7 citations · 13 across the 5 of their papers we have counts for
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Complex Analysis of Real Functions VII: A Simple Extension of the Cauchy-Goursat Theorem
Jorge L. deLyra
In the context of the complex-analytic structure within the open unit disk, that was established in a previous paper, here we establish a simple generalization of the Cauchy-Goursa…
Complex Analysis of Real Functions VI: On the Convergence of Fourier Series
Jorge L. deLyra
We define a compact version of the Hilbert transform, which we then use to write explicit expressions for the partial sums and remainders of arbitrary Fourier series. The expressio…
Fourier Theory on the Complex Plane V: Arbitrary-Parity Real Functions, Singular Generalized Functions and Locally Non-Integrable Functions
Jorge L. deLyra
A previously established correspondence between definite-parity real functions and inner analytic functions is generalized to real functions without definite parity properties. The…
Fourier Theory on the Complex Plane IV: Representability of Real Functions by their Fourier Coefficients
Jorge L. deLyra
The results presented in this paper are refinements of some results presented in a previous paper. Three such refined results are presented. The first one relaxes one of the basic…