Quasianalytic monogenic solutions of a cohomological equation:
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Providence, R.I.
American Mathematical Society
2003
|
| Schriftenreihe: | Memoirs of the American Mathematical Society
780 |
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010282498&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Beschreibung: | "Volume 164, number 780 (second of 5 numbers)." |
| Umfang: | VI, 83 S. graph. Darst. |
| ISBN: | 0821833251 |
Internformat
MARC
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| 100 | 1 | |a Marmi, Stefano |d 1963- |e Verfasser |0 (DE-588)174092970 |4 aut | |
| 245 | 1 | 0 | |a Quasianalytic monogenic solutions of a cohomological equation |c S. Marmi, D. Sauzin |
| 264 | 1 | |a Providence, R.I. |b American Mathematical Society |c 2003 | |
| 300 | |a VI, 83 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Memoirs of the American Mathematical Society |v 780 | |
| 500 | |a "Volume 164, number 780 (second of 5 numbers)." | ||
| 650 | 7 | |a Monogene functies |2 gtt | |
| 650 | 4 | |a Continued fractions | |
| 650 | 4 | |a Monogenic functions | |
| 650 | 4 | |a Quasianalytic functions | |
| 650 | 4 | |a Small divisors | |
| 650 | 0 | 7 | |a Kettenbruch |0 (DE-588)4030401-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Quasianalytische Funktion |0 (DE-588)4294372-3 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Divisor |0 (DE-588)4150324-7 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Monogene Funktion |0 (DE-588)4671114-4 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Monogene Funktion |0 (DE-588)4671114-4 |D s |
| 689 | 0 | 1 | |a Divisor |0 (DE-588)4150324-7 |D s |
| 689 | 0 | 2 | |a Quasianalytische Funktion |0 (DE-588)4294372-3 |D s |
| 689 | 0 | 3 | |a Kettenbruch |0 (DE-588)4030401-2 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Sauzin, D. |d 1966- |e Sonstige |0 (DE-588)1146415028 |4 oth | |
| 830 | 0 | |a Memoirs of the American Mathematical Society |v 780 |w (DE-604)BV008000141 |9 780 | |
| 856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010282498&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-010282498 | |
Datensatz im Suchindex
| DE-BY-TUM_call_number | 0102 MAT 001z 2001 B 990-780 |
|---|---|
| DE-BY-TUM_katkey | 1409431 |
| DE-BY-TUM_location | 01 |
| DE-BY-TUM_media_number | 040020129800 |
| _version_ | 1821940701201432576 |
| adam_text | Contents
Chapter 1. Introduction 1
Chapter 2. Monogenic Properties of the Solutions of the Cohomological
Equation 5
§2.1. C^holomorphic and C^ holomorphie functions 6
§2.2. Borel s monogenic functions 8
§2.3. Domains of monogenic regularity: The sequence {Kj) 11
§2.4. Monogenic regularity of the solutions 18
§2.5. Whitney smoothness of monogenic functions 19
Chapter 3. Carleman Classes at Diophantine Points 23
§3.1. Carleman and Gevrey classes 23
§3.2. Gevrey asymptotics at Diophantine points for monogenic functions 26
§3.3. Borel transform at quadratic irrationals for the fundamental solu¬
tion 29
§3.4. Deduction of Theorem 3.4 from Theorem 3.5 33
§3.5. Proof of Theorem 3.5 35
Chapter 4. Resummation at Resonances and Constant Type Points 41
§4.1. Asymptotic expansions at resonances 41
§4.2. Resurgence of the fundamental solution at resonances 43
§4.3. Proof of Theorems 4.2 and 4.3 47
§4.4. A property of quasianalyticity at constant type points 53
Chapter 5. Conclusions and Applications 59
§5.1. Gammel s series 59
§5.2. An application to the problem of linearization of analytic diffeo
morphisms of the circle 61
§5.3. An application to a nonlinear small divisor problem (semi standard
map) 63
Appendix. 65
§A.l. Hadamard s product 65
§A.2. Some elementary properties of the fundamental solution 66
§A.3. Some arithmetical results. Continued fractions 67
