Results 1 to 10 of about 3,545,090 (308)
On difference equation with generalized dilation [PDF]
Advances in Difference Equations, 2006 We investigate the functional equation with generalized dilation in the special weighted functional spaces. We provide some sufficient conditions for the existence of the inversion operator in the same form and consider several examples.
Plaschinsky Pavel
doaj +6 more sources
Wavelet transform of the dilation equation [PDF]
The Journal of the Australian Mathematical Society. Series B. Applied Mathematics, 1996 AbstractIn this article we study the dilation equation f(x) = ∑h ch f (2x − h) in ℒ2(R) using a wavelet approach. We see that the structure of Multiresolution Analysis adapts very well to the study of scaling functions. The equation is reduced to an equation in a subspace of ℒ2(R) of much lower resolution.
C. Cabrelli, U. Molter
semanticscholar +2 more sources
On local properties of compactly supported solutions of the two-coefficient dilation equation
International Journal of Mathematics and Mathematical Sciences, 2002 Let a and b be reals. We consider the compactly supported solutions φ:ℝ→ℝ of the two-coefficient dilation equation φ(x)=aφ(2x)+bφ(2x−1). In this paper, we determine sets Ba,b, Ca,b, and Za,b defined in the following way: let x∈[0,1].
Janusz Morawiec
doaj +2 more sources
Random variable dilation equation and multidimensional prescale functions [PDF]
Transactions of the American Mathematical Society, 2001 Summary: A random variable \(Z\) satisfying the random variable dilation equation \(MZ \overset{\text{d}}{=}Z+G\), where \(G\) is a discrete random variable independent of \(Z\) with values in a lattice \(\Gamma \subset\) \(\mathbf{R}^{d}\) and weights \(\{ c_{k}\} _{k\in \Gamma}\) and \(M\) is an expanding and \(\Gamma\)-preserving matrix, if ...
Julie Belock, V. Dobric
semanticscholar +3 more sources
The Importance of Velocity Acceleration to Flow-Mediated Dilation
International Journal of Vascular Medicine, 2012 The validity of the flow-mediated dilation test has been questioned due to the lack of normalization to the primary stimulus, shear stress. Shear stress can be calculated using Poiseuille's law.
Lee Stoner +3 more
doaj +2 more sources
Cavity expansion theory with state-dependent mohr-coulomb model and its application to cone penetration tests. [PDF]
PLoS ONEThe cone penetration test (CPT) is a fast and efficient in-situ testing technique that provides reliable and continuous measurements of soil properties. The CPT calibration chamber test is widely used to investigate soil-pile interactions. To address the
Baojian Li +5 more
doaj +2 more sources
Quantum Stochastic Positive Evolutions: Characterization, Construction, Dilation
, 2005 A characterization of the unbounded stochastic generators of quantum completely positive flows is given. This suggests the general form of quantum stochastic adapted evolutions with respect to the Wiener (diffusion), Poisson (jumps), or general Quantum ...
Belavkin, V. P.
core +2 more sources
Higher mass limits of neutron stars from the equation of states in curved spacetime [PDF]
Physical Review D, 2021 In order to solve the Tolman-Oppenheimer-Volkoff equations for neutron stars, one routinely uses the equation of states which are computed in the Minkowski spacetime.
Golam Mortuza Hossain, Susobhan Mandal
semanticscholar +1 more source
A NEW CHARACTERIZATION OF SYMMETRIC DUNKL AND \(q\)-DUNKL-CLASSICAL ORTHOGONAL POLYNOMIALS
Ural Mathematical Journal, 2023 In this paper, we consider the following \(\mathcal{L}\)-difference equation $$\Phi(x) \mathcal{L}P_{n+1}(x)=(\xi_nx+\vartheta_n)P_{n+1}(x)+\lambda_nP_{n}(x),\quad n\geq0,$$where \(\Phi\) is a monic polynomial (even), \(\deg\Phi\leq2\), \(\xi_n ...
Yahia Habbachi
doaj +1 more source
Equation of states in the curved spacetime of spherical degenerate stars [PDF]
Journal of Cosmology and Astroparticle Physics, 2020 In the study of spherical degenerate stars such as neutron stars, general relativistic effects are incorporated by using Tolman-Oppenheimer-Volkoff equations to describe their interior spacetime.
Golam Mortuza Hossain, Susobhan Mandal
semanticscholar +1 more source