| Publication | Date of Publication | Type |
|---|
| SPECTRA OF SELF-SIMILAR LAPLACIANS ON THE SIERPINSKI GASKET WITH TWISTS | 2023-11-13 | Paper |
| Geometry and Laplacian on discrete magic carpets | 2023-07-19 | Paper |
| Spectral Properties of Laplacians on Snowflake Domains and Filled Julia Sets | 2022-09-22 | Paper |
| EIGENVALUES OF LAPLACIANS ON HIGHER DIMENSIONAL VICSEK SET GRAPHS | 2022-03-15 | Paper |
| Existence and uniqueness of diffusions on the Julia sets of Misiurewicz-Sierpinski maps | 2021-08-23 | Paper |
| Spectral analysis beyond \(\ell^2\) on Sierpinski lattices | 2021-08-17 | Paper |
| Sobolev orthogonal polynomials on the Sierpinski gasket | 2021-05-06 | Paper |
| Spectrum of the Laplacian on regular polyhedra | 2021-03-24 | Paper |
| Polynomials on the Sierpiński gasket with respect to different Laplacians which are symmetric and self-similar | 2021-01-04 | Paper |
| Analysis on the Projective Octagasket | 2020-12-02 | Paper |
| A CONVEX SURFACE WITH FRACTAL CURVATURE | 2020-09-22 | Paper |
| A trace theorem for Sobolev spaces on the Sierpinski gasket | 2020-06-02 | Paper |
| Spectral decimation for families of self-similar symmetric Laplacians on the Sierpiński gasket | 2020-05-05 | Paper |
| SPECTRUM OF THE LAPLACIAN ON THE VICSEK SET “WITH NO LOOSE ENDS” | 2020-03-12 | Paper |
| Defining curvature as a measure via Gauss-Bonnet on certain singular surfaces | 2020-03-05 | Paper |
| The Mathieu differential equation and generalizations to infinite fractafolds | 2020-02-28 | Paper |
| Laplacians on Julia sets of rational maps | 2020-01-11 | Paper |
| Analysis on hybrid fractals | 2019-11-04 | Paper |
| Unexpected spectral asymptotics for wave equations on certain compact spacetimes | 2019-01-30 | Paper |
| Spectral Asymptotics of the Laplacian on Surfaces of Constant Curvature | 2018-09-24 | Paper |
| Sparse Averages of Partial Sums of Fourier Series | 2018-07-19 | Paper |
| Numerical integration for fractal measures | 2018-06-28 | Paper |
| Half sampling on bipartite graphs | 2016-11-01 | Paper |
| Sampling theory with average values on the Sierpinski gasket | 2016-10-21 | Paper |
| Spectral asymptotics on compact Heisenberg manifolds | 2016-07-28 | Paper |
| USING PEANO CURVES TO CONSTRUCT LAPLACIANS ON FRACTALS | 2016-07-05 | Paper |
| ``Graph paper trace characterizations of functions of finite energy | 2016-04-29 | Paper |
| The Abelian Sandpile Model on Fractal Graphs | 2016-02-10 | Paper |
| Average number of lattice points in a disk | 2016-01-19 | Paper |
| Average error for spectral asymptotics on surfaces | 2016-01-19 | Paper |
| Hodge-de Rham Theory of K-Forms on Carpet Type Fractals | 2015-10-08 | Paper |
| Laplacians on Julia Sets III: Cubic Julia Sets and Formal Matings | 2015-10-05 | Paper |
| Boundary value problems for a family of domains in the Sierpinski gasket | 2015-08-25 | Paper |
| Another way to look at spectral asymptotics on spheres | 2015-05-11 | Paper |
| NUMERICAL ANALYSIS ON THE SIERPINSKI GASKET, WITH APPLICATIONS TO SCHRÖDINGER EQUATIONS, WAVE EQUATION, AND GIBBS' PHENOMENON | 2015-01-30 | Paper |
| Mean value properties of harmonic functions on Sierpinski gasket type fractals | 2015-01-09 | Paper |
| Extensions and their minimizations on the Sierpinski gasket | 2014-11-13 | Paper |
| Energy measures of harmonic functions on the Sierpinski gasket | 2014-10-31 | Paper |
| Unexpected Spectral Asymptotics for Wave Equations on certain Compact Spacetimes | 2014-07-09 | Paper |
| Boundary value problems on a half Sierpiński gasket | 2014-04-11 | Paper |
| Pseudo-differential operators on fractals and other metric measure spaces | 2014-02-21 | Paper |
| Hodge-de Rham theory on fractal graphs and fractals | 2013-11-13 | Paper |
| Laplacians on a family of quadratic Julia sets I | 2013-07-25 | Paper |
| Spectral analysis on infinite Sierpiński fractafolds | 2013-07-11 | Paper |
| Orthogonal polynomials on the Sierpinski gasket | 2013-06-25 | Paper |
| Laplacians on a family of quadratic Julia sets. II. | 2013-04-30 | Paper |
