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A caveat about applications of the unilateral Fourier transform
(Sociedade Brasileira de Física, 2020-07-17)
It is presented a warning about the erroneous use of unilateral Fourier transform with nonhomogeneous Dirichlet or Neumann boundary conditions in a well-known textbook on integral transforms, and also in a few papers ...
De Fourier a wavelets : un breve recorrido por el análisis tiempo-frecuencia
(2020)
Un pequeño tour por el análisis de Fourier. Definimos a la transformada continua de Fourier, presentamos y estudiamos los resultados principales de la serie de Fourier y de la transformada de Fourier discreta. Analizamos ...
Revisiting the quantum harmonic oscillator via unilateral Fourier transforms
(2015-11-09)
The literature on the exponential Fourier approach to the one-dimensional quantum harmonic oscillator problem is revised and criticized. It is shown that the solution of this problem has been built on faulty premises. The ...
Reconstruction of a compactly supported function from the discrete sampling of its Fourier transform
(Ieee-inst Electrical Electronics Engineers IncPiscatawayEUA, 1999)
Application of block matrix theory to obtain the inverse transform of the vector-valued DFT
(Hikari Ltd., 2015)
We study the vector-valued discrete Fourier transform (vector-valued DFT) and its inverse transform, the vector-valued DFT inversion, through its block matrix representation. These transforms are defined for N- periodic ...
Automatic identification of diatoms using descriptors obtained in the plane of frequencies
(2018-09)
Diatoms are unicellular algae that have as characteristic to be composed mainly of silice. Currently, its study has become relevant due to its multiple applications that include forensic medicine, palaeoenvironmental ...
Approximating functions from sampled Fourier data using spline pseudofilters
(Ieee-inst Electrical Electronics Engineers IncPiscatawayEUA, 2008)