Marcinkiewicz integral operators constitute a central class of singular integral operators in modern harmonic analysis. These operators, defined through oscillatory integrals with rough kernels, play ...

Abstract.The purpose of this paper is to prove that the functions generated by the integral operator I(f,g)(z)= ∫ 0 z ∏ i=1 n ( f i (t) g i (t) ) γ i 𝑑𝑡 are in the class of close-to-convex functions ...

Harmonic analysis is a broad field central to understanding the representation of functions through basic waves and their associated transformations, with profound connections to Fourier analysis, ...

In previous work the author found solutions to the Toda equations that were expressed in terms of determinants of integral operators. Here it is observed that a simple variant yields solutions to the ...

This paper demonstrates applications of automatic differentiation with nested dual numbers in the diffusion operator integral variance-reduction framework originally proposed by Heath and Platen.