. Zbl 0917.28005 Strichartz, Robert S. 32 1999 Laplacians on fractals with spectral gaps have nicer Fourier series. Zbl 1070.42002 Strichartz, Robert S. 27 2005 Radon inversion - variations on a theme. Zbl 0499.44003 Strichartz, Robert S. 27 1982 \(p\)-energy and \(p\)-harmonic functions on Sierpinski gasket type fractals. Zbl 1044.31006 Herman, P. Edward; Peirone, Roberto; Strichartz, Robert S. 26 2004 Self-similarity on nilpotent Lie groups. Zbl 0797.43004 Strichartz, Robert S. 25 1992 Analysis on products of fractals. Zbl 1056.31006 Strichartz, Robert S. 25 2005 A functional calculus for elliptic pseudo-differential operators. Zbl 0246.35082 Strichartz, Robert S. 24 1972 Partial differential equations on products of Sierpiński gaskets. Zbl 1144.31004 Bockelman, Brian; Strichartz, Robert S. 23 2007 The finite element method on the Sierpinski gasket. Zbl 0991.28007 Gibbons, Michael; Raj, Arjun; Strichartz, Robert S. 23 2001 Construction of orthonormal wavelets. Zbl 0891.42017 Strichartz, Robert S. 22 1994 Multipliers for spherical harmonic expansions. Zbl 0246.42003 Strichartz, Robert S. 21 1972 The \(p\)-Laplacian on the Sierpinski gasket. Zbl 1092.35035 Strichartz, Robert S.; Wong, Carto 21 2004 Calculus on the Sierpinski gasket. I: Polynomials, exponentials and power series. Zbl 1082.31004 Needleman, Jonathan; Strichartz, Robert S.; Teplyaev, Alexander; Yung, Po-Lam 21 2004 The resolvent kernel for PCF self-similar fractals. Zbl 1204.28013 Ionescu, Marius; Pearse, Erin P. J.; Rogers, Luke G.; Ruan, Huo-Jun; Strichartz, Robert S. 20 2010 Harmonic analysis on Grassmannian bundles. Zbl 0618.43005 Strichartz, Robert S. 20 1986 The Laplacian on the Sierpinski gasket via the method of averages. Zbl 1090.35064 Strichartz, Robert S. 20 2001 Cauchy transforms of self-similar measures. Zbl 0959.28006 Lund, John-Peter; Strichartz, Robert S.; Vinson, Jade P. 19 1998 Solvability for differential equations on fractals. Zbl 1091.35001 Strichartz, Robert S. 18 2005 Constructing a Laplacian on the diamond fractal. Zbl 0999.31007 Kigami, Jun; Strichartz, Robert S.; Walker, Katharine C. 18 2001 Spectral decimation on Hambly’s homogeneous hierarchical gaskets. Zbl 1211.28005 Drenning, Shawn; Strichartz, Robert S. 17 2009 Characterization of eigenfunctions of the Laplacian by boundedness conditions. Zbl 0815.35012 Strichartz, Robert S. 17 1993 Calculus on the Sierpinski gasket. II: Point singularities, eigenfunctions, and normal derivatives of the heat kernel. Zbl 1098.31004 Ben-Gal, Nitsan; Shaw-Krauss, Abby; Strichartz, Robert S.; Young, Clint 17 2006 Uncertainty principles in harmonic analysis. Zbl 0682.43005 Strichartz, Robert S. 17 1989 Linear algebra of curvature tensors and their covariant derivatives. Zbl 0652.53012 Strichartz, Robert S. 17 1988 The explicit Fourier decomposition of \(L^2(SO(n)/SO(n-m))\). Zbl 0275.43009 Strichartz, Robert S. 16 1975 A fractal quantum mechanical model with Coulomb potential. Zbl 1167.28308 Strichartz, Robert S. 15 2009 Distribution theory on p.c.f. fractals. Zbl 1219.28011 Rogers, Luke G.; Strichartz, Robert S. 15 2010 Piecewise linear wavelets on Sierpinski gasket type fractals. Zbl 0895.42015 Strichartz, Robert S. 15 1997 Analysis of the Laplacian and spectral operators