| Boundary value problems for harmonic functions on a domain in the Sierpinski gasket | 2013-04-25 | Paper |
| Orthogonal Polynomials with Respect to Self-Similar Measures | 2013-04-10 | Paper |
| Spectral asymptotics revisited | 2012-07-31 | Paper |
| Exact spectral asymptotics on the Sierpinski gasket | 2012-04-27 | Paper |
| Harmonic functions and the spectrum of the Laplacian on the Sierpinski carpet | 2012-01-24 | Paper |
| Analysis of the Laplacian and spectral operators on the Vicsek set | 2011-12-19 | Paper |
| Local behavior of smooth functions for the energy Laplacian on the Sierpinski gasket | 2011-06-21 | Paper |
| Distribution theory on p.c.f. fractals | 2011-03-10 | Paper |
| Homeomorphisms of fractafolds | 2011-03-04 | Paper |
| Transformation of spectra of graph laplacians | 2011-01-17 | Paper |
| Spectral decimation on Hambly's homogeneous hierarchical gaskets | 2010-12-08 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3588157 | 2010-09-10 | Paper |
| The resolvent kernel for PCF self-similar fractals | 2010-08-16 | Paper |
| Szegö limit theorems on the Sierpiński gasket | 2010-07-02 | Paper |
| HOMOTOPIES OF EIGENFUNCTIONS AND THE SPECTRUM OF THE LAPLACIAN ON THE SIERPINSKI CARPET | 2010-06-30 | Paper |
| Localized Eigenfunctions: Here You See Them, There You Don't | 2010-06-17 | Paper |
| Waves are recurrent on noncompact fractals | 2010-03-26 | Paper |
| Outer Approximation of the Spectrum of a Fractal Laplacian | 2010-01-13 | Paper |
| Covering Maps and Periodic Functions on Higher Dimensional Sierpinski Gaskets | 2009-10-14 | Paper |
| Periodic and Almost Periodic Functions on Infinite Sierpinski Gaskets | 2009-10-14 | Paper |
| Spectral operators on the Sierpinski gasket I | 2009-07-16 | Paper |
| Generalized Eigenfunctions and a Borel Theorem on the Sierpinski Gasket | 2009-05-05 | Paper |
| Smooth bumps, a Borel theorem and partitions of smooth functions on p.c.f. fractals | 2009-04-17 | Paper |
| A fractal quantum mechanical model with Coulomb potential | 2009-03-20 | Paper |
| Gradients of Laplacian eigenfunctions on the Sierpinski gasket | 2009-02-25 | Paper |
| Infinitesimal resistance metrics on Sierpinski gasket type fractals | 2008-11-03 | Paper |
| Local behavior of harmonic functions on the Sierpinski gasket | 2008-08-27 | Paper |
| Convergence of mock Fourier series | 2008-04-01 | Paper |
| Conformal energy, conformal Laplacian, and energy measures on the Sierpinski gasket | 2008-01-21 | Paper |
| Self-similar energy forms on the Sierpinski gasket with twists | 2007-08-17 | Paper |
| Partial differential equations on products of Sierpinski gaskets | 2007-08-01 | Paper |
| Asymptotics of eigenvalue clusters for Schrödinger operators on the Sierpiński gasket | 2007-05-15 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5491075 | 2006-09-28 | Paper |
| Calculus on the Sierpinski gasket II: Point singularities, eigenfunctions, and normal derivatives of the heat kernel | 2006-05-29 | Paper |
| Weak uncertainty principles on fractals | 2006-03-21 | Paper |
| Solvability for differential equations on fractals | 2006-03-09 | Paper |
| Outer Boundaries of Self-Similar Tiles | 2005-11-29 | Paper |
| Laplacians on fractals with spectral gaps have nicer Fourier series | 2005-09-12 | Paper |
| Dirichlet forms on the Sierpiński gasket | 2005-05-03 | Paper |
| Sampling on the Sierpinski Gasket | 2005-02-21 | Paper |
| Calculus on the Sierpinski gasket. I: Polynomials, exponentials and power series | 2004-11-23 | Paper |
| Analysis on products of fractals | 2004-10-28 | Paper |
| Thep-Laplacian on the Sierpinski gasket | 2004-08-16 | Paper |
| \(p\)-energy and \(p\)-harmonic functions on Sierpinski gasket type fractals | 2004-03-15 | Paper |
| Level sets of harmonic functions on the Sierpiński gasket | 2003-12-15 | Paper |
| Energy partition on fractals | 2003-10-13 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4430220 | 2003-10-06 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4427630 | 2003-09-22 | Paper |
