M. G. Krein's lectures on entire operators:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | German |
| Published: |
Basel [u.a.]
Birkhäuser
1997
|
| Series: | Operator theory
97 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | IX, 220 S. |
| ISBN: | 3764357045 |
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MARC
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| 100 | 1 | |a Gorbačuk, Miroslav L. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a M. G. Krein's lectures on entire operators |c M. L. Gorbachuk ; V. I. Gorbachuk |
| 264 | 1 | |a Basel [u.a.] |b Birkhäuser |c 1997 | |
| 300 | |a IX, 220 S. | ||
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| 490 | 1 | |a Operator theory |v 97 | |
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| 700 | 1 | |a Gorbačuk, Valentina I. |e Verfasser |4 aut | |
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Record in the Search Index
| _version_ | 1804125898154180608 |
|---|---|
| adam_text | Contents
Preface vii
Chapter 1
Some aspects of operator theory and
the theory of analytic functions
1. On spectral functions of Hermitian operators 1
2. Representation of a simple Hermitian operator
whose deficiency index is (1,1) 8
3. On the spectrum of self adjoint extensions of a Hermitian operator
whose deficiency index is (1,1) 17
4. Some aspects of the theory of analytic functions 21
Chapter 2
Entire operators whose deficiency index is (1,1)
1. Quasiregular gauge 48
2. Principal theorem on regular points of /m (z) 53
3. w regular points of a Hermitian operator 56
4. Functions e(z) and Vm{z) 59
5. Entire operators 61
6. .R functions and generalized resolvents of a Hermitian operator 68
7. On distribution functions of a Hermitian operator 82
8. Method of directing functionals 99
9. Operator, entire with respect to a generalized gauge 110
Chapter 3
Applications of entire operator theory to
some classical problems of analysis
1. Power moment problem 120
2. Continuation problem for positive definite functions 126
3. Unitary and spiral curves 141
Appendix 1 On entire operators whose defect numbers are arbitrary 161
Appendix 2 Entire operators represented by differential operators 177
Appendix 3 On a difficult problem of operator theory and
its relation to classical analysis 199
Comments 211
Bibliography 215
Subject index 219
|
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| id | DE-604.BV011386335 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:08:52Z |
| institution | BVB |
| isbn | 3764357045 |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007653014 |
| oclc_num | 437427986 |
| open_access_boolean | |
| owner | DE-91G DE-BY-TUM DE-355 DE-BY-UBR DE-11 |
| owner_facet | DE-91G DE-BY-TUM DE-355 DE-BY-UBR DE-11 |
| physical | IX, 220 S. |
| publishDate | 1997 |
| publishDateSearch | 1997 |
| publishDateSort | 1997 |
| publisher | Birkhäuser |
| record_format | marc |
| series | Operator theory |
| series2 | Operator theory |
| spelling | Gorbačuk, Miroslav L. Verfasser aut M. G. Krein's lectures on entire operators M. L. Gorbachuk ; V. I. Gorbachuk Basel [u.a.] Birkhäuser 1997 IX, 220 S. txt rdacontent n rdamedia nc rdacarrier Operator theory 97 Hermitescher Operator (DE-588)4159617-1 gnd rswk-swf Analytische Funktion (DE-588)4142348-3 gnd rswk-swf Analytische Funktion (DE-588)4142348-3 s Hermitescher Operator (DE-588)4159617-1 s DE-604 Gorbačuk, Valentina I. Verfasser aut Operator theory 97 (DE-604)BV000000970 97 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007653014&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Gorbačuk, Miroslav L. Gorbačuk, Valentina I. M. G. Krein's lectures on entire operators Operator theory Hermitescher Operator (DE-588)4159617-1 gnd Analytische Funktion (DE-588)4142348-3 gnd |
| subject_GND | (DE-588)4159617-1 (DE-588)4142348-3 |
| title | M. G. Krein's lectures on entire operators |
| title_auth | M. G. Krein's lectures on entire operators |
| title_exact_search | M. G. Krein's lectures on entire operators |
| title_full | M. G. Krein's lectures on entire operators M. L. Gorbachuk ; V. I. Gorbachuk |
| title_fullStr | M. G. Krein's lectures on entire operators M. L. Gorbachuk ; V. I. Gorbachuk |
| title_full_unstemmed | M. G. Krein's lectures on entire operators M. L. Gorbachuk ; V. I. Gorbachuk |
| title_short | M. G. Krein's lectures on entire operators |
| title_sort | m g krein s lectures on entire operators |
| topic | Hermitescher Operator (DE-588)4159617-1 gnd Analytische Funktion (DE-588)4142348-3 gnd |
| topic_facet | Hermitescher Operator Analytische Funktion |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007653014&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000000970 |
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