on the Vicsek set. Zbl 1242.28009 Constantin, Sarah; Strichartz, Robert S.; Wheeler, Miles 15 2011 The spectrum of the Laplacian on the pentagasket. Zbl 1037.31010 Adams, Bryant; Smith, S. Alex; Strichartz, Robert S.; Teplyaev, Alexander 15 2003 Sampling theory with average values on the Sierpinski gasket. Zbl 1357.28013 Ravier, Robert J.; Strichartz, Robert S. 15 2016 Dirichlet forms on the Sierpiński gasket. Zbl 1067.31011 Meyers, Robert; Strichartz, Robert S.; Teplyaev, Alexander 14 2004 \(L^ p\) estimates for integral transforms. Zbl 0174.16402 Strichartz, Robert S. 14 1969 Boundary value problems for harmonic functions on a domain in the Sierpinski gasket. Zbl 1272.28010 Owen, Justin; Strichartz, Robert S. 13 2012 Traces of BMO-Sobolev spaces. Zbl 0474.46024 Strichartz, Robert S. 13 1981 Gradients of Laplacian eigenfunctions on the Sierpinski gasket. Zbl 1167.28004 Degrado, Jessica L.; Rogers, Luke G.; Strichartz, Robert S. 13 2009 \(L^ p\) contractive projections and the heat semigroup for differential forms. Zbl 0587.58044 Strichartz, Robert S. 13 1986 Numerical experiments in Fourier asymptotics of Cantor measures and wavelets. Zbl 0788.65129 Janardhan, Prem; Rosenblum, David; Strichartz, Robert S. 13 1992 Pseudo-differential operators on fractals and other metric measure spaces. Zbl 1287.35111 Ionescu, Marius; Rogers, Luke G.; Strichartz, Robert S. 13 2013 Green’s functions on fractals. Zbl 0983.31005 Kigami, Jun; Sheldon, Daniel R.; Strichartz, Robert S. 13 2000 Smooth bumps, a Borel theorem and partitions of smooth functions on p.c.f. Fractals. Zbl 1213.28007 Rogers, Luke G.; Strichartz, Robert S.; Teplyaev, Alexander 12 2009 Estimates for sums of eigenvalues for domains in homogeneous spaces. Zbl 0848.58050 Strichartz, Robert S. 12 1996 Fourier transforms and non-compact rotation groups. Zbl 0295.42015 Strichartz, Robert S. 12 1974 Besicovitch meets Wiener-Fourier expansions and fractal measures. Zbl 0668.28003 Strichartz, Robert S. 12 1989 Sampling on the Sierpinski gasket. Zbl 1057.28004 Oberlin, Richard; Street, Brian; Strichartz, Robert S. 12 2003 Isomorphisms of group algebras. Zbl 0168.11403 Strichartz, R. S. 12 1966 Laplacians on a family of quadratic Julia sets. Part I. Zbl 1290.28011 Flock, Taryn C.; Strichartz, Robert S. 11 2012 Conformal energy, conformal Laplacian, and energy measures on the Sierpinski gasket. Zbl 1169.28004 Azzam, Jonas; Hall, Michael A.; Strichartz, Robert S. 11 2008 Outer approximation of the spectrum of a fractal Laplacian. Zbl 1179.28013 Berry, Tyrus; Heilman, Steven M.; Strichartz, Robert S. 11 2009 The Hardy space \(H^1\) on manifolds and submanifolds. Zbl 0238.58008 Strichartz, Robert S. 11 1972 Numerical analysis on the Sierpinski gasket, with applications to Schrödinger equations, wave equation, and Gibbs’ phenomenon. Zbl 1304.28005 Coletta, Kevin; Dias, Kealey; Strichartz, Robert S. 11 2004 Sampling theory for functions with fractal spectrum. Zbl 1014.94006 Huang, Nina N.; Strichartz, Robert S. 11 2001 “Graph paper” trace characterizations of functions of finite energy. Zbl 1342.28005 Strichartz, Robert S. 11 2016 Orthogonal polynomials with respect to self-similar measures. Zbl 1262.33010 Heilman, Steven M.; Owrutsky, Philip; Strichartz, Robert