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Experimental Mathematics Volume 1, 1992 - Issue 4
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Original Articles

Numerical Experiments in Fourier Asymptotics of Cantor Measures and Wavelets

Prem Janardhan Susquehanna University, Selingrove, PA, 17870 E-mail: [email protected]
,
David Rosenblum Amherst College, P. O. Box 1647, Amherst, MA, 01002 E-mail: [email protected]
&
Robert S. Strichartz Mathematics Department, White Hall, Cornell University, Ithaca, NY, 14853 E-mail: [email protected]
Pages 249-273 | Published online: 03 Apr 2012

Citations (13)

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Read on this site (2)

NinaN. Huang & Roberts. Strichartz. (2001) Sampling Theory for Functions with Fractal Spectrum. Experimental Mathematics 10:4, pages 619-638.
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RobertS. Strichartz, Arthur Taylor & Tong Zhang. (1995) Densities of Self-Similar Measures on the Line. Experimental Mathematics 4:2, pages 101-128.
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Articles from other publishers (11)

Patricia Alonso Ruiz, Michael Hinz, Kasso A. Okoudjou, Luke G. Rogers & Alexander Teplyaev. 2023. From Classical Analysis to Analysis on Fractals. From Classical Analysis to Analysis on Fractals 3 15 .
Giorgio Mantica. (2015) Orthogonal polynomials of equilibrium measures supported on Cantor sets. Journal of Computational and Applied Mathematics 290, pages 239-258.
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Giorgio Mantica. (2013) Direct and inverse computation of Jacobi matrices of infinite iterated function systems. Numerische Mathematik 125:4, pages 705-731.
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Giorgio Mantica. (2010) Dynamical systems and numerical analysis: the study of measures generated by uncountable I.F.S.. Numerical Algorithms 55:2-3, pages 321-335.
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Hermano Frid & Jean Silva. (2009) Homogenization of Nonlinear PDEs in the Fourier–Stieltjes Algebras. SIAM Journal on Mathematical Analysis 41:4, pages 1589-1620.
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Antonis Bisbas. (2004) Coin-tossing measures and their Fourier transforms. Journal of Mathematical Analysis and Applications 299:2, pages 550-562.
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Ai Hua Fan. (2002) Asymptotic behaviour of multiperiodic functions scaled by Pisot numbers. Journal d'Analyse Math?matique 86:1, pages 271-287.
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Ai Hua Fan & Ka-Sing Lau. (1998) Asymptotic behavior of multiperiodic functions $$G(x) = \prod\limits_{n = 1}^\infty {g(x/2^n )} $$. The Journal of Fourier Analysis and Applications 4:2, pages 129-150.
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Jean Pierre Gazeau & Vyacheslav Spiridonov. (1996) Toward discrete wavelets with irrational scaling factor. Journal of Mathematical Physics 37:6, pages 3001-3013.
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Ka-Sing Lau & Jianrong Wang. (1995) Characterization of $L^p $-Solutions for the Two-Scale Dilation Equations. SIAM Journal on Mathematical Analysis 26:4, pages 1018-1046.
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Robert S. Strichartz. (1993) Self-similar measures and their Fourier transforms. II. Transactions of the American Mathematical Society 336:1, pages 335-361.
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