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
Contributor
Author
Provider
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
http://library.link/vocab/creatorName
Volland, Dominik
Image bit depth
0
LC call number
QA299.6-433
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
SpringerLink
Series statement
BestMasters
http://library.link/vocab/subjectName
  • Mathematics
  • Mathematical analysis
  • Analysis (Mathematics)
  • Computer science
  • Geometry
  • Mathematics
  • Analysis
  • Geometry
  • Computational Mathematics and Numerical Analysis
Label
A Discrete Hilbert Transform with Circle Packings, by Dominik Volland, (electronic resource)
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
Dimensions
unknown
Extent
XI, 102 p. 27 illus., 10 illus. in color.
File format
multiple file formats
Form of item
electronic
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
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-658-20457-0
Label
A Discrete Hilbert Transform with Circle Packings, by Dominik Volland, (electronic resource)
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
Dimensions
unknown
Extent
XI, 102 p. 27 illus., 10 illus. in color.
File format
multiple file formats
Form of item
electronic
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
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-658-20457-0

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