The Classical Moment Problem

and Some Related Questions in Analysis

N. I. Akhiezer

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English

Dover Publications Inc.
01 February 2021

Mathematics & Sciences; Algebra

"The moment problem in mathematics focuses on a measure within a sequence over a temporal period. Issues associated with the moment problem involve probability theory as a measure of mean, variance, and so on. This text, written by a leading Soviet mathematician, provides a classic treatment of such topics that also involve:

.

Linear algebra .

Probability theory .

Stochastic processes .

Quantum fields .

Signal processing and other related subjects.

The treatment, which derives from lectures delivered by the author at Kharkov University, addresses infinite Jacobi matrices and their associated polynomials, the power moment problem, function theoretic methods in the moment problem, inclusion of the power moment problem in the spectral theory of operators, and trigonmetric and continuous analogies.

For mathematicians and graduate-level educators and students.

AUTHOR: Soviet mathematician Naum Il'yich Akhiezer (190180) was noted for his works in approximation theory and the theory of differential and integral operators. He is also the author of classic books on analysis and the history of mathematics. He studied at the Kiev Institute of Public Education (now known as Taras Shevchenko National University of Kyiv). In 1928, he defended his PhD thesis ""Aerodynamical Investigations"" under the supervision of Dimity Grave. From 192833 he worked at the Kiev University and at the Kiev Aviation Institute."

By: N. I. Akhiezer
Imprint: Dover Publications Inc.
Country of Publication: United States
Dimensions: Height: 215mm, Width: 140mm, Spine: 14mm
Weight: 325g
ISBN: 9780486845555
ISBN 10: 0486845559
Pages: 272
Publication Date: 01 February 2021
Audience: General/trade , Professional and scholarly , ELT Advanced , Undergraduate
Format: Paperback
Publisher's Status: Unspecified

Soviet mathematician N.I. Akhiezer (1901-80) was noted for his works in approximation theory and the theory of differential and integral operators. He is also the author of classic books on analysis and the history of mathematics. He studied at the Kiev Institute of Public Education (now known as Taras Shevchenko National University of Kyiv). In 1928, he defended his PhD thesis Aerodynamical Investigations under the supervision of Dimity Grave. From 1928-33 he worked at the Kiev University and at the Kiev Aviation Institute.