S. 10 2011 Harmonic oscillators on infinite Sierpinski gaskets. Zbl 1176.31017 Fan, Edward; Khandker, Zuhair; Strichartz, Robert S. 10 2009 How to make wavelets. Zbl 0793.42021 Strichartz, Robert S. 10 1993 Mean value properties of harmonic functions on Sierpinski gasket type fractals. Zbl 1306.28012 Qiu, Hua; Strichartz, Robert S. 10 2013 Weak uncertainty principles on fractals. Zbl 1087.42002 Okoudjou, Kasso A.; Strichartz, Robert S. 9 2005 Asymptotic behavior of waves. Zbl 0484.35070 Strichartz, Robert S. 9 1981 Geometry of self-affine tiles. II. Zbl 0938.52018 Kenyon, Richard; Li, Jie; Strichartz, Robert S.; Wang, Yang 9 1999 Invariant pseudo-differential operators on a Lie group. Zbl 0244.35071 Strichartz, Robert S. 9 1972 Geometry and Laplacian on discrete magic carpets. Zbl 1538.28033 Siu, Chunyin; Strichartz, Robert S. 1 2022 Spectral properties of Laplacians on snowflake domains and filled Julia sets. Zbl 1497.35326 Strichartz, Robert S.; Wiese, Samuel C. 1 2022 Existence and uniqueness of diffusions on the Julia sets of Misiurewicz-Sierpinski maps. Zbl 1477.28006 Cao, Shiping; Haßler, Malte S.; Qiu, Hua; Sandine, Ely; Strichartz, Robert S. 6 2021 Spectral analysis beyond \(\ell^2\) on Sierpinski lattices. Zbl 1482.05189 Cao, Shiping; Huang, Yiqi; Qiu, Hua; Strichartz, Robert S.; Zhu, Xiaohan 1 2021 Sobolev orthogonal polynomials on the Sierpinski gasket. Zbl 1462.42045 Jiang, Qingxuan; Lan, Tian; Okoudjou, Kasso A.; Strichartz, Robert S.; Sule, Shashank; Venkat, Sreeram; Wang, Xiaoduo 1 2021 Spectrum of the Laplacian on regular polyhedra. Zbl 1471.35210 Greif, Evan; Kaplan, Daniel; Strichartz, Robert S.; Wiese, Samuel C. 1 2021 Analysis on hybrid fractals. Zbl 1426.28014 Alonso Ruiz, Patricia; Chen, Y.; Gu, H.; Strichartz, R. S.; Zhou, Z. 6 2020 Defining curvature as a measure via Gauss-Bonnet on certain singular surfaces. Zbl 1443.53006 Strichartz, Robert S. 5 2020 Spectral decimation for families of self-similar symmetric Laplacians on the Sierpiński gasket. Zbl 1437.30016 Fang, Sizhen; King, Dylan A.; Lee, Eun Bi; Strichartz, Robert S. 4 2020 A convex surface with fractal curvature. Zbl 1441.28006 Dima, Iancu; Popp, Rachel; Strichartz, Robert S.; Wiese, Samuel C. 3 2020 A trace theorem for Sobolev spaces on the Sierpinski gasket. Zbl 1439.28009 Cao, Shiping; Li, Shuangping; Strichartz, Robert S.; Talwai, Prem 3 2020 Polynomials on the Sierpiński gasket with respect to different Laplacians which are symmetric and self-similar. Zbl 1455.28010 Loring, Christian; Ogden, W. Jacob; Sandine, Ely; Strichartz, Robert S. 2 2020 Analysis, probability and mathematical physics on fractals. Based on the presentations at the 6th conference, Cornell University, Ithaca, NY, USA, June 2017. Zbl 1446.28002 2 2020 Analysis on the projective octagasket. Zbl 1453.28011 Mao, Yiran; Strichartz, Robert S.; Szabo, Levente; Wong, Wing Hong 1 2020 The Mathieu differential equation and generalizations to infinite fractafolds. Zbl 1454.34049 Cao, Shiping; Coniglio, Anthony; Niu, Xueyan; Rand, Richard H.; Strichartz, Robert S. 1 2020 Unexpected spectral asymptotics for wave equations on certain compact spacetimes. Zbl 1516.35291 Fox, Jonathan; Strichartz, Robert S. 3 2018 Numerical integration for fractal