Sentence examples for The reproducing from inspiring English sources

The reproducing kernel functions can be represented by piecewise polynomials, and the higher the order of derivatives, the simpler the reproducing kernel function statements.

The reproducing kernel of the Fock space is calculated explicitly in terms of an I-Bessel function.

Second, we construct the reproducing kernel function.

Obviously, (R_{y}(x) ) is the reproducing kernel function of the space (W_{2}^{4,0} ).

The construction of the reproducing kernel based on the orthonormal shifted Legendre polynomials is presented.

Note the property of the reproducing kernel 〈 u, R y 〉 W 2 5 = u ( y ).

The construction of the reproducing kernel based on orthonormal shifted Legendre polynomials is presented.

We begin with a rather specific example: the reproducing formula for the Bochner Martinelli integral, see Proposition 1.

This limit is a projection on a certain subspace of the reproducing Kernel Hilbert space of a multivariate Brownian motion.

Now, let us find out the expression of the reproducing kernel function (R_{y}(x) ) in (W_{2}^{4,0} ).

And for all, the ball algebra, such that is real, the reproducing property of ( of [2]) gives.