Introduction to the theory of Toeplitz operators with infinite index:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English Russian |
| Published: |
Basel [u.a.]
Birkhäuser
2002
|
| Series: | Operator theory
137 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XII, 299 S. |
| ISBN: | 3764367288 |
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MARC
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| 100 | 1 | |a Dybin, Vladimir |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Introduction to the theory of Toeplitz operators with infinite index |c Vladimir Dybin ; Sergei M. Grudsky. Transl. from the Russian by Andrei Iacob |
| 264 | 1 | |a Basel [u.a.] |b Birkhäuser |c 2002 | |
| 300 | |a XII, 299 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Operator theory |v 137 | |
| 650 | 4 | |a Singulärer Integraloperator | |
| 650 | 4 | |a Toeplitz-Operator | |
| 650 | 4 | |a Integral equations | |
| 650 | 4 | |a Toeplitz operators | |
| 650 | 0 | 7 | |a Toeplitz-Operator |0 (DE-588)4191521-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Singulärer Integraloperator |0 (DE-588)4131249-1 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Toeplitz-Operator |0 (DE-588)4191521-5 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Singulärer Integraloperator |0 (DE-588)4131249-1 |D s |
| 689 | 1 | |5 DE-604 | |
| 700 | 1 | |a Grudskij, Sergej M. |e Verfasser |4 aut | |
| 830 | 0 | |a Operator theory |v 137 |w (DE-604)BV000000970 |9 137 | |
| 856 | 4 | 2 | |m DNB Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009999150&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-009999150 | |
Record in the Search Index
| _version_ | 1808226509310132224 |
|---|---|
| adam_text |
CONTENTS
PREFACE
.
XI
INTRODUCTION
.
1
1
EXAMPLES
OF
TOEPLITZ
OPERATORS
WITH
INFINITE
INDEX
AUXILIARY
MATERIAL
.
9
1.1
THE
SPACE
L
P
(R,
Q
)
AND
THE
OPERATOR
S
R
.
9
1.2
THE
CLASSES
LP(R,
P)
.
10
1.3
NORMALLY
SOLVABLE
OPERATORS
.
12
1.4
TOEPLITZ
OPERATORS
.
14
EXAMPLES
OF
OPERATORS
WITH
INFINITE
INDEX
.
17
1.5
BLASCHKE
PRODUCTS
.
17
1.6
AN
ELEMENTARY
SINGULAR
FUNCTION
.
22
1.7
BOUNDARY
DEGENERACY
.
27
REFERENCES
AND
COMMENTS
.
31
2
FACTORIZATION
AND
INVERTIBILITY
(P,
P)-FACTORIZATION
AND
^-THEORY
.
33
2.1
THE
SPACE
L
P
(T,
Q
)
AND
THE
OPERATOR
SR
.
33
2.2
CLASSES
OF
BOUNDED
AND
CONTINUOUS
FUNCTIONS
.
34
2.3
THE
CLASSES
L
P
(T,
P)
.
35
2.4
THE
CLASS
FACT(P,
P)
.
38
2.5
A
SUFFICIENT
CONDITION
FOR
(P,
P)-FACTORIZABILITY
.
44
FACTORIZATION
AND
TOEPLITZ
OPERATORS
WITH
INFINITE
INDEX
.
46
2.6
INNER-OUTER
FACTORIZATION
.
46
2.7
THE
CLASS
FACT(OO,P,
P)
AND
ONE-SIDED
INVERTIBILITY
.
49
2.8
EXAMPLES
OF
FUNCTIONS
IN
FACT(OO,P,
P)
.
55
2.9
THE
ARGUMENT
OF
A
BLASCHKE
PRODUCT
.
59
2.10
THE
ARGUMENT
OF
AN
OUTER
FUNCTION
.
66
REFERENCES
AND
COMMENTS
.
68
VIII
CONTENTS
3
MODEL
SUBSPACES
MODEL
OPERATOR
AND
MODEL
SUBSPACES
.
71
3.1
MODEL
SUBSPACES
.
71
3.2
DEFORMATION
OF
THE
CONTOUR
.
