Tauberian theory : (Record no. 66833)
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000 -LEADER | |
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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 |
Collection code | Home library | Shelving location | Date acquired | Full call number | Accession Number | Koha item type |
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Stack | Kannur University Central Library | Stack | 13/06/2023 | 515.24 KOR/T | 59443 | BK |