Partial multiplicities of products of holomorphic matrix functions:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Abschlussarbeit Buch |
| Sprache: | English |
| Veröffentlicht: |
Amsterdam
1985
|
| Ausgabe: | Revised version |
| Schriftenreihe: | Rapport / Vrije Universiteit <Amsterdam> / Subfaculteit Wiskunde en Informatica
294 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | IV, 104 Seiten Diagramme |
Internformat
MARC
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| 245 | 1 | 0 | |a Partial multiplicities of products of holomorphic matrix functions |c G. Philip A. Thijsse |
| 250 | |a Revised version | ||
| 264 | 1 | |a Amsterdam |c 1985 | |
| 300 | |a IV, 104 Seiten |b Diagramme | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Rapport / Vrije Universiteit <Amsterdam> / Subfaculteit Wiskunde en Informatica |v 294 | |
| 502 | |a Zugl.: Dortmund, Univ., Habil.-Schr., 1985 | ||
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| 650 | 0 | 7 | |a Holomorphie |0 (DE-588)4160484-2 |2 gnd |9 rswk-swf |
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Datensatz im Suchindex
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|---|---|
| adam_text | CONTENTS
I. THE PROBLEM 1
1. Local Smith form and partial multiplicities 1
2. The main problem 3
3. Jordan chains and partial multiplicities 5
4. Reduction to monic matrix polynomials 8
5. A matrix vector differential equation 10
6. An equivalent matrix problem 11
7. Partial multiplicities for nonsquare matrix 14
functions and description of partial multiplicities
by minors
8. The imbedding problem for matrix polynomials 16
9. Dual multiplicities and a survey of previous results 18
10. Main results 20
II. GENERALIZED SIGAL INEQUALITIES, PROOF PRINCIPLES 25
AND PROOF TECHNIQUES
1 . Description of the terminology and the necessity 25
of Condition I(i).
2. An induction principle and three reduction 28
principles
3. The restriction lemma 29
4. Special representations of a given product 33
5. Proofs for the principles from Section 2 38
6. The inversion principle 43
III. SYSTEM OF RULES 47
1. The generalized Sigal rules 47
2. The diagonal rules and the rules of coorder 2 48
3. Rules of type (I,J), especially of order 2 51
IV. THE RESULTS FOR rm ^ 7 58
1. The necessity and the reducibility of 58
Conditions I
2. The sufficiency of Conditions I and II for 63
rm * 7
3. The necessity of Condition I(ii)(a) for rm S 7 76
4. The superfluousness of Condition I(ii)(b) 79
for rm S 7
V. THE DESCRIPTION OF A (a,6) IN SPECIAL CASES 83
1 . The case B., £ 2 83
2. The case B3 = 0 86
3. The Rodman Schaps theorem 91
Appendix: On the theory of dual multiplicities 97
REFERENCES 102
INDES OF TERMS 104
INDEX OF NOTATIONS 104
|
| any_adam_object | 1 |
| author | Thijsse, Gérard Philip Antoine |
| author_facet | Thijsse, Gérard Philip Antoine |
| author_role | aut |
| author_sort | Thijsse, Gérard Philip Antoine |
| author_variant | g p a t gpa gpat |
| building | Verbundindex |
| bvnumber | BV006110130 |
| classification_rvk | SK 780 |
| ctrlnum | (OCoLC)630927038 (DE-599)BVBBV006110130 |
| discipline | Mathematik |
| edition | Revised version |
| format | Thesis Book |
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| genre_facet | Hochschulschrift |
| id | DE-604.BV006110130 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:40:26Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-003859947 |
| oclc_num | 630927038 |
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| owner_facet | DE-703 DE-824 DE-384 DE-188 DE-83 |
| physical | IV, 104 Seiten Diagramme |
| publishDate | 1985 |
| publishDateSearch | 1985 |
| publishDateSort | 1985 |
| record_format | marc |
| series2 | Rapport / Vrije Universiteit <Amsterdam> / Subfaculteit Wiskunde en Informatica |
| spelling | Thijsse, Gérard Philip Antoine Verfasser aut Partial multiplicities of products of holomorphic matrix functions G. Philip A. Thijsse Revised version Amsterdam 1985 IV, 104 Seiten Diagramme txt rdacontent n rdamedia nc rdacarrier Rapport / Vrije Universiteit <Amsterdam> / Subfaculteit Wiskunde en Informatica 294 Zugl.: Dortmund, Univ., Habil.-Schr., 1985 Multiplikation (DE-588)4170732-1 gnd rswk-swf Matrixfunktion (DE-588)4169117-9 gnd rswk-swf Holomorphie (DE-588)4160484-2 gnd rswk-swf Holomorphe Matrixfunktion (DE-588)4160477-5 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Matrixfunktion (DE-588)4169117-9 s Holomorphie (DE-588)4160484-2 s DE-604 Holomorphe Matrixfunktion (DE-588)4160477-5 s Multiplikation (DE-588)4170732-1 s Vrije Universiteit <Amsterdam> / Subfaculteit Wiskunde en Informatica Rapport 294 (DE-604)BV001900370 294 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003859947&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Thijsse, Gérard Philip Antoine Partial multiplicities of products of holomorphic matrix functions Multiplikation (DE-588)4170732-1 gnd Matrixfunktion (DE-588)4169117-9 gnd Holomorphie (DE-588)4160484-2 gnd Holomorphe Matrixfunktion (DE-588)4160477-5 gnd |
| subject_GND | (DE-588)4170732-1 (DE-588)4169117-9 (DE-588)4160484-2 (DE-588)4160477-5 (DE-588)4113937-9 |
| title | Partial multiplicities of products of holomorphic matrix functions |
| title_auth | Partial multiplicities of products of holomorphic matrix functions |
| title_exact_search | Partial multiplicities of products of holomorphic matrix functions |
| title_full | Partial multiplicities of products of holomorphic matrix functions G. Philip A. Thijsse |
| title_fullStr | Partial multiplicities of products of holomorphic matrix functions G. Philip A. Thijsse |
| title_full_unstemmed | Partial multiplicities of products of holomorphic matrix functions G. Philip A. Thijsse |
| title_short | Partial multiplicities of products of holomorphic matrix functions |
| title_sort | partial multiplicities of products of holomorphic matrix functions |
| topic | Multiplikation (DE-588)4170732-1 gnd Matrixfunktion (DE-588)4169117-9 gnd Holomorphie (DE-588)4160484-2 gnd Holomorphe Matrixfunktion (DE-588)4160477-5 gnd |
| topic_facet | Multiplikation Matrixfunktion Holomorphie Holomorphe Matrixfunktion Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003859947&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV001900370 |
| work_keys_str_mv | AT thijssegerardphilipantoine partialmultiplicitiesofproductsofholomorphicmatrixfunctions |