75
3.3
MODEL
SUBSPACES
ON
R
.
83
3.4
BOUNDARY
BEHAVIOR
.
88
BASES
AND
INTERPOLATION
IN
MODEL
SUBSPACES
.
93
3.5
BASES
.
93
3.6
THE
CARLESON
CONDITION
AND
INTERPOLATION
IN
H
P,E
(II)
.
94
3.7
SINE-TYPE
FUNCTIONS
.
95
3.8
BASES
OF
ENTIRE
FUNCTIONS
.
96
3.9
BASES
OF
MEROMORPHIC
FUNCTIONS
.
99
3.10
BOUNDARY
INTERPOLATION
.
105
REFERENCES
AND
COMMENTS
.
108
4
TOEPLITZ
OPERATORS
WITH
OSCILLATING
SYMBOLS
ALMOST
PERIODIC
DISCONTINUITIES
.
ILL
4.1
UNIFORMLY
ALMOST
PERIODIC
FUNCTIONS
.
112
4.2
MODEL
SUBSPACES
ON
BOUNDED
SMOOTH
CURVES
.
116
4.3
STANDARD
ALMOST
PERIODIC
DISCONTINUITIES
.
127
4.4
WELL-POSED
PROBLEMS
FOR
THE
TOEPLITZ
EQUATION
.
136
4.5
GENERAL
DISCONTINUITIES
OF
ALMOST
PERIODIC
TYPE
.
143
SEMI-ALMOST
PERIODIC
DISCONTINUITIES
.
147
4.6
THE
CLASS
SAP
.
147
4.7
MODEL
FUNCTION
.
149
4.8
GENERALIZED
FACTORIZATION
OF
SAP
FUNCTIONS
.
152
4.9
MODEL
SUBSPACES
.
159
WHIRL
POINTS
OF
POWER
TYPE
.
161
4.10
TWO-SIDED
WHIRLS
.
161
4.11
ONE-SIDED
WHIRLS
.
169
REFERENCES
AND
COMMENTS
.
171
5
GENERALIZED
FACTORIZATION
OF
U-PERIODIC
FUNCTIONS
AND
MATRIX
FUNCTIONS
5.1
BLOCK
TOEPLITZ
OPERATORS
.
175
5.2
GENERALIZED
FACTORIZATION
OF
MATRIX
FUNCTIONS
.
178
5.3
U-PERIODIC
MATRIX
FUNCTIONS
.
181
5.4
INFINITE
INDEX
OF LOGARITHMIC
TYPE
.
185
5.5
INFINITE
INDEX
OF
ARBITRARY
ORDER
.
188
5.6
SUFFICIENT
CONDITIONS
FOR
THE
THEOREM
ON
GENERAL
OSCILLATIONS.
EXAMPLES
.
204
5.7
SLOW
OSCILLATIONS
.
216
5.8
MODELLING
OF
OSCILLATIONS
.
218
CONTENTS
IX
5.9
GENERALIZED
ALMOST
PERIODIC
DISCONTINUITIES
.
220
5.10
GENERALIZED
MATRIX
PERIODIC
DISCONTINUITIES
.
222
REFERENCES
AND
COMMENTS
.
225
6
TOEPLITZ
OPERATORS
WHOSE
SYMBOLS
HAVE
ZEROS
THE
NORMALIZATION
PRINCIPLE
.
227
6.1
NORMALLY
SOLVABLE
OPERATORS
.
227
6.2
NORMALIZATION
OF
LINEAR
OPERATORS
.
228
NORMALIZATION
OF
TOEPLITZ
OPERATORS
.
236
6.3
SYMBOLS
WITH
POLYNOMIAL
DEGENERACY
.
236
6.4
SYMBOLS
WITH
LOCALLY-POLYNOMIAL
DEGENERACY
.
244
6.5
BASIC
EXAMPLES
.
256
REFERENCES
AND
COMMENTS
.
261
REFERENCES
.
265
INDEX
.
