Convolution, Product and Correlation Theorems for Simplified Fractional Fourier Transform: A Mathematical Investigation [PDF]
Sanjay Kumar
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In the present paper we give a fractional generalization of the Lauwerier formulation of the boundary value problem of the temperature field in oil strata.
Mridula Garg
doaj
Theoretical framework for soft X‐ray Fourier transform spectroscopy using the Wigner function
A theoretical framework for the propagation of partially coherent Gaussian radiation in a modified Mach–Zehnder interferometer designed for Fourier transform spectroscopy applications is presented.This work presents a theoretical framework for the propagation of partially coherent Gaussian radiation in a modified Mach–Zehnder interferometer designed ...
Chuzida Chen +6 more
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Exploring oxide quasicrystals in internal space
The internal space expansion with variable system size is investigated for three different oxide quasicrystal systems. Patches of 7800, 4800 and 3600 vertices are examined in Ba–Ti–O/Pt(111), Eu–Ti–O/Pd(111) and Sr–Ti–O/Pd(111), respectively. This internal space inspection provides unique structural information for quasicrystalline systems, which goes ...
Sebastian Schenk +3 more
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EXACT ASYMPTOTIC BEHAVIOUR IN A RENEWAL THEOREM FOR CONVOLUTION EQUIVALENT DISTRIBUTIONS WITH EXPONENTIAL TAILS* [PDF]
М. С. Сгибнев
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Fading memory and the convolution theorem
Several topological and analytical notions of continuity and fading memory for causal and time-invariant filters are introduced, and the relations between them are analyzed. A significant generalization of the convolution theorem that establishes the equivalence between the fading memory property and the availability of convolution representations of ...
Ortega, Juan-Pablo, Rossmannek, Florian
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Why Is Exclusivity in Broadcasting Rights Prevalent and Why Does Simple Regulation Fail?
ABSTRACT Pay‐TV firms compete both downstream to attract viewers and upstream to acquire broadcasting rights. Because profits inherited from downstream competition satisfy a convexity property, allocating rights to the dominant firm maximizes the industry profit.
David Martimort, Jerome Pouyet
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An isometry theorem induced by the Radon transform between the convolution and interleaving distances [PDF]
Michiaki Takiwaki
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A local limit theorem for the convolution of probability measures on a compact connected group [PDF]
Péter Major, Senya Shlosman
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An extension of Suffridge's convolution theorem
The author gives the following definitions: (i) For \(\lambda\in[0,\frac{2\pi}{n}]\), let \(\mathcal{P}_n(\lambda)\) denote the set of polynomials \(P\) of degree \(n\) that have all their zeros on the unit circle and such that each pair of zeros is separated by an angle of at least \(\lambda\).
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