| Inside the Levy Dragon | 2003-07-29 | Paper |
| Fractafolds based on the Sierpinski gasket and their spectra | 2003-07-28 | Paper |
| Function spaces on fractals | 2003-04-28 | Paper |
| Constructing a Laplacian on the Diamond Fractal | 2002-11-23 | Paper |
| The Laplacian on the Sierpinski gasket via the method of averages. | 2002-10-22 | Paper |
| Some properties of Laplacians on fractals | 2002-10-07 | Paper |
| Sampling Theory for Functions with Fractal Spectrum | 2002-09-12 | Paper |
| The finite element method on the Sierpinski gasket | 2002-08-24 | Paper |
| GREEN'S FUNCTIONS ON FRACTALS | 2002-04-25 | Paper |
| Splines on fractals | 2002-02-07 | Paper |
| Mock Fourier series and transforms associated with certain Cantor measures | 2001-12-28 | Paper |
| Harmonic mappings of the Sierpinski gasket to the circle | 2001-12-10 | Paper |
| Evaluating Integrals Using Self-Similarity | 2001-11-26 | Paper |
| Gibbs' phenomenon and arclength | 2001-08-30 | Paper |
| Remarks on ``Dense analytic subspaces in fractal \(L^2\)-spaces by P. E. T. Jorgensen and S. Pedersen | 2001-04-26 | Paper |
| Taylor approximations on Sierpinski gasket type fractals | 2001-01-11 | Paper |
| The shape of the error in wavelet approximation and piecewise linear interpolation | 2001-01-04 | Paper |
| Fractal differential equations on the Sierpiński gasket | 2000-05-30 | Paper |
| What is not in the domain of the Laplacian on Sierpinski gasket type fractals | 2000-05-10 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4270481 | 1999-11-24 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4270482 | 1999-11-24 | Paper |
| Exact Hausdorff measure and intervals of maximum density for Cantor sets | 1999-06-23 | Paper |
| Fractals in the Large | 1999-05-30 | Paper |
| Isoperimetric Estimates on Sierpinski Gasket Type Fractals | 1999-03-22 | Paper |
| Cauchy Transforms of Self-Similar Measures | 1999-02-02 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4365109 | 1998-07-09 | Paper |
| A search for best constants in the Hardy-Littlewood maximal theorem. | 1998-05-14 | Paper |
| Piecewise linear wavelets on Sierpinski gasket type fractals | 1997-10-26 | Paper |
| Nonlinear self-similar measures and their Fourier transforms | 1997-04-24 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3128817 | 1997-04-20 | Paper |
| Self-similarity in harmonic analysis | 1996-12-02 | Paper |
| Densities of Self-Similar Measures on the Line | 1996-10-31 | Paper |
| Estimates for sums of eigenvalues for domains in homogeneous spaces | 1996-10-27 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4876440 | 1996-05-05 | Paper |
| A fractal Radon inversion problem | 1995-08-23 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3139021 | 1994-09-26 | Paper |
| How to Make Wavelets | 1994-08-18 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4287683 | 1994-06-22 | Paper |
| Numerical Experiments in Fourier Asymptotics of Cantor Measures and Wavelets | 1993-12-20 | Paper |
| Characterization of Eigenfunctions of the Laplacian by Boundedness Conditions | 1993-11-01 | Paper |
| Wavelets and self-affine tilings | 1993-08-17 | Paper |
| Complementary series and exotic Sobolev norms | 1993-08-05 | Paper |
| Corrigendum to ``Harmonic analysis as spectral theory of Laplacians | 1993-06-29 | Paper |
| Self-Similar Measures and Their Fourier Transforms. II | 1993-05-16 | Paper |
| Spectral asymptotics of fractal measures on Riemannian manifolds | 1992-06-27 | Paper |
| $H^p$ Sobolev spaces | 1992-06-25 | Paper |
| Wavelet expansions of fractal measures | 1991-01-01 | Paper |
| L\({}^ p\) harmonic analysis and Radon transforms on the Heisenberg group | 1991-01-01 | Paper |
| Fourier asymptotics of fractal measures | 1990-01-01 | Paper |
| Harmonic analysis on constant curvature surfaces with point singularities | 1990-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3470664 | 1990-01-01 | Paper |
| Harmonic analysis as spectral theory of Laplacians | 1989-01-01 | Paper |
