The Logarithmic Potential and Other Monographs
Title | The Logarithmic Potential and Other Monographs PDF eBook |
Author | Griffith Conrad Evans |
Publisher | American Mathematical Soc. |
Pages | 402 |
Release | 1980 |
Genre | Differential equations, Partial |
ISBN | 9780828403054 |
The volume contains the following monographs: The Logarithmic Potential by Evans Fundamental Existence Theorems by Bliss Differential-Geometric Aspects of Dynamics by Kasner All three monographs were originally published by the AMS and are now available in this single volume from AMS Chelsea Publishing.
THE LOGARITHMIC POTENTIAL AND OTHER MONOGRAPHS.
Title | THE LOGARITHMIC POTENTIAL AND OTHER MONOGRAPHS. PDF eBook |
Author | Gilbert Ames Bliss |
Publisher | |
Pages | 117 |
Release | 1980 |
Genre | |
ISBN |
Logarithmic Potentials with External Fields
Title | Logarithmic Potentials with External Fields PDF eBook |
Author | Edward B. Saff |
Publisher | Springer Science & Business Media |
Pages | 517 |
Release | 2013-11-11 |
Genre | Mathematics |
ISBN | 3662033291 |
In recent years approximation theory and the theory of orthogonal polynomials have witnessed a dramatic increase in the number of solutions of difficult and previously untouchable problems. This is due to the interaction of approximation theoretical techniques with classical potential theory (more precisely, the theory of logarithmic potentials, which is directly related to polynomials and to problems in the plane or on the real line). Most of the applications are based on an exten sion of classical logarithmic potential theory to the case when there is a weight (external field) present. The list of recent developments is quite impressive and includes: creation of the theory of non-classical orthogonal polynomials with re spect to exponential weights; the theory of orthogonal polynomials with respect to general measures with compact support; the theory of incomplete polynomials and their widespread generalizations, and the theory of multipoint Pade approximation. The new approach has produced long sought solutions for many problems; most notably, the Freud problems on the asymptotics of orthogonal polynomials with a respect to weights of the form exp(-Ixl ); the "l/9-th" conjecture on rational approximation of exp(x); and the problem of the exact asymptotic constant in the rational approximation of Ixl. One aim of the present book is to provide a self-contained introduction to the aforementioned "weighted" potential theory as well as to its numerous applications. As a side-product we shall also fully develop the classical theory of logarithmic potentials.
Inverse Logarithmic Potential Problem
Title | Inverse Logarithmic Potential Problem PDF eBook |
Author | V. G. Cherednichenko |
Publisher | Walter de Gruyter GmbH & Co KG |
Pages | 256 |
Release | 2014-07-24 |
Genre | Mathematics |
ISBN | 3110900122 |
The Inverse and Ill-Posed Problems Series is a series of monographs publishing postgraduate level information on inverse and ill-posed problems for an international readership of professional scientists and researchers. The series aims to publish works which involve both theory and applications in, e.g., physics, medicine, geophysics, acoustics, electrodynamics, tomography, and ecology.
The logarithmic potential in higher dimensions
Title | The logarithmic potential in higher dimensions PDF eBook |
Author | Bent Fuglede |
Publisher | |
Pages | 13 |
Release | 1960 |
Genre | |
ISBN |
The Logarithmic Potential in Higher Dimensions
Title | The Logarithmic Potential in Higher Dimensions PDF eBook |
Author | Bent Fuglede |
Publisher | |
Pages | 13 |
Release | 1960 |
Genre | Harmonic functions |
ISBN |
ACS Monograph
Title | ACS Monograph PDF eBook |
Author | American Chemical Society |
Publisher | |
Pages | 304 |
Release | 1927 |
Genre | Chemistry |
ISBN |