2 papers
math.CA2018
Direct Proofs of the Fundamental Theorem of Calculus for the Omega Integral
C. Bryan Dawson, Matthew Dawson
When introduced in a 2018 article in the American Mathematical Monthly, the omega integral was shown to be an extension of the Riemann integral. Although results for continuous fun…
math.FA1994
On Convergence of Conditional Expectation Operators
C. Bryan Dawson
Given an operator or ${T:U(Σ)\to Y$, one may consider the net of conditional expectation operators directed by refinement of the partitions . It has been…