| Uncertainty principles in harmonic analysis | 1989-01-01 | Paper |
| Magnified Curves on a Flat Torus, Determination of Almost Periodic Functions, and the Riemann-Lebesgue Lemma | 1989-01-01 | Paper |
| Besicovitch meets Wiener—Fourier expansions and fractal measures | 1989-01-01 | Paper |
| Local harmonic analysis on spheres | 1988-01-01 | Paper |
| Linear Algebra of Curvature Tensors and Their Covariant Derivatives | 1988-01-01 | Paper |
| The Campbell-Baker-Hausdorff-Dynkin formula and solutions of differential equations | 1987-01-01 | Paper |
| Realms of mathematics: elliptic, hyperbolic, parabolic, sub-elliptic | 1987-01-01 | Paper |
| \(L^ p\) contractive projections and the heat semigroup for differential forms | 1986-01-01 | Paper |
| Sub-Riemannian geometry | 1986-01-01 | Paper |
| Harmonic Analysis on Grassmannian Bundles | 1986-01-01 | Paper |
| Mean Value Properties of the Laplacian via Spectral Theory | 1984-01-01 | Paper |
| Analysis of the Laplacian on a complete Riemannian manifold | 1983-01-01 | Paper |
| Improved Sobolev Inequalities | 1983-01-01 | Paper |
| Explicit solutions of Maxwell's equations on a space of constant curvature | 1982-01-01 | Paper |
| Compositions of singular integral operators | 1982-01-01 | Paper |
| A Poisson Summation Formula for Integrals Over Quadratic Surfaces | 1982-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3954180 | 1982-01-01 | Paper |
| Radon Inversion--Variations on a Theme | 1982-01-01 | Paper |
| Singular integrals supported on submanifolds | 1982-01-01 | Paper |
| \(L^ p\) estimates for Radon transforms in Euclidean and non-Euclidean spaces | 1981-01-01 | Paper |
| Asymptotic behavior of waves | 1981-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3916960 | 1981-01-01 | Paper |
| Traces of BMO-Sobolev Spaces | 1981-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3878202 | 1980-01-01 | Paper |
| Minimum-energy solutions of certain underdetermined problems in partial differential equations | 1978-01-01 | Paper |
| Restrictions of Fourier transforms to quadratic surfaces and decay of solutions of wave equations | 1977-01-01 | Paper |
| Bochner Identities for Fourier Transforms | 1977-01-01 | Paper |
| Singular Integrals on Nilpotent Lie Groups | 1975-01-01 | Paper |
| The Explicit Fourier Decomposition of L2SO(n)/SO(n - m)) | 1975-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4047966 | 1974-01-01 | Paper |
| Multiplier Transformations on Compact Lie Groups and Algebras | 1974-01-01 | Paper |
| Harmonic analysis on hyperboloids | 1973-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4772233 | 1973-01-01 | Paper |
| Boundary Values of Solutions of Elliptic Equations Satisfying H p Conditions | 1973-01-01 | Paper |
| The Hardy Space H1 on Manifolds and Submanifolds | 1972-01-01 | Paper |
| The Hardy Space H1 on Manifolds and Submanifolds | 1972-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5651750 | 1972-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5655799 | 1972-01-01 | Paper |
| A Functional Calculus for Elliptic Pseudo-Differential Operators | 1972-01-01 | Paper |
| Multipliers for Spherical Harmonic Expansions | 1972-01-01 | Paper |
| The stationary observer problem for \(\square u=Mu\) and related equations | 1971-01-01 | Paper |
| A Note on Sobolev Algebras | 1971-01-01 | Paper |
| A priori estimates for the wave equation and some applications | 1970-01-01 | Paper |
| Convolutions with Kernels Having Singularities on a Sphere | 1970-01-01 | Paper |
| L p Estimates for Integral Transforms | 1969-01-01 | Paper |
| A Multilinear Version of the Marcinkiewicz Interpolation Theorem | 1969-01-01 | Paper |
| Sobolev inequalities and extension theorems for functions with certain $L^{p}$ derivatives | 1968-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5550061 | 1968-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5522602 | 1967-01-01 | Paper |
| Isomorphisms of Group Algebras | 1966-01-01 | Paper |
| Isometric isomorphisms of measure algebras | 1965-01-01 | Paper |
