Author : N. I. Akhiezer
Publisher : Courier Dover Publications
Page : 273 pages
File Size : 41,18 MB
Release : 2020-12-16
Category : Mathematics
ISBN : 0486845559
This text provides a classic treatment of issues associated with the moment problem that also involve linear algebra, probability theory, stochastic processes, quantum fields, signal processing, and more. 1965 edition.
Author : N.I. Akhiezer
Publisher : SIAM
Page : 267 pages
File Size : 24,65 MB
Release : 2020-12-01
Category : Mathematics
ISBN : 1611976391
The mathematical theory for many application areas depends on a deep understanding of the theory of moments. These areas include medical imaging, signal processing, computer visualization, and data science. The problem of moments has also found novel applications to areas such as control theory, image analysis, signal processing, polynomial optimization, and statistical big data. The Classical Moment Problem and Some Related Questions in Analysis presents a unified treatment of the development of the classical moment problem from the late 19th century to the middle of the 20th century. Important connections between the moment problem and many branches of analysis are presented. In this self-contained text, readers will find a unified exposition of important classical results, which are difficult to read in the original journals, as well as a strong foundation for many areas in modern applied mathematics. Researchers in areas that use techniques developed for the classical moment problem will find the book of interest.
Author : Naum Ilʹich Akhiezer
Publisher :
Page : 0 pages
File Size : 10,1 MB
Release : 1965
Category : Functional analysis
ISBN : 9780028402307
Author : Naum Ilʹich Akhiezer
Publisher :
Page : 253 pages
File Size : 26,55 MB
Release : 1977
Category :
ISBN :
Author : Naum Ilʹich Akhiezer
Publisher :
Page : pages
File Size : 39,5 MB
Release :
Category : Moment spaces
ISBN :
Author : Naum Ilʹich Akhiezer
Publisher :
Page : 253 pages
File Size : 30,41 MB
Release : 1965
Category : Spectral theory (Mathematics)
ISBN :
Author : Naum Ilʹich Akhiezer
Publisher :
Page : 253 pages
File Size : 19,85 MB
Release : 1965
Category : Functional analysis
ISBN :
Author : Naum Ilʹich Akhiezer
Publisher :
Page : 0 pages
File Size : 27,96 MB
Release : 1965
Category : Theory of distributions (Functional analysis)
ISBN :
Author : Naum Il'ich AKHIEZER
Publisher :
Page : 253 pages
File Size : 21,9 MB
Release : 1965
Category :
ISBN :
Author : Daniel Alpay
Publisher : Springer Science & Business Media
Page : 306 pages
File Size : 28,89 MB
Release : 2012-07-25
Category : Mathematics
ISBN : 3034804288
The origins of Schur analysis lie in a 1917 article by Issai Schur in which he constructed a numerical sequence to correspond to a holomorphic contractive function on the unit disk. These sequences are now known as Schur parameter sequences. Schur analysis has grown significantly since its beginnings in the early twentieth century and now encompasses a wide variety of problems related to several classes of holomorphic functions and their matricial generalizations. These problems include interpolation and moment problems as well as Schur parametrization of particular classes of contractive or nonnegative Hermitian block matrices. This book is primarily devoted to topics related to matrix versions of classical interpolation and moment problems. The major themes include Schur analysis of nonnegative Hermitian block Hankel matrices and the construction of Schur-type algorithms. This book also covers a number of recent developments in orthogonal rational matrix functions, matrix-valued Carathéodory functions and maximal weight solutions for particular matricial moment problems on the unit circle.
