Results 31 to 40 of about 129,126 (304)
On the product formula and convolution associated with the index Whittaker transform
, 2019 We deduce a product formula for the Whittaker $W$ function whose kernel does not depend on the second parameter. Making use of this formula, we define the positivity-preserving convolution operator associated with the index Whittaker transform, which is ...
Guerra, Manuel +2 more
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Convolution products for hypercomplex Fourier transforms
, 2013 Hypercomplex Fourier transforms are increasingly used in signal processing for the analysis of higher-dimensional signals such as color images. A main stumbling block for further applications, in particular concerning filter design in the Fourier domain,
Bujack, Roxana +3 more
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Strongly mixing convolution operators on Fr\'echet spaces of holomorphic functions [PDF]
, 2014 A theorem of Godefroy and Shapiro states that non-trivial convolution operators on the space of entire functions on $\mathbb{C}^n$ are hypercyclic. Moreover, it was shown by Bonilla and Grosse-Erdmann that they have frequently hypercyclic functions of ...
Muro, Santiago +2 more
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International Journal of Mathematics and Mathematical Sciences, 1978 Recently [8], an operational calculus for the operator Bμ=t−μDt1+μD with ...
J. Conlan, E. L. Koh
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Boundary value problems for essentially-loaded parabolic equation
Қарағанды университетінің хабаршысы. Математика сериясы, 2018 In this paper we investigate the first boundary value problem for essentially loaded equation of heat conduction, i.e. when laden terms are derivatives for any finite order.
M.I. Ramazanov +4 more
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A General Geometric Fourier Transform Convolution Theorem [PDF]
Advances in Applied Clifford Algebras, 2012 The large variety of Fourier transforms in geometric algebras inspired the straight forward definition of ``A General Geometric Fourier Transform`` in Bujack et al., Proc. of ICCA9, covering most versions in the literature. We showed which constraints are additionally necessary to obtain certain features like linearity, a scaling, or a shift theorem ...
Bujack, Roxana +2 more
openaire +2 more sources
Asymptotic lower bounds in estimating jumps
, 2014 We study the problem of the efficient estimation of the jumps for stochastic processes. We assume that the stochastic jump process $(X_t)_{t\in[0,1]}$ is observed discretely, with a sampling step of size $1/n$.
Clément, Emmanuelle +2 more
core +5 more sources
Photonics of Topological Magnetic Textures
Advanced Optical Materials, EarlyView.Localized noncollinear magetic textures imprint their geometry and topology onto traversing photonic fields endowing them with orbital angular‐momentum, chirality, and magnetoelectric densities. Abstract Topological textures in magnetically ordered materials are an important case studies for fundamental research with promising applications in data ...
Vakhtang Jandieri +6 more
wiley +1 more source
CAAI Transactions on Intelligence Technology, EarlyView., 2023 Abstract Autonomous vehicles are required to operate in an uncertain environment. Recent advances in computational intelligence techniques make it possible to understand driving scenes in various environments by using a semantic segmentation neural network, which assigns a class label to each pixel.
Yining Hua +4 more
wiley +1 more source
Fractional Mixed Weighted Convolution and Its Application in Convolution Integral Equations
Journal of MathematicsThe convolution integral equations are very important in optics and signal processing domain. In this paper, fractional mixed-weighted convolution is defined based on the fractional cosine transform; the corresponding convolution theorem is achieved. The
Rongbo Wang, Qiang Feng
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