Eigenvalues, embeddings and generalised trigonometric functions:
Gespeichert in:
| Beteiligte Personen: | , |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Berlin [u.a.]
Springer
2011
|
| Schriftenreihe: | Lecture notes in mathematics
2016 |
| Schlagwörter: | |
| Links: | http://deposit.dnb.de/cgi-bin/dokserv?id=3631591&prov=M&dok_var=1&dok_ext=htm http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=022489797&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Umfang: | XI, 220 S. graph. Darst. |
| ISBN: | 3642182674 9783642182679 |
Internformat
MARC
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| 100 | 1 | |a Lang, Jan |e Verfasser |0 (DE-588)143964690 |4 aut | |
| 245 | 1 | 0 | |a Eigenvalues, embeddings and generalised trigonometric functions |c Jan Lang ; David Edmunds |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 2011 | |
| 300 | |a XI, 220 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Lecture notes in mathematics |v 2016 | |
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| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Edmunds, David E. |d 1931- |e Verfasser |0 (DE-588)129315176 |4 aut | |
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| 830 | 0 | |a Lecture notes in mathematics |v 2016 |w (DE-604)BV000676446 |9 2016 | |
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Datensatz im Suchindex
| DE-BY-TUM_call_number | 0102 MAT 001z 2001 B 999-2016 |
|---|---|
| DE-BY-TUM_katkey | 1764758 |
| DE-BY-TUM_location | 01 |
| DE-BY-TUM_media_number | 040010206892 |
| _version_ | 1821933413149442049 |
| adam_text | IMAGE 1
CONTENTS
1 BASIC MATERIAL 1
1 .1 BASES AND TRIGONOMETRIE FUNCTIONS 1
1.2 STRICT AND UNIFORM CONVEXITY 3
1.3 REPRESENTATIONS OF COMPACT LINEAR OPERATORS 20
2 TRIGONOMETRIC GENERALISATIONS 33
2. 1 THE FUNCTIONS SIN,, AND COS P 33
2.2 BASIS PROPERTIES 43
3 THE LAPLACIAN AND SOME NATURAL VARIANTS 49
3.1 THELAPLACIAN 49
3.2 THEP-LAPLACIAN 50
3.3 EIGENFUNCTIONS OF THEP-LAPLACIAN, N =1 55
3.4 EIGENFUNCTIONS OF THEP-LAPLACIAN, N 1 61
4 HARDY OPERATORS 65
4.1 CONDITIONS FOR BOUNDEDNESS AND COMPACTNESS 65
4.2 THE NORM OF THE HARDY OPERATOR 67
5 S-NUMBERS AND GENERALISED TRIGONOMETRIC FUNCTIONS 73 5.1 S-NUMBERS AND
N-WIDTHS 73
5.2 THE S-NUMBERS OF HARDY OPERATORS 83
5.3 S-NUMBERS OF THE SOBOLEV EMBEDDING ON INTERVALS 95
6 ESTIMATES OF S-NUMBERS OF WEIGHTED HARDY OPERATORS 105 6. 1
INTRODUCTION AND BASIC NOTATION 105
6.2 PROPERTIES OF SF 107
6.3 EQUIVALENCE OF STRICT S-NUMBERS FOR T 112
6.4 THE FIRST ASYMPTOTIC TERM WHEN 1 / * 115
6.5 THE CASES/» = ANDP = L 118
BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/100897269X
DIGITALISIERT DURCH
IMAGE 2
X CONTENTS
7 MORE REFINED ESTIMATES 129
7.1 REMAINDER ESTIMATES 129
7.2 THE SECOND ASYMPTOTIC TERM 138
7.3 L Q AND WEAK-/ ? ESTIMATES WHEN 1 P 141
7.4 L Q AND WEAK-/ G ESTIMATES, CASES P = 1 AND 149
8 A NON-LINEAR INTEGRAL SYSTEM 153
8.1 UPPER AND LOWER ESTIMATES FOR A NON-LINEAR INTEGRAL SYSTEM 153 8.2
THE CASE FL / 165
8.3 THE CASE/» Q 175
8.4 THE CASE/» =Q 182
9 HARDY OPERATORS ON VARIABLE EXPONENT SPACES 183
9.1 SPACES WITH VARIABLE EXPONENT 183
9.2 HARDY OPERATORS 192
9.2.1 THE CASE WHEN/; IS A STEP-FUNCTION 196
9.2.2 THE CASE WHEN/» IS STRONGLY LOG-HOELDER-CONTINUOUS 198 9.3 A