measures. Zbl 1465.65022 Malmquist, Jens; Strichartz, Robert S. 2 2018 Sampling theory with average values on the Sierpinski gasket. Zbl 1357.28013 Ravier, Robert J.; Strichartz, Robert S. 15 2016 “Graph paper” trace characterizations of functions of finite energy. Zbl 1342.28005 Strichartz, Robert S. 11 2016 Average number of lattice points in a disk. Zbl 1333.52020 Jayakar, Sujay; Strichartz, Robert S. 9 2016 Average error for spectral asymptotics on surfaces. Zbl 1330.47012 Strichartz, Robert S. 8 2016 Half sampling on bipartite graphs. Zbl 1348.05129 Strichartz, Robert S. 5 2016 Spectral asymptotics on compact Heisenberg manifolds. Zbl 1343.35180 Strichartz, Robert S. 2 2016 Using Peano curves to construct Laplacians on fractals. Zbl 1342.28020 Molitor, Denali; Ott, Nadia; Strichartz, Robert 9 2015 Hodge-de Rham theory of \(k\)-forms on carpet type fractals. Zbl 1323.28008 Bello, Jason; Li, Yiran; Strichartz, Robert S. 4 2015 Another way to look at spectral asymptotics on spheres. Zbl 1311.58018 Strichartz, Robert S. 2 2015 Energy measures of harmonic functions on the Sierpiński Gasket. Zbl 1387.28009 Bell, Renee; Ho, Ching Wei; Strichartz, Robert S. 9 2014 Boundary value problems for a family of domains in the Sierpinski gasket. Zbl 1323.28013 Guo, Zijian; Kogan, Rachel; Qiu, Hua; Strichartz, Robert S. 9 2014 Boundary value problems on a half Sierpiński gasket. Zbl 1294.28010 Li, Weilin; Strichartz, Robert S. 8 2014 Hodge-de Rham theory on fractal graphs and fractals. Zbl 1279.28011 Aaron, Skye; Conn, Zach; Strichartz, Robert S.; Yu, Hui 6 2014 Extensions and their minimizations on the Sierpinski gasket. Zbl 1306.28010 Li, Pak-Hin; Ryder, Nicholas; Strichartz, Robert S.; Ugurcan, Baris Evren 5 2014 Pseudo-differential operators on fractals and other metric measure spaces. Zbl 1287.35111 Ionescu, Marius; Rogers, Luke G.; Strichartz, Robert S. 13 2013 Mean value properties of harmonic functions on Sierpinski gasket type fractals. Zbl 1306.28012 Qiu, Hua; Strichartz, Robert S. 10 2013 Laplacians on a family of quadratic Julia sets. II. Zbl 1264.28003 Aougab, Tarik; Dong, Stella Chuyue; Strichartz, Robert S. 7 2013 Laplacians on Julia sets. III: Cubic Julia sets and formal matings. Zbl 1321.37047 Spicer, Calum; Strichartz, Robert S.; Totari, Emad 5 2013 Orthogonal polynomials on the Sierpinski gasket. Zbl 1273.42028 Okoudjou, Kasso A.; Strichartz, Robert S.; Tuley, Elizabeth K. 4 2013 Spectral analysis on infinite Sierpiński fractafolds. Zbl 1272.28012 Strichartz, Robert S.; Teplyaev, Alexander 33 2012 Boundary value problems for harmonic functions on a domain in the Sierpinski gasket. Zbl 1272.28010 Owen, Justin; Strichartz, Robert S. 13 2012 Laplacians on a family of quadratic Julia sets. Part I. Zbl 1290.28011 Flock, Taryn C.; Strichartz, Robert S. 11 2012 Spectral asymptotics revisited. Zbl 1259.47006 Strichartz, Robert S. 8 2012 Exact spectral asymptotics on the Sierpinski gasket. Zbl 1284.28005 Strichartz, Robert S. 6 2012 Analysis of the Laplacian and spectral operators on the Vicsek set. Zbl 1242.28009 Constantin, Sarah; Strichartz, Robert S.; Wheeler, Miles 15 2011 Orthogonal polynomials with respect to self-similar measures. Zbl 1262.33010 Heilman, Steven M.; Owrutsky, Philip; Strichartz, Robert