TY  - BOOK
AU  - Kigami,Jun
TI  - Analysis on fractals
T2  - Cambridge tracts in mathematics
SN  - 9780511470943 (ebook)
AV  - QA614.86 .K54 2001
U1  - 514/.742 21
PY  - 2001///
CY  - Cambridge
PB  - Cambridge University Press
KW  - Fractals
KW  - Mathematical analysis
N1  - Title from publisher's bibliographic system (viewed on 05 Oct 2015); 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
N2  - This book covers analysis on fractals, a developing area of mathematics which focuses on the dynamical aspects of fractals, such as heat diffusion on 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
UR  - https://doi.org/10.1017/CBO9780511470943
ER  -