18 citations · 88 across the 21 of their papers we have counts for
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math.CV2014★ 3 cited
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…
math.CV2014★ 11 cited
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…
math.CV2014★ 11 cited
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…