25 citations · 41 across the 28 of their papers we have counts for
33 papers
Summing series using recurrence relations
Erik Talvila
Power series in which the summand satisfies a linear recurrence relation with polynomial coefficients are shown to be the solution of a linear differential or algebraic equation. S…
The heat equation with the primitive integral
Erik Talvila
For each a Banach space of integrable Schwartz distributions is defined by taking the distributional derivative of all functions in . Such distri…
Sharp norm estimates for the classical heat equation
Erik Talvila
Sharp estimates of solutions of the classical heat equation are proved in norms on the real line.
Fourier transform inversion: Bounded variation, polynomial growth, Henstock--Stieltjes integration
Erik Talvila
In this paper we prove pointwise and distributional Fourier transform inversion theorems for functions on the real line that are locally of bounded variation, while in a neighbourh…
Fourier transform inversion in the Alexiewicz norm
Erik Talvila
If it is proved that , where is the Dirichlet kernel and $\lVert f\rVert = \sup_{α<β}|\i…
Variations on least squares
Erik Talvila
Three methods of least squares are examined for fitting a line to points in the plane. Two well known methods are to minimize sums of squares of vertical or horizontal distances to…