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In this paper, we propose a spectral-spatial feature extraction framework based on deep learning (DL) for hyperspectral image (HSI) classification. In this framework, the variational autoencoder (VAE)...
Convolution powers of complex functions on Z     Convolution  complex  function       font style='font-size:12px;'> 2015/7/7
Convolution powers of complex functions on Z。
In the present paper the smoothness loss of an extension of solutions to convolution equations is studied. Also examples for some kinds of convolvers are given.
We present new algorithms for exact multilinear k-monomial counting which is to compute the sum of coefficients of all degree-k multilinear monomials in a given polynomial P over a ring R described by...
Measurable centres in convolution semigroups     convolution semigroups  Functional Analysis       font style='font-size:12px;'> 2011/9/15
Abstract: In a convolution semigroup over a locally compact group, measurability of the translation by a fixed element implies continuity. In other words, the measurable centre coincides with the topo...
Abstract: We consider the framework of an operator-valued noncommutative probability space over a unital C*-algebra B. We show how for a B-valued distribution \mu one can define convolution powers wit...
Abstract: Given a locally compact quantum group $\G$, we study the question of when completely bounded homomorphisms $\pi:L^1(\mathbb G)\rightarrow\mathcal B(H)$ are similar to *-homomorphisms. By ana...
Let d ≥ 2 and T be the convolution operator T f(x) = R Rd−1 f(x′ − t, xd − |t|2) dt, which is is bounded from L(d+1)/d(Rd) to Ld+1(Rd). We show that any critical point f ∈ L(d+1)/d o...
Motivated by the uniqueness problem for monostable semi-wavefronts, we propose a revised version of the Diekmann and Kaper theory of a nonlinear convolution equation. Our version of the Diekmann-Kape...
This paper considers convolution equations that arise from problems such as deconvolution and non-parametric regression with errors in variables. The equations are examined in spaces of generalized fu...
We show that the evaluation of an integral considered by Boros and Moll is a special case of a convolution result about Student t-densities obtained by the authors in 2008.
The final copy of this thesis has been examined by the signatories, and we find that both the content and the form meet acceptable presentation standards of scholarly work in the above mentioned disci...
The Pseudo-Differential Operator (p.d.o.) hμ,a associated with the Bessel Operator involving the symbol a(x, y) whose derivatives satisfy certain growth conditions depending on some increasing sequenc...
Inspired by Rearick (1968), we introduce two new operators, LOG and EXP.The LOG operates on generalized Fibonacci polynomials giving generalized Lucas polynomials.The EXP is the inverse of LOG.
We use the familiar convolution structure of analytic functions to introduce new class of analytic functions of complex order. The results investigated in the present paper include, the characterizati...

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