This monograph presents the solution of the classical moment problem, the construction of Jacobi matrices and corresponding polynomials. The cases of strongly,trigonometric, complex and real two-dimensional moment problems are discussed, and the Jacobi-type matrices corresponding to the trigonometric moment problem are shown. The Berezansky theory of the expansion in generalized eigenvectors for corresponding set of commuting operators plays the key role in the proof of results. The book is recommended for researchers in fields of functional analysis, operator theory, mathematical physics, and engineers who deal with problems of coupled pendulums.
By:
Yurij M. Berezansky, Mykola E. Dudkin Translated by:
Mykola E. Dudkin Imprint: Birkhauser Verlag AG Country of Publication: Switzerland Edition: 2023 ed. Volume: 294 Dimensions:
Height: 235mm,
Width: 155mm,
Weight: 910g ISBN:9783031463860 ISBN 10: 3031463862 Series:Operator Theory: Advances and Applications Pages: 487 Publication Date:30 November 2023 Audience:
Professional and scholarly
,
Undergraduate
Format:Hardback Publisher's Status: Active