18 citations · 88 across the 21 of their papers we have counts for
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Fourier Theory on the Complex Plane III: Low-Pass Filters, Singularity Splitting and Infinite-Order Filters
Jorge L. deLyra
When Fourier series are employed to solve partial differential equations, low-pass filters can be used to regularize divergent series that may appear. In this paper we show that th…
Fourier Theory on the Complex Plane II: Weak Convergence, Classification and Factorization of Singularities
Jorge L. deLyra
The convergence of DP Fourier series which are neither strongly convergent nor strongly divergent is discussed in terms of the Taylor series of the corresponding inner analytic fun…
Fourier Theory on the Complex Plane I: Conjugate Pairs of Fourier Series and Inner Analytic Functions
Jorge L. deLyra
A correspondence between arbitrary Fourier series and certain analytic functions on the unit disk of the complex plane is established. The expression of the Fourier coefficients is…
Gaussian-Perturbative Calculations with a Homogeneous External Source
Jorge L. deLyra
We derive the equation of the critical curve and calculate the renormalized masses of the -symmetric model in the presence of a homogeneous external source. We do t…