Tauberian theory : (Record no. 66833)

000 -LEADER
fixed length control field 01640nam a2200229 4500
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
ISBN 354021058X (acidfree paper)
082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 515.24
Item number KOR/T
100 1# - MAIN ENTRY--AUTHOR NAME
Personal name Korevaar, Jacob
245 10 - TITLE STATEMENT
Title Tauberian theory :
Remainder of title a century of developments
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication Berlin
Name of publisher Springer
Year of publication 2004.
300 ## - PHYSICAL DESCRIPTION
Number of Pages xv, 483 p :
Other physical details ill. ;
520 ## - SUMMARY, ETC.
Summary, etc Tauberian theory compares summability methods for series and integrals, helps to decide when there is convergence, and provides asymptotic and remainder estimates. The author shows the development of the theory from the beginning and his expert commentary evokes the excitement surrounding the early results. He shows the fascination of the difficult Hardy-Littlewood theorems and of an unexpected simple proof, and extolls Wiener's breakthrough based on Fourier theory. There are the spectacular "high-indices" theorems and Karamata's "regular variation", which permeates probability theory. The author presents Gelfand's elegant algebraic treatment of Wiener theory and his own distributional approach. There is also a new unified theory for Borel and "circle" methods. The text describes many Tauberian ways to the prime number theorem. A large bibliography and a substantial index round out the book
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Tauberian theorems
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Summability theory
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Hardy-Littlewood method
856 42 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier http://www.loc.gov/catdir/enhancements/fy0817/2004104246-b.html
856 42 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier http://www.loc.gov/catdir/enhancements/fy0817/2004104246-d.html
856 41 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier http://www.loc.gov/catdir/enhancements/fy0817/2004104246-t.html
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type BK
001 - CONTROL NUMBER
control field 13527775
010 ## - LIBRARY OF CONGRESS CONTROL NUMBER
LC control number 2004104246
952 ## - LOCATION AND ITEM INFORMATION (KOHA)
Withdrawn status
Lost status
Damaged status
Holdings
Collection code Home library Shelving location Date acquired Full call number Accession Number Koha item type
Stack Kannur University Central Library Stack 13/06/2023 515.24 KOR/T 59443 BK

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