Analysis on fractals
Jun Kigami
This graduate textbook introduces the analysis of fractals, particularly dynamical aspects such as heat diffusion on fractals and the vibration of a material with fractal structure. Kigami (Kyoto University) explains how to construct Dirichlet forms, harmonic functions, Green's functions and Laplacians on post critically finite self-similar sets, and examines eigenvalues and eigenfunctions of Laplacians and heat kernels associated with Laplacians.
類別:
年:
2001
出版商:
Cambridge University Press
語言:
english
頁數:
233
ISBN 10:
0521793211
ISBN 13:
9780521793216
系列:
Cambridge tracts in mathematics 143
文件:
DJVU, 6.45 MB
IPFS:
,
english, 2001
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