Search Results for tauberian-remainder-theorems

Author: Tord H. Ganelius

Publisher: Springer

ISBN: 9783540369790

Category: Mathematics

Page: 76

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2006-11-15 By Tord H. Ganelius

[V23] Strouse, E., see Esterle Strube, S.P.M. [1974] [1975] A Tauberian remainder theorem with applications to Lambert summability. Math. Scand. 34. 137–144. [VII.20] Tauberian remainder theorems for the Borel methods. J. Reine Angew.

Author: Jacob Korevaar

Publisher: Springer Science & Business Media

ISBN: 9783662102251

Category: Mathematics

Page: 483

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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.
2013-03-09 By Jacob Korevaar

Author: SIN PHING MOO STRUBE

Publisher:

ISBN: OCLC:68281585

Category:

Page: 75

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Author: Tord H. Ganelius

Publisher:

ISBN: OCLC:610012502

Category:

Page: 75

View: 746

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In this dissertation the following three papers by the author are summarized: A. On general Tauberian remainder theorems, Math. Scand. 17 (1965), 77-88. B. Tauberian problems for the n-dimensional Laplace transform I, Math. Scand.

Author: Lennart Frennemo

Publisher:

ISBN: CORNELL:31924001103807

Category: Convolutions (Mathematics)

Page: 10

View: 801

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PREFACE Tauberian theorems are usually assumed to connect the asymptotic behaviour of a generalized function (or a ... in M.A. Subhankulov's Tauberian Theorems with Remainder (1979), and in T.H. Ganelius' "Tauberian remainder theorems' ...

Author: V.S. Vladimirov

Publisher: Springer Science & Business Media

ISBN: 9789400928312

Category: Mathematics

Page: 293

View: 185

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Approach your problems from the right end It isn't that they can't see the solution. It is and begin with the answers. Then one day, that they can't see the problem. perhaps you will find the final question. The Scandal of Father G. K. Chesterton. 'The Hermit Clad in Crane Feathers' in R. Brown 'The point of a Pin'. van Gulik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as "experimental mathematics", "CFD", "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics.
2012-12-06 By V.S. Vladimirov

Z. Wahrscheinlichkeitstheor: Verw. Geb. 65, 35–48. Feller, W. (1966). An Introduction to Probability Theory and Its Applications. V II. Wiley, New York– London—Sydney. Frennemo, L. (1965). On general Tauberian remainder theorems. Math.

Author: Arsen L. Yakimiv

Publisher: Walter de Gruyter

ISBN: 9783110195293

Category: Mathematics

Page: 233

View: 635

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The series is devoted to the publication of high-level monographs and surveys which cover the whole spectrum of probability and statistics. The books of the series are addressed to both experts and advanced students.
2005-01-01 By Arsen L. Yakimiv

Author: Arne Lydén

Publisher:

ISBN: OCLC:186559319

Category:

Page: 30

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1970 By Arne Lydén

T. GANELIUS , Some applications of a lemma on Fourier series , Acad . Serbe । 1 3 . 1 3 9015 04041 4651 Distr. Sci . Publ . Inst . Math . 11 ( 1957 ) , 9—18 . 7. T. GANELIUS , General and special tauberian remainder theorems , C. R. du ...

Author: Tord H. Ganelius

Publisher:

ISBN: UOM:39015040414651

Category: Convolutions (Mathematics)

Page: 13

View: 445

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Remainder formulations Tauberian remainder theorems typically deduce f ( x ) = c + 062 , ( x ) ) ( x > 00 ) from kf ( x ) = ck ( 0 ) + ( 22 ( x ) ) , under Tauberian conditions . Here the Pi are specified o ( 1 ) functions .

Author: N. H. Bingham

Publisher: Cambridge University Press

ISBN: 0521379431

Category: Mathematics

Page: 494

View: 444

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A comprehensive account of the theory and applications of regular variation.
1989-06-15 By N. H. Bingham