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Integral transforms. --- Hankel operators. --- Transformations intégrales --- Hankel, Opérateurs de --- Fonctions speciales --- Fonctions de bessel

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Functional analysis. --- Hankel operators. --- Integral transforms. --- Analyse fonctionnelle --- Hankel, Opérateurs de --- Transformations intégrales --- Fonctions generalisees --- Transformation de laplace

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Integral transforms. --- Hankel operators. --- Transformations intégrales --- Hankel, Opérateurs de --- Fourier, Transformations de --- Fourier transformations --- Transformation de laplace --- Formulaires. --- Forms. --- Formulaire

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Integral transforms --- 517.4 --- #TCPW W3.0 --- #TCPW W3.3 --- Transform calculus --- Integral equations --- Transformations (Mathematics) --- Functional determinants. Integral transforms. Operational calculus --- Integral transforms. --- 517.4 Functional determinants. Integral transforms. Operational calculus --- Hankel operators --- Transformations intégrales --- Hankel, Opérateurs de --- Hankel operators. --- Hankel, Opérateurs de --- Transformations intégrales --- Fourier, Transformations de --- Convolution --- Transformation de laplace

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Schur analysis originates with an 1917 article of Schur where he associated to a function, which is analytic and contractive in the open unit disk, a sequence, finite or infinite, of numbers in the open unit disk, called Schur coefficients. In signal processing, they are often named reflection coefficients. Under the word "Schur analysis" one encounters a variety of problems related to Schur functions, such as interpolation problems, moment problems, the study of the relationships between the Schur coefficients and the properties of the function, or the study of underlying operators. Such questions are also considered for some generalizations of Schur functions. Furthermore, there is an extension of the notion of a Schur function for functions that are analytic and have a positive real part in the open upper half-plane; these functions are called Carathéodory functions. This volume is almost entirely dedicated to the analysis of Schur and Carathéodory functions and to the solutions of problems for these classes.

Inverse problems (Differential equations) --- Linear operators. --- Toeplitz operators. --- Hankel operators. --- Wiener-Hopf operators. --- Interpolation. --- Schur functions. --- Moment problems (Mathematics) --- Calculus, Operational --- S-functions --- Schur's functions --- Holomorphic functions --- Approximation theory --- Numerical analysis --- Operators, Wiener-Hopf --- Factorization of operators --- Linear operators --- Operators, Hankel --- Integral operators --- Operators, Toeplitz --- Linear maps --- Maps, Linear --- Operators, Linear --- Operator theory --- Differential equations --- Operator theory. --- System theory. --- Functional analysis. --- Operator Theory. --- Systems Theory, Control. --- Functional Analysis. --- Functional calculus --- Calculus of variations --- Functional equations --- Integral equations --- Functional analysis --- Systems, Theory of --- Systems science --- Science --- Philosophy --- Systems theory.