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| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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230829b xxu||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9783658204563 |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
515.723 |
| Item number |
VOL |
| 100 ## - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Volland, Dominik |
| 245 ## - TITLE STATEMENT |
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| Title |
Discrete Hilbert transform with circle packings |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| Name of publisher, distributor, etc |
Springer Spektrum, |
| Date of publication, distribution, etc |
2017 |
| Place of publication, distribution, etc |
Wiesbaden : |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
xi, 102 p. ; |
| Other physical details |
ill., (some color), |
| Dimensions |
21 cm |
| 365 ## - TRADE PRICE |
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| Price amount |
49.99 |
| Price type code |
EUR |
| Unit of pricing |
94.90 |
| 490 ## - SERIES STATEMENT |
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| Series statement |
Best Masters |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc |
Includes bibliographical references. |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc |
Dominik Volland studies the construction of a discrete counterpart to the Hilbert transform in the realm of a nonlinear discrete complex analysis given by circle packings. The Hilbert transform is closely related to Riemann-Hilbert problems which have been studied in the framework of circle packings by E. Wegert and co-workers since 2009. The author demonstrates that the discrete Hilbert transform is well-defined in this framework by proving a conjecture on discrete problems formulated by Wegert. Moreover, he illustrates its properties by carefully chosen numerical examples. Basic knowledge of complex analysis and functional analysis is recommended. Contents Hardy Spaces and Riemann-Hilbert Problems The Hilbert Transform in the Classical Setting Circle Packings Discrete Boundary Value Problems Discrete Hilbert Transform Numerical Results of Test Computations Properties of the Discrete Transform Target Groups Lecturers and students of mathematics who are interested in circle packings and/or discrete Riemann-Hilbert problems. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Banach space |
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Boundary value problem |
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Circle packing |
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| Topical term or geographic name as entry element |
Harmonic functions |
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| Topical term or geographic name as entry element |
Holomorphic functions |
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| Topical term or geographic name as entry element |
HRHP |
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Maximal packing |
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| Topical term or geographic name as entry element |
Riemann-Hilbert problem |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Source of classification or shelving scheme |
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| Item type |
Books |