VERSION OF THE/»-LAPLACIAN 207
REFERENCES 211
INDEX 217
|
| any_adam_object | 1 |
| author | Lang, Jan Edmunds, David E. 1931- |
| author_GND | (DE-588)143964690 (DE-588)129315176 |
| author_facet | Lang, Jan Edmunds, David E. 1931- |
| author_role | aut aut |
| author_sort | Lang, Jan |
| author_variant | j l jl d e e de dee |
| building | Verbundindex |
| bvnumber | BV037335984 |
| classification_rvk | SI 850 |
| classification_tum | MAT 331f MAT 416f MAT 474f |
| ctrlnum | (OCoLC)723256734 (DE-599)DNB100897269X |
| dewey-full | 515.72 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.72 |
| dewey-search | 515.72 |
| dewey-sort | 3515.72 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV037335984 |
| illustrated | Illustrated |
| indexdate | 2024-12-20T15:14:51Z |
| institution | BVB |
| isbn | 3642182674 9783642182679 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-022489797 |
| oclc_num | 723256734 |
| open_access_boolean | |
| owner | DE-824 DE-91G DE-BY-TUM DE-11 DE-83 DE-188 DE-19 DE-BY-UBM |
| owner_facet | DE-824 DE-91G DE-BY-TUM DE-11 DE-83 DE-188 DE-19 DE-BY-UBM |
| physical | XI, 220 S. graph. Darst. |
| publishDate | 2011 |
| publishDateSearch | 2011 |
| publishDateSort | 2011 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spellingShingle | Lang, Jan Edmunds, David E. 1931- Eigenvalues, embeddings and generalised trigonometric functions Lecture notes in mathematics Integraloperator (DE-588)4131247-8 gnd Eigenwert (DE-588)4151200-5 gnd Sobolev-Einbettung (DE-588)4181713-8 gnd s-Zahlen (DE-588)4135761-9 gnd |
| subject_GND | (DE-588)4131247-8 (DE-588)4151200-5 (DE-588)4181713-8 (DE-588)4135761-9 |
| title | Eigenvalues, embeddings and generalised trigonometric functions |
| title_auth | Eigenvalues, embeddings and generalised trigonometric functions |
| title_exact_search | Eigenvalues, embeddings and generalised trigonometric functions |
| title_full | Eigenvalues, embeddings and generalised trigonometric functions Jan Lang ; David Edmunds |
| title_fullStr | Eigenvalues, embeddings and generalised trigonometric functions Jan Lang ; David Edmunds |
| title_full_unstemmed | Eigenvalues, embeddings and generalised trigonometric functions Jan Lang ; David Edmunds |
| title_short | Eigenvalues, embeddings and generalised trigonometric functions |
| title_sort | eigenvalues embeddings and generalised trigonometric functions |
| topic | Integraloperator (DE-588)4131247-8 gnd Eigenwert (DE-588)4151200-5 gnd Sobolev-Einbettung (DE-588)4181713-8 gnd s-Zahlen (DE-588)4135761-9 gnd |
| topic_facet | Integraloperator Eigenwert Sobolev-Einbettung s-Zahlen |
| url | http://deposit.dnb.de/cgi-bin/dokserv?id=3631591&prov=M&dok_var=1&dok_ext=htm http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=022489797&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000676446 |
| work_keys_str_mv | AT langjan eigenvaluesembeddingsandgeneralisedtrigonometricfunctions AT edmundsdavide eigenvaluesembeddingsandgeneralisedtrigonometricfunctions |
Inhaltsverzeichnis
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Teilbibliothek Mathematik & Informatik
| Signatur: |
0102 MAT 001z 2001 B 999-2016 Lageplan |
|---|---|
| Exemplar 1 | Ausleihbar Am Standort |