297 |
| any_adam_object | 1 |
| author | Dybin, Vladimir Grudskij, Sergej M. |
| author_facet | Dybin, Vladimir Grudskij, Sergej M. |
| author_role | aut aut |
| author_sort | Dybin, Vladimir |
| author_variant | v d vd s m g sm smg |
| building | Verbundindex |
| bvnumber | BV014765244 |
| callnumber-first | Q - Science |
| callnumber-label | QA329 |
| callnumber-raw | QA329.2 |
| callnumber-search | QA329.2 |
| callnumber-sort | QA 3329.2 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 620 |
| ctrlnum | (OCoLC)249108797 (DE-599)BVBBV014765244 |
| dewey-full | 515.7246 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.7246 |
| dewey-search | 515.7246 |
| dewey-sort | 3515.7246 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV014765244 |
| illustrated | Not Illustrated |
| indexdate | 2024-08-24T00:26:19Z |
| institution | BVB |
| isbn | 3764367288 |
| language | English Russian |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009999150 |
| oclc_num | 249108797 |
| open_access_boolean | |
| owner | DE-355 DE-BY-UBR DE-824 DE-11 |
| owner_facet | DE-355 DE-BY-UBR DE-824 DE-11 |
| physical | XII, 299 S. |
| publishDate | 2002 |
| publishDateSearch | 2002 |
| publishDateSort | 2002 |
| publisher | Birkhäuser |
| record_format | marc |
| series | Operator theory |
| series2 | Operator theory |
| spelling | Dybin, Vladimir Verfasser aut Introduction to the theory of Toeplitz operators with infinite index Vladimir Dybin ; Sergei M. Grudsky. Transl. from the Russian by Andrei Iacob Basel [u.a.] Birkhäuser 2002 XII, 299 S. txt rdacontent n rdamedia nc rdacarrier Operator theory 137 Singulärer Integraloperator Toeplitz-Operator Integral equations Toeplitz operators Toeplitz-Operator (DE-588)4191521-5 gnd rswk-swf Singulärer Integraloperator (DE-588)4131249-1 gnd rswk-swf Toeplitz-Operator (DE-588)4191521-5 s DE-604 Singulärer Integraloperator (DE-588)4131249-1 s Grudskij, Sergej M. Verfasser aut Operator theory 137 (DE-604)BV000000970 137 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009999150&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Dybin, Vladimir Grudskij, Sergej M. Introduction to the theory of Toeplitz operators with infinite index Operator theory Singulärer Integraloperator Toeplitz-Operator Integral equations Toeplitz operators Toeplitz-Operator (DE-588)4191521-5 gnd Singulärer Integraloperator (DE-588)4131249-1 gnd |
| subject_GND | (DE-588)4191521-5 (DE-588)4131249-1 |
| title | Introduction to the theory of Toeplitz operators with infinite index |
| title_auth | Introduction to the theory of Toeplitz operators with infinite index |
| title_exact_search | Introduction to the theory of Toeplitz operators with infinite index |
| title_full | Introduction to the theory of Toeplitz operators with infinite index Vladimir Dybin ; Sergei M. Grudsky. Transl. from the Russian by Andrei Iacob |
| title_fullStr | Introduction to the theory of Toeplitz operators with infinite index Vladimir Dybin ; Sergei M. Grudsky. Transl. from the Russian by Andrei Iacob |
| title_full_unstemmed | Introduction to the theory of Toeplitz operators with infinite index Vladimir Dybin ; Sergei M. Grudsky. Transl. from the Russian by Andrei Iacob |
| title_short | Introduction to the theory of Toeplitz operators with infinite index |
| title_sort | introduction to the theory of toeplitz operators with infinite index |
| topic | Singulärer Integraloperator Toeplitz-Operator Integral equations Toeplitz operators Toeplitz-Operator (DE-588)4191521-5 gnd Singulärer Integraloperator (DE-588)4131249-1 gnd |
| topic_facet | Singulärer Integraloperator Toeplitz-Operator Integral equations Toeplitz operators |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009999150&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000000970 |
| work_keys_str_mv | AT dybinvladimir introductiontothetheoryoftoeplitzoperatorswithinfiniteindex AT grudskijsergejm introductiontothetheoryoftoeplitzoperatorswithinfiniteindex |