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The Resource A Discrete Hilbert Transform with Circle Packings, by Dominik Volland, (electronic resource)

A Discrete Hilbert Transform with Circle Packings, by Dominik Volland, (electronic resource)

Label
A Discrete Hilbert Transform with Circle Packings
Title
A Discrete Hilbert Transform with Circle Packings
Statement of responsibility
by Dominik Volland
Creator
Subject
Language
eng
Summary
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 The Author Dominik Volland currently attends his postgraduate studies in the master’s program on computational science and engineering at the Technical University of Munich (TUM). .--
Member of
Assigning source
Provided by publisher
http://library.link/vocab/creatorName
Volland, Dominik
Image bit depth
0
Literary form
non fiction
Nature of contents
dictionaries
Series statement
  • Springer eBooks
  • BestMasters
http://library.link/vocab/subjectName
  • Mathematics
  • Mathematical analysis
  • Analysis (Mathematics)
  • Computer mathematics
  • Geometry
Label
A Discrete Hilbert Transform with Circle Packings, by Dominik Volland, (electronic resource)
Link
https://eui.idm.oclc.org/login?url=http://dx.doi.org/10.1007/978-3-658-20457-0
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
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
Control code
978-3-658-20457-0
Dimensions
unknown
Extent
1 online resource (XI, 102 pages)
File format
multiple file formats
Form of item
  • online
  • electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783658204570
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-658-20457-0
Other physical details
27 illustrations, 10 illustrations in color.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1014332905
Label
A Discrete Hilbert Transform with Circle Packings, by Dominik Volland, (electronic resource)
Link
https://eui.idm.oclc.org/login?url=http://dx.doi.org/10.1007/978-3-658-20457-0
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
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
Control code
978-3-658-20457-0
Dimensions
unknown
Extent
1 online resource (XI, 102 pages)
File format
multiple file formats
Form of item
  • online
  • electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783658204570
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-658-20457-0
Other physical details
27 illustrations, 10 illustrations in color.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1014332905

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