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.
- Lebesgue Constants (Fourier Series)
- Lebesgue Constants (Lagrange Interpolation)
- Lebesgue Covering Dimension
- Lebesgue Dimension
- Lebesgue Integrable
- Lebesgue Integral
- Lebesgue Measurability Problem
- Lebesgue Measure
- Lebesgue Minimal Problem
- Lebesgue-Radon Integral
- Lebesgue Singular Integrals
- Lebesgue-Stieltjes Integral
- Lebesgue Sum
- Le Cam's Identity
- Leech Lattice
- Lefshetz Fixed Point Formula
- Lefshetz's Theorem
- Lefshetz Trace Formula
- Leg
- Legendre Addition Theorem
- Legendre Differential Equation
- Legendre Duplication Formula
- Legendre Function of the First Kind
- Legendre Function of the Second Kind
- Legendre-Gauss Quadrature