S. 10 2011 The resolvent kernel for PCF self-similar fractals. Zbl 1204.28013 Ionescu, Marius; Pearse, Erin P. J.; Rogers, Luke G.; Ruan, Huo-Jun; Strichartz, Robert S. 20 2010 Distribution theory on p.c.f. fractals. Zbl 1219.28011 Rogers, Luke G.; Strichartz, Robert S. 15 2010 Transformation of spectra of graph laplacians. Zbl 1206.05065 Strichartz, Robert S. 8 2010 Szegö limit theorems on the Sierpiński gasket. Zbl 1194.28012 Okoudjou, Kasso A.; Rogers, Luke G.; Strichartz, Robert S. 7 2010 Localized eigenfunctions: here you see them, there you don’t. Zbl 1194.35283 Heilman, Steven M.; Strichartz, Robert S. 5 2010 Local behavior of smooth functions for the energy Laplacian on the Sierpinski gasket. Zbl 1223.28014 Strichartz, Robert S.; Tse, Shu Tong 4 2010 Homotopies of eigenfunctions and the spectrum of the Laplacian on the Sierpinski carpet. Zbl 1194.28009 Heilman, Steven M.; Strichartz, Robert S. 2 2010 Waves are recurrent on noncompact fractals. Zbl 1187.28005 Strichartz, Robert S. 2 2010 Homeomorphisms of fractafolds. Zbl 1219.28008 Chan, Ying Ying; Strichartz, Robert S. 1 2010 Spectral decimation on Hambly’s homogeneous hierarchical gaskets. Zbl 1211.28005 Drenning, Shawn; Strichartz, Robert S. 17 2009 A fractal quantum mechanical model with Coulomb potential. Zbl 1167.28308 Strichartz, Robert S. 15 2009 Gradients of Laplacian eigenfunctions on the Sierpinski gasket. Zbl 1167.28004 Degrado, Jessica L.; Rogers, Luke G.; Strichartz, Robert S. 13 2009 Smooth bumps, a Borel theorem and partitions of smooth functions on p.c.f. Fractals. Zbl 1213.28007 Rogers, Luke G.; Strichartz, Robert S.; Teplyaev, Alexander 12 2009 Outer approximation of the spectrum of a fractal Laplacian. Zbl 1179.28013 Berry, Tyrus; Heilman, Steven M.; Strichartz, Robert S. 11 2009 Harmonic oscillators on infinite Sierpinski gaskets. Zbl 1176.31017 Fan, Edward; Khandker, Zuhair; Strichartz, Robert S. 10 2009 Periodic and almost periodic functions on infinite Sierpiński gaskets. Zbl 1176.28009 Strichartz, Robert S. 8 2009 Spectral operators on the Sierpinski gasket. I. Zbl 1188.28006 Allan, Adam; Barany, Michael; Strichartz, Robert S. 7 2009 Generalized eigenfunctions and a Borel theorem on the Sierpinski gasket. Zbl 1186.28008 Okoudjou, Kasso A.; Rogers, Luke G.; Strichartz, Robert S. 5 2009 Covering maps and periodic functions on higher dimensional Sierpiński gaskets. Zbl 1176.28008 Ruan, Huo-Jun; Strichartz, Robert S. 5 2009 Conformal energy, conformal Laplacian, and energy measures on the Sierpinski gasket. Zbl 1169.28004 Azzam, Jonas; Hall, Michael A.; Strichartz, Robert S. 11 2008 Spectra of self-similar Laplacians on the Sierpinski gasket with twists. Zbl 1523.35229 Blasiak, Anna; Strichartz, Robert S.; Ugurcan, Baris Evren 3 2008 Partial differential equations on products of Sierpiński gaskets. Zbl 1144.31004 Bockelman, Brian; Strichartz, Robert S. 23 2007 Asymptotics of eigenvalue clusters for Schrödinger operators on the Sierpiński gasket. Zbl 1117.35059 Okoudjou, Kasso A.; Strichartz, Robert S. 8 2007 Self-similar energy forms on the Sierpinski gasket with twists. Zbl 1127.28005 Cucuringu, Mihai; Strichartz, Robert S. 6 2007 Local behavior of harmonic functions on the Sierpinski gasket. Zbl 1207.31006 