Transmutation, scattering theory and special functions:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Amsterdam [u.a.]
North-Holland Publ. Comp.
1982
|
| Schriftenreihe: | Notas de matemática
87 North-Holland mathematics studies 69 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | X, 457 S. |
| ISBN: | 0444864261 |
Internformat
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| 100 | 1 | |a Carroll, Robert Wayne |d 1930- |e Verfasser |0 (DE-588)123067669 |4 aut | |
| 245 | 1 | 0 | |a Transmutation, scattering theory and special functions |c Robert Carroll |
| 264 | 1 | |a Amsterdam [u.a.] |b North-Holland Publ. Comp. |c 1982 | |
| 300 | |a X, 457 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Notas de matemática |v 87 | |
| 490 | 1 | |a North-Holland mathematics studies |v 69 | |
| 650 | 4 | |a Dispersion (Mathématiques) | |
| 650 | 4 | |a Fonctions spéciales | |
| 650 | 4 | |a Opérateurs, Théorie des | |
| 650 | 4 | |a Problèmes inversés (Équations différentielles) | |
| 650 | 7 | |a Speciale functies (wiskunde) |2 gtt | |
| 650 | 7 | |a Transmutatie |2 gtt | |
| 650 | 4 | |a Functions, Special | |
| 650 | 4 | |a Inverse problems (Differential equations) | |
| 650 | 4 | |a Scattering (Mathematics) | |
| 650 | 4 | |a Transmutation operators | |
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| 650 | 0 | 7 | |a Operatortheorie |0 (DE-588)4075665-8 |2 gnd |9 rswk-swf |
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Datensatz im Suchindex
| _version_ | 1804114527655034880 |
|---|---|
| adam_text | EABCE 0F CCNCENCS
PREFACE V
CHAPTER 1 PAR5EVAC F(DRPtUCA5
1. Introduction 1
2. ©uantum scattering theory 2
3. Sturm Ciouvilie prnblems 11
4. Che generalized spectral function and Parseval formulas 21
5. model singular problems I 32
6. model singular problems II 43
7. Generalised translation for singular problems 50
8. Generalized translation and singular transmutation 61
9. Model singular transmutations 73
10. Canonical derivation of Parseval formulas 86
11. Canonical derivation of Parseval formulas II 97
12. canonical derivation of Parseval formulas III 106
CHAPITER 2. 5PECIAC FUNCTIONS
1. Introduction 119
2. Utadel spherical transforms 119
3. model spherical transforms II 127
4. General spherical transforms I 139
5. General spherical transforms II 149
6. Scattering theoru revisited 157
7. Generalized Gelfand Cevitan equations 168
8. triangularity and connection formulas 179
9. Further remarks on the Gelfand Cevitan and Harcenko
equations 193
10. Further remarks on transforms 206
11. Singular pseudodifferential operators 224
12. Elliptic transmutation 240
ix
X ROBERT CARROLL
CHAPCER 3. INVERSE P ROBOTS
1. Introduction 263
2. Che one dimensional problem in geophysics I 264
3. Ehe one dimensional prohlem in geophysics II 275
4. She one Dimensional problem in geophysics III 285
5. Some three Dimensional problems in geophysics I 297
6. tthree dimensional problems in geophysics II 313
7. Ehree dimensional problems in geophysics III 329
8. ©fcher approaches to the one dimensional geophysical
problem 342
9. ©ne dimensional techniques 356
10. Singular analogies 366
11. Singular analogies II 377
12. Singular analogies III 388
13. Singular inverse problems 402
REFERENCES 417
INDEX 455
|
| any_adam_object | 1 |
| author | Carroll, Robert Wayne 1930- |
| author_GND | (DE-588)123067669 |
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| author_variant | r w c rw rwc |
| building | Verbundindex |
| bvnumber | BV000072934 |
| callnumber-first | Q - Science |
| callnumber-label | QA1 |
| callnumber-raw | QA1 |
| callnumber-search | QA1 |
| callnumber-sort | QA 11 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SI 867 SK 620 |
| classification_tum | PHY 027f MAT 330f |
| ctrlnum | (OCoLC)8451688 (DE-599)BVBBV000072934 |
| dewey-full | 515.7/24 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis 510 - Mathematics |
| dewey-raw | 515.7/24 510 |
| dewey-search | 515.7/24 510 |
| dewey-sort | 3515.7 224 |
| dewey-tens | 510 - Mathematics |
| discipline | Physik Mathematik |
| format | Book |
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| genre | Parseval-Formel gnd Operator-Umwandlung gnd |
