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real-valued function

   Also found in: Wikipedia 0.01 sec.
real-valued function [¦rēl ¦val·yüd ′fəŋk·shən]
(mathematics)
A function whose values are real numbers.


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Now let us suppose that a real-valued function f is defined on [a,[infinity]) = {t [member of] T : t [greater than or equal to] a} and is integrable from a to any point A [member of] T with A [greater than or equal to] a.
The real-valued functions satisfy our characterization condition for the classical case.
The text starts with an introduction to complex numbers and leads the reader in topics such as Hilbert spaces, complex analysis in several variables, Compact integral operators, and gives some positivity conditions for real-valued functions.
 
 
 
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