Avenancio-Leon, Carlos; Strichartz, Robert S. 3 2007 Differential equations on fractals. A tutorial. Zbl 1190.35001 Strichartz, Robert S. 255 2006 Convergence of mock Fourier series. Zbl 1134.42308 Strichartz, Robert S. 117 2006 Calculus on the Sierpinski gasket. II: Point singularities, eigenfunctions, and normal derivatives of the heat kernel. Zbl 1098.31004 Ben-Gal, Nitsan; Shaw-Krauss, Abby; Strichartz, Robert S.; Young, Clint 17 2006 Laplacians on fractals with spectral gaps have nicer Fourier series. Zbl 1070.42002 Strichartz, Robert S. 27 2005 Analysis on products of fractals. Zbl 1056.31006 Strichartz, Robert S. 25 2005 Solvability for differential equations on fractals. Zbl 1091.35001 Strichartz, Robert S. 18 2005 Weak uncertainty principles on fractals. Zbl 1087.42002 Okoudjou, Kasso A.; Strichartz, Robert S. 9 2005 Outer boundaries of self-similar tiles. Zbl 1082.52501 Drenning, Shawn; Palagallo, Judith; Price, Thomas; Strichartz, Robert S. 1 2005 \(p\)-energy and \(p\)-harmonic functions on Sierpinski gasket type fractals. Zbl 1044.31006 Herman, P. Edward; Peirone, Roberto; Strichartz, Robert S. 26 2004 The \(p\)-Laplacian on the Sierpinski gasket. Zbl 1092.35035 Strichartz, Robert S.; Wong, Carto 21 2004 Calculus on the Sierpinski gasket. I: Polynomials, exponentials and power series. Zbl 1082.31004 Needleman, Jonathan; Strichartz, Robert S.; Teplyaev, Alexander; Yung, Po-Lam 21 2004 Dirichlet forms on the Sierpiński gasket. Zbl 1067.31011 Meyers, Robert; Strichartz, Robert S.; Teplyaev, Alexander 14 2004 Numerical analysis on the Sierpinski gasket, with applications to Schrödinger equations, wave equation, and Gibbs’ phenomenon. Zbl 1304.28005 Coletta, Kevin; Dias, Kealey; Strichartz, Robert S. 11 2004 Function spaces on fractals. Zbl 1023.46034 Strichartz, Robert S. 50 2003 Fractafolds based on the Sierpiński gasket and their spectra. Zbl 1041.28006 Strichartz, Robert S. 50 2003 A guide to distribution theory and Fourier transforms. Zbl 1029.46039 Strichartz, Robert S. 44 2003 The spectrum of the Laplacian on the pentagasket. Zbl 1037.31010 Adams, Bryant; Smith, S. Alex; Strichartz, Robert S.; Teplyaev, Alexander 15 2003 Sampling on the Sierpinski gasket. Zbl 1057.28004 Oberlin, Richard; Street, Brian; Strichartz, Robert S. 12 2003 Energy partition on fractals. Zbl 1037.31011 Stanley, Jeremy; Strichartz, Robert S.; Teplyaev, Alexander 4 2003 Inside the Lévy dragon. Zbl 1040.28007 Bailey, Scott; Kim, Theodore; Strichartz, Robert S. 9 2002 Level sets of harmonic functions on the Sierpiński gasket. Zbl 1038.31005 Öberg, Anders; Strichartz, Robert S.; Yingst, Andrew Q. 6 2002 Harmonic mappings of the Sierpinski gasket to the circle. Zbl 0985.28009 Strichartz, Robert S. 1 2002 The finite element method on the Sierpinski gasket. Zbl 0991.28007 Gibbons, Michael; Raj, Arjun; Strichartz, Robert S. 23 2001 The Laplacian on the Sierpinski gasket via the method of averages. Zbl 1090.35064 Strichartz, Robert S. 20 2001 Constructing a Laplacian on the diamond fractal. Zbl 0999.31007 Kigami, Jun; Strichartz, Robert S.; Walker, Katharine C. 18 2001 Sampling theory for functions with fractal spectrum. Zbl 1014.94006 Huang, Nina N.; Strichartz, Robert S. 11 2001 Mock Fourier series and transforms associated