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A device-invariant multi-modal learning framework for respiratory disease classification. [PDF]

NPJ Digit Med
Yang M, Liu X, Du W, Liu Y, Zhu W, Bu Z, Mao J, Wang Q, Chen S, Zhou M, Qu JM.   +10 more
europepmc   +1 more source

Dynamic Modelling and Control Strategy Analysis of a Lower-Limb Exoskeleton. [PDF]

Sensors (Basel)
Xiao H, Ran T, Jin A.
europepmc   +1 more source

Polyaspartic Acid-Calcium-Lanthanum Complexes Induce Antibacterial Remineralization of Dentin and In-Depth Occlusion of Dentinal Tubules. [PDF]

Adv Sci (Weinh)
Zhu L, Liu W, Zhang Y, Wu Z, Wang Y, Xu Y, Zheng H, Zhang H, Yu M, Jin X, Wang Z, Zhou Z, Fu B.   +12 more
europepmc   +1 more source

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On Linear Dependence Relations for Integer Translates of Compactly Supported Distributions

Mathematische Nachrichten, 1991
AbstractA necessary and sufficient condition for the dimension of the space of dependence relations for (multi‐) integer translates of an arbitrary compactly supported distribution in terms of zeros of its Fourier transform is given. We apply this result to obtain necessary and sufficient conditions on an integer matrix X so that the space of ...
Dahmen, Wolfgang, Jia, Rongqing, Micchelli, Charles A.   +2 more
exaly   +3 more sources

Compactly supported frames for spaces of distributions associated with nonnegative self-adjoint operators

Studia Mathematica, 2014
The paper deals with the construction of frames for the space of distributions. The authors construct frames with compactly supported elements of small shrinking support for Besov and Triebel-Lizorkin spaces in the general setting of a doubling metric measure space in the presence of a non negative self adjoint operator whose heat kernel has Gaussian ...
Pencho Petrushev
exaly   +4 more sources

Compactly Supported Distributions on $$p$$-Adic Lie Groups

P-Adic Numbers, Ultrametric Analysis, and Applications
In this article, the authors define the Iwasawa algebra \(K[[G]]\) for a \(p\)-adic field \(K\) and a \(p\)-adic Lie group \(G\), which is isomorphic to the convolution algebra of compactly supported distributions on \(G\) as topological algebras.
Ban, Dubravka, Roberts, Jeremiah
exaly   +3 more sources

A necessary and sufficient condition for the linear independence of the integer translates of a compactly supported distribution

Constructive Approximation, 1989
Given a multivariate compactly supported distribution \(\phi\), we derive here a necessary and sufficient condition for the global linear independence of its integer translates. This condition is based on the location of the zeros of \({\hat \phi}=the\) Fourier-Laplace transform of \(\phi\).
Amos Ron
exaly   +2 more sources

Linear independence of the integer translates of compactly supported distributions and refinable vectors

Applied Mathematics, 2001
Both compactly supported distributions and refinable function vectors are important for the approximation by multivariate splines and especially wavelets. In this context, the global and local linear independence are relevant because they are related to the numerical computation of the approximations and sometimes also to the mathematical construction ...
exaly   +3 more sources

“Compactly” supported frames for spaces of distributions on the ball

Monatshefte für Mathematik, 2011
The authors study the problem of the construction of multiscale frames on the unit ball \(B^d\) in \(\mathbb R^d\) consisting of the \(C^{\infty}\) functions with small supports which shrink at higher scales. The construction relies on a general scheme for construction of frames from [the authors, J. Funct. Anal. 257, No.
Kyriazis, George C., Petrushev, P., Kyriazis, George C., Petrushev, P.   +3 more
openaire   +3 more sources