Description
Book SynopsisDeals with the theory of Toeplitz forms. This work also focuses on applications, in particular to the calculus of probability and mathematical statistics. It intends to elucidate the principal ideas of this chapter of modern analysis and to help the interested student of mathematical statistics to acquire a working knowledge of the subject.
Table of ContentsPart I: Toeplitz Forms: Preliminaries Orthogonal polynomials. Algebraic properties Orthogonal polynomials. Limit properties The trigonometric moment problem Eigenvalues of Toeplitz forms Generalizations and analogs of Toeplitz forms Further generalizations Certain matrices and integral equations of the Toeplitz type; Part II: Applications of Toeplitz Forms: Applications to analytic functions Applications to probability theory Applications to statistics Appendix: Notes and references Bibliography Index.
