Authors:Yu V. Shestopalov, Yu. G. Smirnov, E. V. Chernokozhi
Publisher: Walter de Gruyter
Keywords: electromagnetics, equations, integral, logarithmic
Number of Pages: 117
Published: 2000-06
List price: $137.00
ISBN-10: 906764322X
ISBN-13: 9789067643221

This work presents an extensive overview of logarithmic integral operators with kernels depending on one or several complex parameters. Solvability of corresponding boundary value problems and determination of characteristic numbers are analyzed by considering these operators as operator-value functions of appropriate complex (spectral) parameters. Therefore, the method serves as a useful addition to classical approaches. Special attention is given to the analysis of finite-meromorphic operator-valued functions, and explicit formulas for some inverse operators and characteristic numbers are de

Authors:A. Baker, G. Wüstholz,
Publisher: Cambridge University Press
Keywords: mathematical, monographs, new, geometry, forms, diophantine, logarithmic
Number of Pages: 208
Published: 2008-02-18
List price: $73.00
ISBN-10: 0521882680
ISBN-13: 9780521882682

There is now much interplay between studies on logarithmic forms and deep aspects of arithmetic algebraic geometry. New light has been shed, for instance, on the famous conjectures of Tate and Shafarevich relating to abelian varieties and the associated celebrated discoveries of Faltings establishing the Mordell conjecture. This book gives an account of the theory of linear forms in the logarithms of algebraic numbers with special emphasis on the important developments of the past twenty-five years. The first part covers basic material in transcendental number theory but with a modern perspect

Author: Paul Koosis
Publisher: Cambridge University Press
Keywords: advanced, mathematics, studies, cambridge, integral, volume, logarithmic
Number of Pages: 628
Published: 1998-12-28
List price: $84.00
ISBN-10: 0521596726
ISBN-13: 9780521596725

The theme of this unique work, the logarithmic integral, lies athwart much of twentieth century analysis. It is a thread connecting many apparently separate parts of the subject, and is a natural point at which to begin a serious study of real and complex analysis. Professor Koosis’ aim is to show how, from simple ideas, one can build up an investigation that explains and clarifies many different, seemingly unrelated problems; to show, in effect, how mathematics grows. The presentation is straightforward, so this, the first of two volumes, is self-contained, but more importantly, by foll

Authors:Edward B. Saff, Vilmos Totik,
Publisher: Springer
Keywords: der, mathematischen, wissenschaften, grundlehren, fields, potentials, external, logarithmic
Number of Pages: 505
Published: 1997-11-13
List price: $129.00
ISBN-10: 3540570780
ISBN-13: 9783540570783

Primarily uses electrostatic interpretation of the underlying basic extremal problem of potential theory without delving into deep concepts of physics. DLC: Potential theory (Mathematics)

Author: Gilles Royer
Publisher: American Mathematical Society
Keywords: monographs, ams, smf, amp, logarithmic, texts, sobolev, initiation, inequalities
Number of Pages: 119
Published: 2007-10-19
List price: $39.00
ISBN-10: 0821844016
ISBN-13: 9780821844014

This book provides an introduction to logarithmic Sobolev inequalities with some important applications to mathematical statistical physics. Royer begins by gathering and reviewing the necessary background material on selfadjoint operators, semigroups, Kolmogorov diffusion processes, solutions of stochastic differential equations, and certain other related topics. There then is a chapter on log Sobolev inequalities with an application to a strong ergodicity theorem for Kolmogorov diffusion processes. The remaining two chapters consider the general setting for Gibbs measures including existence

Author: V. G. Cherednichenko
Publisher: Walter de Gruyter
Keywords: inverse, problems, series, posed, problem, logarithmic, potential
Number of Pages: 247
Published: 1996-04
List price: $231.00
ISBN-10: 9067642029
ISBN-13: 9789067642026

This monograph deals with the solvability of the inverse potential problem in the two-dimensional case. A new method based on the theory of boundary-value problems for analytic functions and univalent functions is constructed, and local existence theorems, a priori estimates, and a parameter continuation method are established. Furthermore, the smoothness of the inverse problem solution is investigated. The obtained results are applied to geologic interpretation of gravitational and magnetic fields. The following sections of mathematical analyses are used: harmonic functions; boundary-value pr