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A Discrete Hilbert Transform with Circle Packings (Record no. 427176)

MARC details
000 -LEADER
fixed length control field 03412nam a22005055i 4500
020 ## - INTERNATIONAL STANDARD BOOKNUMBER
International Standard Book Number 9783658204570
-- 978-3-658-20457-0
024 7# -
-- 10.1007/978-3-658-20457-0
-- doi
040 ## -
-- ISI Library, Kolkata
050 #4 -
-- QA299.6-433
072 #7 -
-- PBK
-- bicssc
072 #7 -
-- MAT034000
-- bisacsh
072 #7 -
-- PBK
-- thema
082 04 - DEWEYDECIMAL CLASSIFICATION NUMBER
Classification number 515
Edition number 23
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Volland, Dominik.
Relator code aut
-- http://id.loc.gov/vocabulary/relators/aut
245 12 - TITLE STATEMENT
Title A Discrete Hilbert Transform with Circle Packings
Medium [electronic resource] /
Statement of responsibility, etc by Dominik Volland.
942 ## - ADDED ENTRY ELEMENTS(KOHA)
Koha item type E-BOOKS
100 1# - MAIN ENTRY--PERSONAL NAME
-- author.
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE STATEMENTS
Place of production, publication, distribution, manufacture Wiesbaden :
Name of producer, publisher, distributor, manufacturer Springer Fachmedien Wiesbaden :
-- Imprint: Springer Spektrum,
Date of production, publication, distribution, manufacture 2017.
300 ## -
-- XI, 102 p. 27 illus., 10 illus. in color.
-- online resource.
336 ## - CONTENT TYPE
Content Type Term text
Content Type Code txt
Source rdacontent
337 ## - MEDIA TYPE
Media Type Term computer
Media Type Code c
Source rdamedia
338 ## - CARRIER TYPE
Carrier Type Term online resource
Carrier Type Code cr
Source rdacarrier
347 ## -
-- text file
-- PDF
-- rda
490 1# -
-- BestMasters,
-- 2625-3577
505 0# -
-- 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.
520 ## -
-- 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). .
650 #0 -
-- Global analysis (Mathematics).
650 #0 -
-- Geometry.
650 #0 -
-- Computer science
-- Mathematics.
650 14 -
-- Analysis.
-- http://scigraph.springernature.com/things/product-market-codes/M12007
650 24 -
-- Geometry.
-- http://scigraph.springernature.com/things/product-market-codes/M21006
650 24 -
-- Computational Mathematics and Numerical Analysis.
-- http://scigraph.springernature.com/things/product-market-codes/M1400X
710 2# -
-- SpringerLink (Online service)
773 0# -
-- Springer eBooks
776 08 -
-- Printed edition:
-- 9783658204563
776 08 -
-- Printed edition:
-- 9783658204587
830 #0 -
-- BestMasters,
-- 2625-3577
856 40 -
-- https://doi.org/10.1007/978-3-658-20457-0
912 ## -
-- ZDB-2-SMA
950 ## -
-- Mathematics and Statistics (Springer-11649)

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