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  1. 1. Black fractals

    Författare :Thorbjörn Farestam; Chalmers tekniska högskola; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; fractal structure; metal aggregates; gas evaporation; projection;

    Sammanfattning : .... LÄS MER

  3. 2. Multiwavelet analysis on fractals

    Författare :Andreas Brodin; Alf Jonsson; Per-Anders Ivert; Umeå universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Wavelets; Fractals; Pointwise convergence; Besov spaces; Regularization; MATHEMATICS; MATEMATIK;

    Sammanfattning : This thesis consists of an introduction and a summary, followed by two papers, both of them on the topic of function spaces on fractals. Paper I: Andreas Brodin, Pointwise Convergence of Haar type Wavelets on Self-Similar Sets, Manuscript. LÄS MER

  4. 3. Characterisations of function spaces on fractals

    Författare :Mats Bodin; Umeå universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; function spaces; wavelets; bases; fractals; triangulations; iterated function systems; MATHEMATICS; MATEMATIK;

    Sammanfattning : This thesis consists of three papers, all of them on the topic of function spaces on fractals.The papers summarised in this thesis are:Paper I Mats Bodin, Wavelets and function spaces on Mauldin-Williams fractals, Research Report in Mathematics No. 7, Umeå University, 2005. LÄS MER

  5. 4. Spectral graph theory on Pre-fractals

    Författare :Konstantinos Tsougkas; Anders Karlsson; Uppsala universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Fractals;

    Sammanfattning : .... LÄS MER

  7. 5. A Study of Smooth Functions and Differential Equations on Fractals

    Författare :Anders Pelander; Anders Öberg; Svante Janson; Alexander Teplyaev; Tom Lindström; Uppsala universitet; []
    Nyckelord :Mathematical analysis; Analysis on fractals; p.c.f. fractals; Sierpinski gasket; Laplacian; differential equations on fractals; infinite dimensional i.f.s.; invariant measure; harmonic functions; smooth functions; derivatives; products of random matrices; Matematisk analys;

    Sammanfattning : In 1989 Jun Kigami made an analytic construction of a Laplacian on the Sierpiński gasket, a construction that he extended to post critically finite fractals. Since then, this field has evolved into a proper theory of analysis on fractals. The new results obtained in this thesis are all in the setting of Kigami's theory. LÄS MER