§A.4. Proof of Lemma 3.3 70
§A.5. Reminder about Borel Laplace summation 77
Bibliography 81
|
| any_adam_object | 1 |
| author | Marmi, Stefano 1963- |
| author_GND | (DE-588)174092970 (DE-588)1146415028 |
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| author_sort | Marmi, Stefano 1963- |
| author_variant | s m sm |
| building | Verbundindex |
| bvnumber | BV017038928 |
| callnumber-first | Q - Science |
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| callnumber-subject | QA - Mathematics |
| classification_rvk | SI 130 |
| classification_tum | MAT 260f |
| ctrlnum | (OCoLC)51923572 (DE-599)BVBBV017038928 |
| dewey-full | 510 515/.352 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics 515 - Analysis |
| dewey-raw | 510 515/.352 |
| dewey-search | 510 515/.352 |
| dewey-sort | 3510 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV017038928 |
| illustrated | Illustrated |
| indexdate | 2024-12-20T11:14:08Z |
| institution | BVB |
| isbn | 0821833251 |
| language | English |
| lccn | 2003048024 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-010282498 |
| oclc_num | 51923572 |
| open_access_boolean | |
| owner | DE-91G DE-BY-TUM DE-355 DE-BY-UBR DE-29T DE-739 DE-11 DE-83 DE-188 |
| owner_facet | DE-91G DE-BY-TUM DE-355 DE-BY-UBR DE-29T DE-739 DE-11 DE-83 DE-188 |
| physical | VI, 83 S. graph. Darst. |
| publishDate | 2003 |
| publishDateSearch | 2003 |
| publishDateSort | 2003 |
| publisher | American Mathematical Society |
| record_format | marc |
| series | Memoirs of the American Mathematical Society |
| series2 | Memoirs of the American Mathematical Society |
| spellingShingle | Marmi, Stefano 1963- Quasianalytic monogenic solutions of a cohomological equation Memoirs of the American Mathematical Society Monogene functies gtt Continued fractions Monogenic functions Quasianalytic functions Small divisors Kettenbruch (DE-588)4030401-2 gnd Quasianalytische Funktion (DE-588)4294372-3 gnd Divisor (DE-588)4150324-7 gnd Monogene Funktion (DE-588)4671114-4 gnd |
| subject_GND | (DE-588)4030401-2 (DE-588)4294372-3 (DE-588)4150324-7 (DE-588)4671114-4 |
| title | Quasianalytic monogenic solutions of a cohomological equation |
| title_auth | Quasianalytic monogenic solutions of a cohomological equation |
| title_exact_search | Quasianalytic monogenic solutions of a cohomological equation |
| title_full | Quasianalytic monogenic solutions of a cohomological equation S. Marmi, D. Sauzin |
| title_fullStr | Quasianalytic monogenic solutions of a cohomological equation S. Marmi, D. Sauzin |
| title_full_unstemmed | Quasianalytic monogenic solutions of a cohomological equation S. Marmi, D. Sauzin |
| title_short | Quasianalytic monogenic solutions of a cohomological equation |
| title_sort | quasianalytic monogenic solutions of a cohomological equation |
| topic | Monogene functies gtt Continued fractions Monogenic functions Quasianalytic functions Small divisors Kettenbruch (DE-588)4030401-2 gnd Quasianalytische Funktion (DE-588)4294372-3 gnd Divisor (DE-588)4150324-7 gnd Monogene Funktion (DE-588)4671114-4 gnd |
| topic_facet | Monogene functies Continued fractions Monogenic functions Quasianalytic functions Small divisors Kettenbruch Quasianalytische Funktion Divisor Monogene Funktion |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010282498&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
| work_keys_str_mv | AT marmistefano quasianalyticmonogenicsolutionsofacohomologicalequation AT sauzind quasianalyticmonogenicsolutionsofacohomologicalequation |
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Teilbibliothek Mathematik & Informatik
| Signatur: |
0102 MAT 001z 2001 B 990-780 Lageplan |
|---|---|
| Exemplar 1 | Ausleihbar Am Standort |