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- catalog abstract ""This book covers analysis on fractals, a developing area of mathematics which focuses on the dynamical aspects of fractals, such as heat diffusion of fractals and the vibration of a material with fractal structure. The book provides a self-contained introduction to the subject, starting from the basic geometry of self-similar sets and going on to discuss recent results, including the properties of eigenvalues and eigenfunctions of the Laplacians, and the asymptotical behaviors of heat kernels on self-similar sets." "Requiring only a basic knowledge of advanced analysis, general topology and measure theory, this book will be of value to graduate students and researchers in analysis and probability theory. It will also be useful as a supplementary text for graduate courses covering fractals."--Jacket.".
- catalog contributor b12165208.
- catalog created "c2001.".
- catalog date "2001".
- catalog date "c2001.".
- catalog dateCopyrighted "c2001.".
- catalog description ""This book covers analysis on fractals, a developing area of mathematics which focuses on the dynamical aspects of fractals, such as heat diffusion of fractals and the vibration of a material with fractal structure. The book provides a self-contained introduction to the subject, starting from the basic geometry of self-similar sets and going on to discuss recent results, including the properties of eigenvalues and eigenfunctions of the Laplacians, and the asymptotical behaviors of heat kernels on self-similar sets." "Requiring only a basic knowledge of advanced analysis, general topology and measure theory, this book will be of value to graduate students and researchers in analysis and probability theory. It will also be useful as a supplementary text for graduate courses covering fractals."--Jacket.".
- catalog description "Geometry of self-similar sets -- Analysis on limits of networks -- Construction of laplacians on P.C.F. self similar structures -- Eigenvalues and eigenfunctions of laplacians -- Heat kernels.".
- catalog description "Includes bibliographical references (p. 212-220) and indexes.".
- catalog extent "viii, 226 p. :".
- catalog identifier "0521793211".
- catalog isPartOf "Cambridge tracts in mathematics ; 143".
- catalog issued "2001".
- catalog issued "c2001.".
- catalog language "eng".
- catalog publisher "Cambridge ; New York : Cambridge University Press,".
- catalog subject "514/.742 21".
- catalog subject "Fractals.".
- catalog subject "Mathematical analysis.".
- catalog subject "QA614.86 .K54 2001".
- catalog tableOfContents "Geometry of self-similar sets -- Analysis on limits of networks -- Construction of laplacians on P.C.F. self similar structures -- Eigenvalues and eigenfunctions of laplacians -- Heat kernels.".
- catalog title "Analysis on fractals / Jun Kigami.".
- catalog type "text".