Fractals and spectra: related to Fourier analysis and function spaces
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Basel [u.a.]
Birkhäuser
1997
|
| Schriftenreihe: | Monographs in mathematics
91 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 271 S. Ill., graph. Darst. |
| ISBN: | 3764357762 9783764357764 0817657762 |
Internformat
MARC
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| 100 | 1 | |a Triebel, Hans |d 1936- |e Verfasser |0 (DE-588)133515923 |4 aut | |
| 245 | 1 | 0 | |a Fractals and spectra |b related to Fourier analysis and function spaces |c Hans Triebel |
| 264 | 1 | |a Basel [u.a.] |b Birkhäuser |c 1997 | |
| 300 | |a 271 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
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Datensatz im Suchindex
| _version_ | 1804125989880463360 |
|---|---|
| adam_text | Contents
Preface
Vil
I Fractals
1
Basic notation in measure theory
............................... 1
2
Hausdorff measures and Hausdorff dimensions
................... 2
3
d-sets
........................................................ 5
4
Self-affine fractals
............................................. 7
5
Nonisotropic d-sets
............................................ 25
II ¿p-spaces
6
Entropy numbers and eigenvalues
............................... 33
7
The spaces ¿^
................................................ 36
8
Weighted ¿p-spaces
............................................ 38
9
Weigthed ¿p-spaces: a generalization
............................ 46
III Function spaces on
Ш
10
The spaces Bsn and
Fţq
........................................ 49
11
Properties
..................................................... 53
12
Harmonic and local representations and characterizations
......... 58
13
Atomic decompositions
........................................ 70
14
Subatomic decompositions
..................................... 89
15
A digression: Vector-valued function spaces
..................... 104
16
Graphs of functions
........................................... 119
IV Function spaces on and of fractals
17
The distributional dimension
................................... 125
18
The spaces Lp(T)
............................................. 135
19
A second digression: Distributional cascades and
iterated function systems
....................................... 147
20
The spaces
В^(Г)
............................................ 158
21
Fractal limiting embeddings
.................................... 173
22
Nonisotropic embeddings
...................................... 179
23
The spaces
Β^(Ω)
............................................ 185
24
Quadratic forms and approximation numbers
.................... 189
25
Quadratic forms on fractals and in domains
...................... 192
vi
Contents
V Spectra of fractal pseudodifferential operators
26
Introduction and preliminaries
.................................. 199
27
Pseudodifferential operators with fractal coefficients
.............. 205
28
Fractal pseudodifferential operators
............................. 221
29
Fractal pseudodifferential operators: limiting cases
............... 231
30
Fractal drums
................................................. 233
31 Schrödinger
operators with fractal potentials
..................... 243
32
Nonlinear elliptic equations related to fractals
.................... 251
References
.......................................................... 260
Symbols
............................................................ 267
Index
............................................................... 269
|
| any_adam_object | 1 |
| author | Triebel, Hans 1936- |
| author_GND | (DE-588)133515923 |
| author_facet | Triebel, Hans 1936- |
| author_role | aut |
| author_sort | Triebel, Hans 1936- |
| author_variant | h t ht |
| building | Verbundindex |
| bvnumber | BV011470197 |
| classification_rvk | SK 620 UG 3900 SK 600 |
| classification_tum | MAT 420f MAT 464f MAT 519f |
| ctrlnum | (OCoLC)845472992 (DE-599)BVBBV011470197 |
