6533b7dafe1ef96bd126e356

RESEARCH PRODUCT

Annihilation Operators for Exponential Spaces in Subdivision

Lucia RomaniCostanza ContiSergio López-ureña

subject

Subdivision schemePure mathematicsAnnihilationbusiness.industryApplied MathematicsDifference operator annihilating exponentials; Exponential function preservation; Subdivision schemeHyperbolic functionNumerical Analysis (math.NA)Exponential functionComputational MathematicsDifference operator annihilating exponentialFOS: MathematicsMathematics - Numerical AnalysisTrigonometryVariety (universal algebra)businessRepresentation (mathematics)Differential (mathematics)MathematicsSubdivisionExponential function preservation

description

We investigate properties of differential and difference operators annihilating certain finite-dimensional subspaces of exponential functions in two variables that are connected to the representation of real-valued trigonometric and hyperbolic functions. Although exponential functions appear in a variety of contexts, the motivation behind this work comes from considering subdivision schemes with the capability of preserving those exponential functions required for an exact description of surfaces parametrized in terms of trigonometric and hyperbolic functions.

yearjournalcountryeditionlanguage
2022-01-01
https://dx.doi.org/10.48550/arxiv.2012.09485