MARC details
| 000 -LEADER |
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| fixed length control field |
04634cam a2200745 a 4500 |
| 001 - CONTROL NUMBER |
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| control field |
ocn836870312 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
OCoLC |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20220711195015.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS--GENERAL INFORMATION |
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| fixed length control field |
m o d |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION |
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| fixed length control field |
cr cnu---unuuu |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
130408s1994 enk ob 001 0 eng d |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
N$T |
| Language of cataloging |
eng |
| Description conventions |
pn |
| Transcribing agency |
N$T |
| Modifying agency |
E7B |
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OCLCO |
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OCLCF |
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YDXCP |
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OCLCQ |
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AGLDB |
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COO |
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OCLCQ |
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VTS |
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REC |
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STF |
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M8D |
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SFB |
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OCLCO |
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OCLCQ |
| 019 ## - |
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| -- |
715161908 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9781107362109 |
| Qualifying information |
(electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
1107362105 |
| Qualifying information |
(electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| Cancelled/invalid ISBN |
0521468302 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| Cancelled/invalid ISBN |
9780521468305 |
| 029 1# - (OCLC) |
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| OCLC library identifier |
DEBBG |
| System control number |
BV043083238 |
| 029 1# - (OCLC) |
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| OCLC library identifier |
DEBSZ |
| System control number |
421266554 |
| 029 1# - (OCLC) |
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| OCLC library identifier |
GBVCP |
| System control number |
804535248 |
| 035 ## - SYSTEM CONTROL NUMBER |
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| System control number |
(OCoLC)836870312 |
| Canceled/invalid control number |
(OCoLC)715161908 |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
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| Classification number |
QA404.7 |
| Item number |
.S76 1994eb |
| 072 #7 - SUBJECT CATEGORY CODE |
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| Subject category code |
MAT |
| Subject category code subdivision |
040000 |
| Source |
bisacsh |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
515.9 |
| Edition number |
22 |
| 084 ## - OTHER CLASSIFICATION NUMBER |
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| Classification number |
31.43 |
| Source of number |
bcl |
| 049 ## - LOCAL HOLDINGS (OCLC) |
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| Holding library |
MAIN |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Stoll, Manfred. |
| 9 (RLIN) |
937934 |
| 245 10 - TITLE STATEMENT |
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| Title |
Invariant potential theory in the unit ball of Cn̳ / |
| Statement of responsibility, etc |
Manfred Stoll. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| Place of publication, distribution, etc |
Cambridge ; |
| -- |
New York : |
| Name of publisher, distributor, etc |
Cambridge University Press, |
| Date of publication, distribution, etc |
1994. |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
1 online resource (x, 173 pages) |
| 336 ## - |
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text |
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txt |
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rdacontent |
| 337 ## - |
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computer |
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c |
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rdamedia |
| 338 ## - |
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online resource |
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cr |
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rdacarrier |
| 490 1# - SERIES STATEMENT |
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| Series statement |
London Mathematical Society lecture note series ; |
| Volume number/sequential designation |
199 |
| 500 ## - GENERAL NOTE |
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| General note |
On t.p. "n̳" is superscript. |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc |
Includes bibliographical references (pages 164-169) and index. |
| 588 0# - |
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| -- |
Print version record. |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc |
This monograph provides an introduction and a survey of recent results in potential theory with respect to the Laplace-Beltrami operator D in several complex variables, with special emphasis on the unit ball in Cn. Topics covered include Poisson-Szegö integrals on the ball, the Green's function for D and the Riesz decomposition theorem for invariant subharmonic functions. The extension to the ball of the classical Fatou theorem on non-tangible limits of Poisson integrals, and Littlewood's theorem on the existence of radial limits of subharmonic functions are covered in detail. The monograph also contains recent results on admissible and tangential boundary limits of Green potentials, and Lp inequalities for the invariant gradient of Green potentials. Applications of some of the results to Hp spaces, and weighted Bergman and Dirichlet spaces of invariant harmonic functions are included. The notes are self-contained, and should be accessible to anyone with some basic knowledge of several complex variables. |
| 505 0# - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
Cover; Half-title; Title; Copyright; Dedication; Contents; Introduction; 1. Notation and Preliminary Results; 1.1 Notation; 1.2 Integral Formulas on B; 1.3 Automorphisms of B; 2. The Bergman Kernel; 2.1 The Bergman Kernel; 2.2 Examples; 2.3 Properties of the Bergman Kernel; 2.4 The Bergman Metric; 3. The Laplace-Beltrami Operator; 3.1 The Invariant Laplacian; 3.2 The Invariant Laplacian for Un; 3.3 The Invariant Laplacian for B; 3.4 The Invariant Gradient; 4. Invariant Harmonic and Subharmonic Functions; 4.1 M.-Subharmonic Functions; 4.2 The Invariant Convolution on B; 4.3 The Riesz Measure |
| 505 8# - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
10.3 M-Harmonic Bergman and Dirichlet Spaces10.4 Remarks; References; Index |
| 590 ## - LOCAL NOTE (RLIN) |
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| Local note |
eBooks on EBSCOhost |
| Provenance (VM) [OBSOLETE] |
EBSCO eBook Subscription Academic Collection - Worldwide |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Potential theory (Mathematics) |
| 9 (RLIN) |
177080 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Invariants. |
| 9 (RLIN) |
196046 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Unit ball. |
| 9 (RLIN) |
664863 |
| 650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Théorie du potentiel. |
| 9 (RLIN) |
933861 |
| 650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Invariants. |
| 9 (RLIN) |
196046 |
| 650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Boule unité. |
| 9 (RLIN) |
937935 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
MATHEMATICS |
| General subdivision |
Complex Analysis. |
| Source of heading or term |
bisacsh |
| 9 (RLIN) |
904240 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Invariants. |
| Source of heading or term |
fast |
| -- |
(OCoLC)fst00977982 |
| 9 (RLIN) |
196046 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Potential theory (Mathematics) |
| Source of heading or term |
fast |
| -- |
(OCoLC)fst01073489 |
| 9 (RLIN) |
177080 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Unit ball. |
| Source of heading or term |
fast |
| -- |
(OCoLC)fst01161416 |
| 9 (RLIN) |
664863 |
| 650 17 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Potentiaaltheorie. |
| Source of heading or term |
gtt |
| 9 (RLIN) |
933863 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Teoria do potencial. |
| Source of heading or term |
larpcal |
| 9 (RLIN) |
933864 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Análise matemática. |
| Source of heading or term |
larpcal |
| 9 (RLIN) |
937936 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Potentiel, théorie du. |
| Source of heading or term |
ram |
| 9 (RLIN) |
933865 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Invariants. |
| Source of heading or term |
ram |
| 9 (RLIN) |
196046 |
| 655 #4 - INDEX TERM--GENRE/FORM |
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| Genre/form data or focus term |
Electronic books. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
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| Display text |
Print version: |
| Main entry heading |
Stoll, Manfred. |
| Title |
Invariant potential theory in the unit ball of Cn̳. |
| Place, publisher, and date of publication |
Cambridge ; New York : Cambridge University Press, 1994 |
| International Standard Book Number |
0521468302 |
| Record control number |
(DLC) 94220904 |
| -- |
(OCoLC)31607057 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE |
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| Uniform title |
London Mathematical Society lecture note series ; |
| Volume number/sequential designation |
199. |
| 9 (RLIN) |
144795 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS |
|---|
| Uniform Resource Identifier |
<a href="https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=552468">https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=552468</a> |
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ebrary |
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EBRY |
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ebr10450708 |
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EBSCOhost |
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EBSC |
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552468 |
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YBP Library Services |
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YANK |
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10405635 |
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92 |
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INOPJ |
