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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