Fourier-Stieltjes Transform
Let 
be a positive definite, measurable function on the Interval 
. Then there exists a monotoneincreasing, real-valued bounded function 
such that
for``Almost All''
. If is nondecreasing and bounded and is defined as above, then is calledthe Fourier-Stieltjes transform of , and is both continuous and positive definite. See also Fourier Transform,Laplace Transform
References
Iyanaga, S. and Kawada, Y. (Eds.). Encyclopedic Dictionary of Mathematics. Cambridge, MA: MIT Press, p. 618, 1980.
- Even Function
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