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An introduction to Hankel operators
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ISBN: 1316086909 1107361516 1107368480 0511623763 1107366429 0511875622 1299409008 1107363969 9781107361515 0521366119 9780521366113 0521367913 9780521367912 9780511623769 Year: 1988 Publisher: Cambridge Cambridge University press

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Abstract

Hankel operators are of wide application in mathematics (functional analysis, operator theory, approximation theory) and engineering (control theory, systems analysis) and this account of them is both elementary and rigorous. The book is based on graduate lectures given to an audience of mathematicians and control engineers, but to make it reasonably self-contained, the author has included several appendices on mathematical topics unlikely to be met by undergraduate engineers. The main prerequisites are basic complex analysis and some functional analysis, but the presentation is kept straightforward, avoiding unnecessary technicalities so that the fundamental results and their applications are evident. Some 45 exercises are included.


Book
La théorie des fonctions de Bessel : exposée en vue de ses applications à la physique mathématique
Authors: ---
Year: 1955 Publisher: Paris : Service des publications du Centre National de la Recherche Scientifique,

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Book
Les transformations de Mellin et de Hankel : applications à la physique mathématique
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Year: 1959 Publisher: Paris : CNRS Editions,


Book
Generalized integral transformations
Author:
ISBN: 0470981857 Year: 1968 Publisher: New York : Interscience Publishers, a division of John Wiley & Sons, Inc.,


Book
Operator theory in function spaces
Author:
ISBN: 0824784111 9780824784119 Year: 1990 Volume: 139 Publisher: New York Marcel Dekker


Book
Integral transforms in applied mathematics
Author:
ISBN: 0521083745 9780521083744 9780511897351 9780521090681 Year: 1971 Publisher: Cambridge : Cambridge university press,


Book
Integral transforms in mathematical physics
Author:
Year: 1951 Publisher: London : New York, NY : Methuen John Wiley,


Book
Tables of Fourier, Laplace and Hankel transforms of n-dimensional generalized functions
Authors: --- ---
Year: 1994 Publisher: Buenos Aires : Universidad de Buenos Aires, Facultad de Ciencias exactas y Naturales, Departamento de Matematica,

Interpolation, Schur functions, and moment problems
Authors: ---
ISBN: 1280613173 9786610613175 3764375477 3764375469 Year: 2006 Publisher: Basel ; Boston : Birkhauser Verlag,

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Abstract

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.

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