The interface between convex geometry and harmonic analysis:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, RI
American Math. Soc.
2008
|
| Series: | Regional conference series in mathematics
108 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturverz. S. 101 - 105 |
| Physical Description: | X, 107 S. graph. Darst. |
| ISBN: | 0821844563 9780821844564 |
Staff View
MARC
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| 100 | 1 | |a Koldobsky, Alexander |d 1955- |e Verfasser |0 (DE-588)137398182 |4 aut | |
| 245 | 1 | 0 | |a The interface between convex geometry and harmonic analysis |c Alexander Koldobsky ; Vladyslav Yaskin |
| 264 | 1 | |a Providence, RI |b American Math. Soc. |c 2008 | |
| 300 | |a X, 107 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Regional conference series in mathematics |v 108 | |
| 500 | |a Literaturverz. S. 101 - 105 | ||
| 650 | 4 | |a Análisis armónico - Congresos | |
| 650 | 4 | |a Geometría convexa - Congresos | |
| 650 | 4 | |a Convex geometry |v Congresses | |
| 650 | 4 | |a Harmonic analysis |v Congresses | |
| 650 | 0 | 7 | |a Harmonische Analyse |0 (DE-588)4023453-8 |2 gnd |9 rswk-swf |
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| 830 | 0 | |a Regional conference series in mathematics |v 108 |w (DE-604)BV000004346 |9 108 | |
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Record in the Search Index
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|---|---|
| adam_text | Contents
Preface
ix
Chapter
1. Hyperplane
sections of
ip-bális
1
1.1.
Lecture
1 1
Chapter
2.
Volume and the Fourier transform
9
2.1.
Lecture
2 9
Chapter
3.
Intersection bodies
21
3.1.
Lecture
3 21
3.2.
Intersection bodies and ellipsoids
26
3.3.
Non-intersection bodies all of whose central sections are
intersection bodies
30
3.4.
Generalized intersection bodies
33
Chapter
4.
The Busemann-Petty problem
39
4.1.
Lecture
4 39
4.2.
A modification of the Busemann-Petty problem
43
4.3.
The Busemann-Petty problem in hyperbolic and spherical
spaces
45
4.4.
The lower dimensional Busemann-Petty problem
55
Chapter
5.
Projections and the Fourier transform
59
5.1.
Lecture
5 59
Chapter
6.
Intersection bodies and Lp-spaces
67
6.1.
Lecture
6 67
Chapter
7.
On the road between polar projection bodies and
intersection bodies
75
7.1.
Lecture
7 75
7.2.
The geometry of Lo
77
7.3.
A Banach subspace of
Li/2
that does not embed in L
80
7.4.
Common subspaces of Lp spaces
84
Chapter
8.
Open problems
87
Bibliography
101
Index
107
|
| adam_txt |
Contents
Preface
ix
Chapter
1. Hyperplane
sections of
ip-bális
1
1.1.
Lecture
1 1
Chapter
2.
Volume and the Fourier transform
9
2.1.
Lecture
2 9
Chapter
3.
Intersection bodies
21
3.1.
Lecture
3 21
3.2.
Intersection bodies and ellipsoids
26
3.3.
Non-intersection bodies all of whose central sections are
intersection bodies
30
3.4.
Generalized intersection bodies
33
Chapter
4.
The Busemann-Petty problem
39
4.1.
Lecture
4 39
4.2.
A modification of the Busemann-Petty problem
43
4.3.
The Busemann-Petty problem in hyperbolic and spherical
spaces
45
4.4.
The lower dimensional Busemann-Petty problem
55
Chapter
5.
Projections and the Fourier transform
59
5.1.
Lecture
5 59
Chapter
6.
Intersection bodies and Lp-spaces
67
6.1.
Lecture
6 67
Chapter
7.
On the road between polar projection bodies and
intersection bodies
75
7.1.
Lecture
7 75
7.2.
The geometry of Lo
77
7.3.