| genre_facet | Parseval-Formel Operator-Umwandlung |
| id | DE-604.BV000072934 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:08:08Z |
| institution | BVB |
| isbn | 0444864261 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-000032237 |
| oclc_num | 8451688 |
| open_access_boolean | |
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| owner_facet | DE-12 DE-384 DE-703 DE-91G DE-BY-TUM DE-739 DE-355 DE-BY-UBR DE-706 DE-83 DE-188 |
| physical | X, 457 S. |
| psigel | TUB-nveb |
| publishDate | 1982 |
| publishDateSearch | 1982 |
| publishDateSort | 1982 |
| publisher | North-Holland Publ. Comp. |
| record_format | marc |
| series | Notas de matemática North-Holland mathematics studies |
| series2 | Notas de matemática North-Holland mathematics studies |
| spelling | Carroll, Robert Wayne 1930- Verfasser (DE-588)123067669 aut Transmutation, scattering theory and special functions Robert Carroll Amsterdam [u.a.] North-Holland Publ. Comp. 1982 X, 457 S. txt rdacontent n rdamedia nc rdacarrier Notas de matemática 87 North-Holland mathematics studies 69 Dispersion (Mathématiques) Fonctions spéciales Opérateurs, Théorie des Problèmes inversés (Équations différentielles) Speciale functies (wiskunde) gtt Transmutatie gtt Functions, Special Inverse problems (Differential equations) Scattering (Mathematics) Transmutation operators Streutheorie (DE-588)4183697-2 gnd rswk-swf Operatortheorie (DE-588)4075665-8 gnd rswk-swf Streuung Stochastik (DE-588)4183698-4 gnd rswk-swf Spezielle Funktion (DE-588)4182213-4 gnd rswk-swf Parseval-Formel gnd rswk-swf Operator-Umwandlung gnd rswk-swf Operator-Umwandlung f DE-604 Parseval-Formel f Streuung Stochastik (DE-588)4183698-4 s Spezielle Funktion (DE-588)4182213-4 s Operatortheorie (DE-588)4075665-8 s Streutheorie (DE-588)4183697-2 s 1\p DE-604 Notas de matemática 87 (DE-604)BV000003771 87 North-Holland mathematics studies 69 (DE-604)BV000003247 69 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000032237&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Carroll, Robert Wayne 1930- Transmutation, scattering theory and special functions Notas de matemática North-Holland mathematics studies Dispersion (Mathématiques) Fonctions spéciales Opérateurs, Théorie des Problèmes inversés (Équations différentielles) Speciale functies (wiskunde) gtt Transmutatie gtt Functions, Special Inverse problems (Differential equations) Scattering (Mathematics) Transmutation operators Streutheorie (DE-588)4183697-2 gnd Operatortheorie (DE-588)4075665-8 gnd Streuung Stochastik (DE-588)4183698-4 gnd Spezielle Funktion (DE-588)4182213-4 gnd |
| subject_GND | (DE-588)4183697-2 (DE-588)4075665-8 (DE-588)4183698-4 (DE-588)4182213-4 |
| title | Transmutation, scattering theory and special functions |
| title_auth | Transmutation, scattering theory and special functions |
| title_exact_search | Transmutation, scattering theory and special functions |
| title_full | Transmutation, scattering theory and special functions Robert Carroll |
| title_fullStr | Transmutation, scattering theory and special functions Robert Carroll |
| title_full_unstemmed | Transmutation, scattering theory and special functions Robert Carroll |
| title_short | Transmutation, scattering theory and special functions |
| title_sort | transmutation scattering theory and special functions |
| topic | Dispersion (Mathématiques) Fonctions spéciales Opérateurs, Théorie des Problèmes inversés (Équations différentielles) Speciale functies (wiskunde) gtt Transmutatie gtt Functions, Special Inverse problems (Differential equations) Scattering (Mathematics) Transmutation operators Streutheorie (DE-588)4183697-2 gnd Operatortheorie (DE-588)4075665-8 gnd Streuung Stochastik (DE-588)4183698-4 gnd Spezielle Funktion (DE-588)4182213-4 gnd |
| topic_facet | Dispersion (Mathématiques) Fonctions spéciales Opérateurs, Théorie des Problèmes inversés (Équations différentielles) Speciale functies (wiskunde) Transmutatie Functions, Special Inverse problems (Differential equations) Scattering (Mathematics) Transmutation operators Streutheorie Operatortheorie Streuung Stochastik Spezielle Funktion Parseval-Formel Operator-Umwandlung |
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