with certain Cantor measures. Zbl 0976.42020 Strichartz, Robert S. 188 2000 Taylor approximations on Sierpinski gasket type fractals. Zbl 0956.31007 Strichartz, Robert S. 43 2000 Splines on fractals. Zbl 0978.31005 Strichartz, Robert S.; Usher, Michael 36 2000 Green’s functions on fractals. Zbl 0983.31005 Kigami, Jun; Sheldon, Daniel R.; Strichartz, Robert S. 13 2000 The shape of the error in wavelet approximation and piecewise linear interpolation. Zbl 0977.42021 Strichartz, Robert S. 4 2000 Evaluating integrals using self-similarity. Zbl 1009.26011 Strichartz, Robert S. 3 2000 ...and 86 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,086 Authors 106 Strichartz, Robert Stephen 50 Jørgensen, Palle E. T. 38 Teplyaev, Alexander 33 Lau, Kasing 30 Dutkay, Dorin Ervin 29 Dong, Xinhan 24 Qiu, Hua 24 Rubin, Boris 23 Li, Jianlin 23 Ngai, Sze-Man 23 Rogers, Luke G. 22 Miao, Changxing 22 Ponce, Gustavo 22 Seo, Ihyeok 20 Kenig, Carlos Eduardo 18 Cao, Shiping 18 Liu, Jingcheng 18 Thangavelu, Sundaram 17 He, Xinggang 17 Vega, Luis 16 Baudoin, Fabrice 16 Hinz, Michael 16 Müller, Detlef 16 Sogge, Christopher D. 16 Wang, Zhiyong 15 Lai, Chun-Kit 15 Murphy, Jason 15 Visan, Monica 14 Dodson, Benjamin G. 14 Fan, Dashan 14 He, Jianxun 14 Koh, Youngwoo 14 Ruzhansky, Michael V. 13 Lee, Sanghyuk 13 Mejjaoli, Hatem 13 Okoudjou, Kasso A. 12 Chang, Der-Chen E. 12 Ebrahimi-Fard, Kurusch 12 Killip, Rowan 12 Ozawa, Tohru 12 Sickel, Winfried 12 Tang, Wei 12 Wu, Zhiyi 11 An, Lixiang 11 Chen, Yanping 11 Fu, Yan-Song 11 Oliveira e Silva, Diogo 11 Weber, Eric S. 11 Yang, Dachun 11 Zheng, Jiqiang 10 Chen, Ming-Liang 10 Cianchi, Andrea 10 Deng, Qirong 10 Golmankhaneh, Alireza Khalili 10 Markina, Irina 10 Nakamura, Makoto 10 Ricci, Fulvio 10 Rizzi, Luca 10 Steinhurst, Benjamin 10 Tang, Min-wei 10 Xiao, Jie 10 Zhang, Junyong 9 Alonso-Ruiz, Patricia 9 Chen, Jiecheng 9 Dai, Xinrong 9 Dragomir, Sorin 9 Grong, Erlend 9 Hu, Jiaxin 9 Maz’ya, Vladimir Gilelevich 9 Mizutani, Haruya 9 Oh, Tadahiro 9 Ruan, Huo-Jun 9 Triebel, Hans 9 Vallarino, Maria 9 Zhang, Pengfei 8 Blair, Matthew D. 8 Branson, Thomas Patrick 8 Chen, Li 8 David, Claire 8 Fanelli, Luca 8 Fu, Xiaoye 8 Hayashi, Nakao 8 Iosevich, Alex 8 Li, Jinjun 8 Li, Pengtao 8 Liu, Heping 8 Liu, Liguang 8 Russ, Emmanuel 8 Sarkar, Rudra P. 8 Tataru, Daniel 8 Thuswaldner, Jörg Maximilian 8 Wang, Yang 7 Ai, Wenhui 7 Baladi, Viviane 7 Barnsley, Michael Fielding 7 Bruno, Tommaso 7 Cazenave, Thierry 7 Cho, Ilwoo 7 Costarelli, Danilo 7 Ding, Yong ...and 2,986 more Authors all top 5 Cited in 437 Serials 240 Journal of Functional Analysis 146 Journal of Mathematical Analysis and Applications 110 Transactions of the American Mathematical Society 85 The Journal of Fourier Analysis and Applications 80 Advances in Mathematics 76 The Journal of Geometric Analysis 75 Proceedings of the American Mathematical Society 63 Fractals 53 Mathematische Zeitschrift 50 Communications in Mathematical Physics 50 Communications in Partial Differential Equations 49 Journal d’Analyse Mathématique 49 Journal of Differential Equations 45 Mathematische Nachrichten 44 Journal of Mathematical Physics 43 Nonlinear Analysis. 