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Fourier Transform of the Orthogonal Polynomials on the Unit Ball and Continuous Hahn Polynomials
Axioms, 2022 Some systems of univariate orthogonal polynomials can be mapped into other families by the Fourier transform. The most-studied example is related to the Hermite functions, which are eigenfunctions of the Fourier transform.
Esra Güldoğan Lekesiz +2 more
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Theoretical enhancement of the Gaussian filtering of engineering surfaces [PDF]
, 2013 This study is an extension of the current use of Gaussian filters to smooth surface texture waveforms. It suggests an extension using Hermite polynomials to improve the definition of boundary lines and edges in the geometry of structured surfaces, and to
Whitehouse, D. J. (David J.)
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Generalised Hermite–Gaussian beams and mode transformations [PDF]
Journal of Optics, 2016 Generalised Hermite-Gaussian modes (gHG modes), an extended notion of Hermite-Gaussian modes (HG modes), are formed by the summation of normal HG modes with a characteristic function $α$, which can be used to unite conventional HG modes and Laguerre-Gaussian modes (LG modes).
Wang, Yi +4 more
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Compressive Sensing Approach in the Hermite Transform Domain [PDF]
Mathematical Problems in Engineering, 2015 Compressive sensing has attracted significant interest of researchers providing an alternative way to sample and reconstruct the signals. This approach allows us to recover the entire signal from just a small set of random samples, whenever the signal is sparse in certain transform domain.
Stanković, Srdjan +2 more
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Applied Sciences, 2020 The monitoring of respiratory rate is a relevant factor in medical applications and day-to-day activities. Contact sensors have been used mostly as a direct solution and they have shown their effectiveness, but with some disadvantages for example in ...
Jorge Brieva +2 more
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The generalized clifford-hermite continuous wavelet transform [PDF]
Advances in Applied Clifford Algebras, 2001 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Brackx, Fred, Sommen, Franciscus
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Transformation of a Hermite-Gaussian beam by an Airy transform optical system
Optics Express, 2020 Analytical expression of the Airy transform of an arbitrary Hermite-Gaussian beam is derived. The optical field in the x-direction of the Airy transform of Hermite-Gaussian beams with transverse mode number m is the sum of the zero-order derivative to mth-order derivative of the Airy function with different weight coefficients.
Guoquan, Zhou +3 more
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Hilbert Transforms Associated with Dunkl-Hermite Polynomials [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2009 We consider expansions of functions in $L^{p}(\mathbb{R},|x|^{2k}dx)$, $1\leq ...
Ben Salem, Nejib, Samaali, Taha
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MULTIPLIERS OF LAPLACE TRANSFORM TYPE FOR LAGUERRE AND HERMITE EXPANSIONS [PDF]
, 2011 We present a new criterion for the weighted Lp-Lq boundedness of multiplier operators for Laguerre and Hermite expansions that arise from a Laplace–Stieltjes transform.
Drelichman, Irene +5 more
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Test for Linearity in Non-Parametric Regression Models
Austrian Journal of Statistics, 2022 The problem of checking the linearity of a regression relationship is addressed. The test uses nonparametric estimation techniques. The null hypothesis is that the regression function is linear; it is tested against the non-specic alternatives hypotheses.
Khedidja Djaballah-Djeddour +1 more
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