# convolution

(redirected from Convolution operator)
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Related to Convolution operator: convolving, convolution integral
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## Synonyms for convolution

### the action of coiling or twisting or winding together

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References in periodicals archive ?
Additionally, the derivative of the convolution operator with respect to t is given by
In the next theorem, we characterize all finite codimensional invariant subspaces of a cyclic convolution operator on [H.
This would correspond in the case of a convolution operator to bounding the [L.
It is well known that in infinite dimensional analysis the convolution operator on a general function space F is defined as a continuous operator which commutes with the translation operator, see [6].
Geometric Function Theory also contains systematic investigations of various analytic function classes associated with a further generalization of the Dziok-Srivastava convolution operator, which is popularly known as the Wright-Srivastava convolution operator defined by using the Fox-Wright generalized hypergeometric function (see, for details, [9] and [20]; see also [23] and the references cited in each of these recent works including [9] and [20]).
R], then we can define in an analogous way the left convolution operator of quaternion variable by taking [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] instead of f ([MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII]) in the integrals (2.
The main technique we use is the representation of the Gross Laplacian as a convolution operator.
Consider the convolution operator by taking the convolution between functions f (z) of the form (1.
In this case, a convolution equation is an equation of the form Of = g where O is a convolution operator on H([C.
Other topics include Schauder bases for null spaces of convolution operators, homomorphisms between spaces of Lipschitz functions, non-complex analogs of uniform algebras, and the Lagrange multivariate interpolation problem.
Among the 12 topics are Vyacheslav Zakharyuta's complex analysis, convolution operators on quasi-analytic classes of Roumieu type, connectedness in the pluri-fine topology, the analyticity and propagation of pluri-sub-harmonic singularities, and invertibility for Frechet valued real analytic functions.
In many cases of image processing the use of simple edge detection techniques such as high-pass filters or Sobel, Roberts or Prewitt gradient convolution operators and some postprocessing is sufficient (Hampton et al.
We characterize inner amenable groups by introducing the so-called conjugate convolution operators which develop the techniques of the usual convolution operators.
are kernels of convolution operators that act as generalized complex order integration/derivation operators for the whole line R.
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