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20031020202000.0 |
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010323s2001 enk 000 0 eng |
| 015 |
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|a GBA1-Y3947
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| 020 |
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|a 0521793211
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| 035 |
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|a (OCoLC)46650370
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| 040 |
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|a UKM
|c UKM
|d OCoLC
|d OrLoB-B
|
| 049 |
|
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|a CGUA
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| 082 |
0 |
4 |
|a 514.742
|2 21
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| 090 |
|
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|a QA614.86.K54 2001
|
| 100 |
1 |
|
|a Kigami, Jun.
|0 http://id.loc.gov/authorities/names/n97027694
|1 http://viaf.org/viaf/71550308
|
| 245 |
1 |
0 |
|a Analysis on fractals /
|c Jun Kigami.
|
| 260 |
|
|
|a Cambridge :
|b Cambridge University Press,
|c 2001.
|
| 300 |
|
|
|a 226 p. :
|b ill. ;
|c 23 cm.
|
| 336 |
|
|
|a text
|b txt
|2 rdacontent
|0 http://id.loc.gov/vocabulary/contentTypes/txt
|
| 337 |
|
|
|a unmediated
|b n
|2 rdamedia
|0 http://id.loc.gov/vocabulary/mediaTypes/n
|
| 338 |
|
|
|a volume
|b nc
|2 rdacarrier
|0 http://id.loc.gov/vocabulary/carriers/nc
|
| 440 |
|
0 |
|a Cambridge tracts in mathematics.
|v 143
|
| 504 |
|
|
|a Bibliography.
|
| 504 |
|
|
|a Includes index.
|
| 505 |
0 |
0 |
|g 1.
|t Geometry of Self-Similar Sets --
|g 1.1.
|t Construction of self-similar sets --
|g 1.2.
|t Shift space and self-similar sets --
|g 1.3.
|t Self-similar structure --
|g 1.4.
|t Self-similar measure --
|g 1.5.
|t Dimension of self-similar sets --
|g 1.6.
|t Connectivity of self-similar sets --
|g 2.
|t Analysis on Limits of Networks --
|g 2.1.
|t Dirichlet forms and Laplacians on a finite set --
|g 2.2.
|t Sequence of discrete Laplacians --
|g 2.3.
|t Resistance from and resistance metric --
|g 2.4.
|t Dirichlet forms and Laplacians on limits of networks --
|g 3.
|t Construction of Laplacians on P. C. F. Self-Similar Structures --
|g 3.1.
|t Harmonic structures --
|g 3.2.
|t Harmonic functions --
|g 3.3.
|t Topology given by effective resistance --
|g 3.4.
|t Dirichlet forms on p. c. f. self-similar sets --
|g 3.5.
|t Green's function --
|g 3.6.
|t Green's operator --
|g 3.7.
|t Laplacians --
|g 3.8.
|t Nested fractals --
|g 4.
|t Eigenvalues and Eigenfunctions of Laplacians --
|g 4.1.
|t Eigenvalues and eigenfunctions --
|g 4.2.
|t Relation between dimensions --
|g 4.3.
|t Localized eigenfunctions --
|g 4.4.
|t Existence of localized eigenfunctions --
|g 4.5.
|t Estimate of eigenfunctions --
|g 5.
|t Heat Kernels --
|g 5.1.
|t Construction of heat kernels --
|g 5.2.
|t Parabolic maximum principle --
|g 5.3.
|t Asymptotic behavior of the heat kernels.
|g App. A.
|t Additional Facts --
|g App. B.
|t Mathematical Background.
|
| 650 |
|
0 |
|a Fractals.
|0 http://id.loc.gov/authorities/subjects/sh85051147
|
| 650 |
|
7 |
|a Fractals.
|2 fast
|0 http://id.worldcat.org/fast/fst00933507
|
| 650 |
|
7 |
|a Mathematical analysis.
|2 fast
|0 http://id.worldcat.org/fast/fst01012068
|
| 901 |
|
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|a ToCBNA
|
| 903 |
|
|
|a HeVa
|
| 929 |
|
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|a cat
|
| 999 |
f |
f |
|i a0a08ad1-5a8a-50e0-b0e1-8f3d645c9b0f
|s 96914af5-25dc-53b2-898e-872ccb3fbde0
|
| 928 |
|
|
|t Library of Congress classification
|a QA614.86.K54 2001
|l Eck
|c Eck-Eck
|i 6402639
|
| 927 |
|
|
|t Library of Congress classification
|a QA614.86.K54 2001
|l Eck
|c Eck-Eck
|b 57868898
|i 7088687
|