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Physique Théorique 8 Abstract and Applied Analysis 8 Journal of the European Mathematical Society (JEMS) 8 Journal of Evolution Equations 8 Journal of Hyperbolic Differential Equations 8 Nonlinear Analysis. Theory, Methods & Applications 7 Journal of Statistical Physics 7 Rocky Mountain Journal of Mathematics 7 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 7 Canadian Mathematical Bulletin 7 Geometriae Dedicata 7 Zeitschrift für Analysis und ihre Anwendungen 7 Discrete & Computational Geometry 7 Geometric and Functional Analysis. GAFA 7 Journal of Lie Theory 7 Fractional Calculus & Applied Analysis 7 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 7 Analysis and Applications (Singapore) 6 Inverse Problems 6 Reviews in Mathematical Physics ...and 337 more Serials all top 5 Cited in 60 Fields 1,109 Partial differential equations (35-XX) 790 Measure and integration (28-XX) 779 Harmonic analysis on Euclidean spaces (42-XX) 461 Functional analysis (46-XX) 361 Operator theory (47-XX) 358 Global analysis, analysis on manifolds (58-XX) 302 Differential geometry (53-XX) 257 Abstract harmonic analysis (43-XX) 211 Probability theory and stochastic processes (60-XX) 199 Topological groups, Lie groups (22-XX) 164 Quantum theory (81-XX) 159 Potential theory (31-XX) 152 Dynamical systems and ergodic theory (37-XX) 129 Integral transforms, operational calculus (44-XX) 110 Real functions (26-XX) 90 Numerical analysis (65-XX) 83 Combinatorics (05-XX) 68 Approximations and expansions (41-XX) 67 Functions of a complex variable (30-XX) 66 Number theory (11-XX) 60 Fluid mechanics (76-XX) 59 Convex and discrete geometry (52-XX) 52 Ordinary differential equations (34-XX) 52 Calculus of variations and optimal control; optimization (49-XX) 50 Several complex variables and analytic spaces (32-XX) 43 Statistical mechanics, structure of matter (82-XX) 39 Special functions (33-XX) 37 Information and communication theory, circuits (94-XX) 32 Relativity and gravitational theory (83-XX) 31 Systems theory; control (93-XX) 30 Nonassociative rings and algebras (17-XX) 29 Optics, electromagnetic theory (78-XX) 26 Difference and functional equations (39-XX) 24 Group theory and generalizations (20-XX) 22 General topology (54-XX) 21 Integral equations (45-XX) 18 Mechanics of particles and systems (70-XX) 17 Biology and other natural sciences (92-XX) 16 Linear and multilinear algebra; matrix theory (15-XX) 16 Statistics (62-XX) 16 Computer science (68-XX) 15 Associative rings and algebras (16-XX) 15 Manifolds and cell complexes (57-XX) 15 Mechanics of deformable solids (74-XX) 13 Geometry (51-XX) 7 General and overarching topics; collections (00-XX) 7 Algebraic geometry (14-XX) 6 Operations research, mathematical programming (90-XX) 4 Classical thermodynamics, heat transfer (80-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 History and biography (01-XX) 3 Mathematical logic and foundations (03-XX) 3 Category theory; homological algebra (18-XX) 3 Sequences, series, summability (40-XX) 3 Geophysics (86-XX) 2 Commutative algebra (13-XX) 2 \(K\)-theory (19-XX) 2 Algebraic topology (55-XX) 1 General algebraic systems (08-XX) 1 Field theory and polynomials (12-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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