| dewey-full | 515.73 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.73 |
| dewey-search | 515.73 |
| dewey-sort | 3515.73 |
| dewey-tens | 510 - Mathematics |
| discipline | Physik Mathematik |
| format | Book |
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| id | DE-604.BV011470197 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:10:20Z |
| institution | BVB |
| isbn | 3764357762 9783764357764 0817657762 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007716991 |
| oclc_num | 845472992 |
| open_access_boolean | |
| owner | DE-29T DE-739 DE-91G DE-BY-TUM DE-355 DE-BY-UBR DE-20 DE-824 DE-634 DE-83 DE-11 DE-188 |
| owner_facet | DE-29T DE-739 DE-91G DE-BY-TUM DE-355 DE-BY-UBR DE-20 DE-824 DE-634 DE-83 DE-11 DE-188 |
| physical | 271 S. Ill., graph. Darst. |
| publishDate | 1997 |
| publishDateSearch | 1997 |
| publishDateSort | 1997 |
| publisher | Birkhäuser |
| record_format | marc |
| series | Monographs in mathematics |
| series2 | Monographs in mathematics |
| spelling | Triebel, Hans 1936- Verfasser (DE-588)133515923 aut Fractals and spectra related to Fourier analysis and function spaces Hans Triebel Basel [u.a.] Birkhäuser 1997 271 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Monographs in mathematics 91 Funktionalraum (DE-588)4155679-3 gnd rswk-swf Spektraltheorie (DE-588)4116561-5 gnd rswk-swf Pseudodifferentialoperator (DE-588)4047640-6 gnd rswk-swf Fraktalgeometrie (DE-588)4473576-5 gnd rswk-swf Fraktal (DE-588)4123220-3 gnd rswk-swf Harmonische Analyse (DE-588)4023453-8 gnd rswk-swf Funktionenraum (DE-588)4134834-5 gnd rswk-swf Spektraltheorie (DE-588)4116561-5 s DE-604 Fraktal (DE-588)4123220-3 s Funktionalraum (DE-588)4155679-3 s Funktionenraum (DE-588)4134834-5 s Fraktalgeometrie (DE-588)4473576-5 s Pseudodifferentialoperator (DE-588)4047640-6 s Harmonische Analyse (DE-588)4023453-8 s Monographs in mathematics 91 (DE-604)BV000008284 91 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007716991&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Triebel, Hans 1936- Fractals and spectra related to Fourier analysis and function spaces Monographs in mathematics Funktionalraum (DE-588)4155679-3 gnd Spektraltheorie (DE-588)4116561-5 gnd Pseudodifferentialoperator (DE-588)4047640-6 gnd Fraktalgeometrie (DE-588)4473576-5 gnd Fraktal (DE-588)4123220-3 gnd Harmonische Analyse (DE-588)4023453-8 gnd Funktionenraum (DE-588)4134834-5 gnd |
| subject_GND | (DE-588)4155679-3 (DE-588)4116561-5 (DE-588)4047640-6 (DE-588)4473576-5 (DE-588)4123220-3 (DE-588)4023453-8 (DE-588)4134834-5 |
| title | Fractals and spectra related to Fourier analysis and function spaces |
| title_auth | Fractals and spectra related to Fourier analysis and function spaces |
| title_exact_search | Fractals and spectra related to Fourier analysis and function spaces |
| title_full | Fractals and spectra related to Fourier analysis and function spaces Hans Triebel |
| title_fullStr | Fractals and spectra related to Fourier analysis and function spaces Hans Triebel |
| title_full_unstemmed | Fractals and spectra related to Fourier analysis and function spaces Hans Triebel |
| title_short | Fractals and spectra |
| title_sort | fractals and spectra related to fourier analysis and function spaces |
| title_sub | related to Fourier analysis and function spaces |
| topic | Funktionalraum (DE-588)4155679-3 gnd Spektraltheorie (DE-588)4116561-5 gnd Pseudodifferentialoperator (DE-588)4047640-6 gnd Fraktalgeometrie (DE-588)4473576-5 gnd Fraktal (DE-588)4123220-3 gnd Harmonische Analyse (DE-588)4023453-8 gnd Funktionenraum (DE-588)4134834-5 gnd |
| topic_facet | Funktionalraum Spektraltheorie Pseudodifferentialoperator Fraktalgeometrie Fraktal Harmonische Analyse Funktionenraum |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007716991&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000008284 |
| work_keys_str_mv | AT triebelhans fractalsandspectrarelatedtofourieranalysisandfunctionspaces |