A Banach subspace of
Li/2
that does not embed in L\
80
7.4.
Common subspaces of Lp spaces
84
Chapter
8.
Open problems
87
Bibliography
101
Index
107 |
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| ctrlnum | (OCoLC)427515272 (DE-599)BVBBV023188771 |
| dewey-full | 516/.08 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| discipline_str_mv | Mathematik |
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| id | DE-604.BV023188771 |
| illustrated | Illustrated |
| index_date | 2024-07-02T20:04:02Z |
| indexdate | 2024-07-09T21:12:38Z |
| institution | BVB |
| isbn | 0821844563 9780821844564 |
| language | English |
| lccn | 2007060572 |
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| physical | X, 107 S. graph. Darst. |
| publishDate | 2008 |
| publishDateSearch | 2008 |
| publishDateSort | 2008 |
| publisher | American Math. Soc. |
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| series | Regional conference series in mathematics |
| series2 | Regional conference series in mathematics |
| spelling | Koldobsky, Alexander 1955- Verfasser (DE-588)137398182 aut The interface between convex geometry and harmonic analysis Alexander Koldobsky ; Vladyslav Yaskin Providence, RI American Math. Soc. 2008 X, 107 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Regional conference series in mathematics 108 Literaturverz. S. 101 - 105 Análisis armónico - Congresos Geometría convexa - Congresos Convex geometry Congresses Harmonic analysis Congresses Harmonische Analyse (DE-588)4023453-8 gnd rswk-swf Konvexe Geometrie (DE-588)4407260-0 gnd rswk-swf (DE-588)1071861417 Konferenzschrift 2006 Manhattan Kan. gnd-content Konvexe Geometrie (DE-588)4407260-0 s DE-604 Harmonische Analyse (DE-588)4023453-8 s Yaskin, Vladyslav 1974- Sonstige (DE-588)139994122 oth Regional conference series in mathematics 108 (DE-604)BV000004346 108 Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016375203&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Koldobsky, Alexander 1955- The interface between convex geometry and harmonic analysis Regional conference series in mathematics Análisis armónico - Congresos Geometría convexa - Congresos Convex geometry Congresses Harmonic analysis Congresses Harmonische Analyse (DE-588)4023453-8 gnd Konvexe Geometrie (DE-588)4407260-0 gnd |
| subject_GND | (DE-588)4023453-8 (DE-588)4407260-0 (DE-588)1071861417 |
| title | The interface between convex geometry and harmonic analysis |
| title_auth | The interface between convex geometry and harmonic analysis |
| title_exact_search | The interface between convex geometry and harmonic analysis |
| title_exact_search_txtP | The interface between convex geometry and harmonic analysis |
| title_full | The interface between convex geometry and harmonic analysis Alexander Koldobsky ; Vladyslav Yaskin |
| title_fullStr | The interface between convex geometry and harmonic analysis Alexander Koldobsky ; Vladyslav Yaskin |
| title_full_unstemmed | The interface between convex geometry and harmonic analysis Alexander Koldobsky ; Vladyslav Yaskin |
| title_short | The interface between convex geometry and harmonic analysis |
| title_sort | the interface between convex geometry and harmonic analysis |
| topic | Análisis armónico - Congresos Geometría convexa - Congresos Convex geometry Congresses Harmonic analysis Congresses Harmonische Analyse (DE-588)4023453-8 gnd Konvexe Geometrie (DE-588)4407260-0 gnd |
| topic_facet | Análisis armónico - Congresos Geometría convexa - Congresos Convex geometry Congresses Harmonic analysis Congresses Harmonische Analyse Konvexe Geometrie Konferenzschrift 2006 Manhattan Kan. |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016375203&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000004346 |
| work_keys_str_mv | AT koldobskyalexander theinterfacebetweenconvexgeometryandharmonicanalysis AT yaskinvladyslav theinterfacebetweenconvexgeometryandharmonicanalysis |