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Convolutions and Product Representations
2009The Feynman integrals in special relativistic quantum field theories involve convolutions of energy-momentum distributions. The on-shell parts for translation representations give product representation coefficients of the Poincare group, i.e., energy-momentum distributions for free states (multiparticle measures, discussed ahead).
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Wavelet Convolution Product Involving Fractional Fourier Transform
Fractional Calculus and Applied Analysis, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Upadhyay, S. K., Dubey, Jitendra Kumar
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Product-Type Estimator of Convolutions
1999An unbiased estimator of P(τ1 + … + τκ ≤ T) is suggested, where τ i , are independent random variables (r.v.) with density f i (t) and distribution function F i (t). This estimator is constructed sequentially. First, a r.v. X 1 with density f 1(x)/F 1(T) is generated. Its support is [0,T]. After observing X 1 = x 1, the second r.v.
Ilya Gertsbakh, I. Spungin
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Sharpness in Young's Inequality for Convolution Products
Canadian Journal of Mathematics, 1994AbstractSuppose that Gis a locally compact group with modular function Δ and that p, q, r are three numbers in the interval (l,∞) satisfying. If cp,q(G) is the smallest constant c such thatfor all functions f, g ∈ Cc(G) (here the convolution product is with respect to left Haar measure andis the exponent which is conjugate to p) then Young's inequality
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Infinite Product Measures and Infinite Convolutions
American Journal of Mathematics, 1940openaire +2 more sources
Convolution product and formula accuracy
European Journal of Nuclear Medicine, 1997openaire +1 more source