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Fractional Cauchy Transforms

Rita A. Hibschweiler and Thomas H. MacGregor
Publisher: 
Chapman & Hall/CRC
Publication Date: 
2006
Number of Pages: 
248
Format: 
Hardcover
Series: 
Monographs and Surveys in Pure and Applied Mathematics 136
Price: 
89.95
ISBN: 
1-58488-560-2
Category: 
Monograph
We do not plan to review this book.

 INTRODUCTION
Definition of the families Fa
Relations between F1and H1
The Riesz-Herglotz formula
Representations with real measures and h1
The F. and M. Riesz theorem
The representing measures for functions in F1
The one-to-one correspondence between measures and functions in the Riesz-Herglotz formula
The Banach space structure of Fa
Norm convergence and convergence uniform on compact sets
Notes

BASIC PROPERTIES OF Fa o
Properties of the gamma function and the binomial coefficients
A product theorem
Membership of f and f ' in Fa
The inclusion of Fa in Fb when 0 = a

Dummy View - NOT TO BE DELETED