Let f [member of] [C.sup.[infinity]]([R.sup.3]) have compact support
in [B.sup.3] and be even in [x.sub.3].
Let [D.sub.[omega]](R) be the set of all [phi] [member of] [L.sub.1] (R) such that [phi] has compact support
and [[parallel][phi][parallel].sup.([omega]).sub.[lambda]] < [infinity] for all [lambda] > 0.
Among the phenomena that interest us in this work is the finite speed of propagation, which means that if [[rho].sub.0] > 0 is such that supp([u.sub.0]) [subset] B([x.sub.0],[[rho].sub.0]), then supp(w(x, t)) [subset] B([x.sub.0], p(t)), for any t [member of] (0,T), where [rho](t) is a positive function which depends on [[rho].sub.0], (i.e., solutions with compact support
Let u [member of] [F.sub.r] and k [greater than or equal to] |u|, then [[chi].sub.u] - [summation over ([gamma] [member of] [Pr.sub.u](k))] [[chi].sub.[gamma]] has compact support
included in X.
In addition, it is of importance to investigate the Poisson sum formula of signals with compact support
in SAFT domain.
In this paper we study the Wasserstein distance between the distributions of the n-point motions of one-dimensional Harris flows whose covariance functions have compact support
. For convenience let us recall the definition of a Harris flow.
These functions have no compact support
. The corresponding velocity component however, decays for large time like v ~ 1/t for t [right arrow] [infinity], which makes these results physically reasonable.
Weber investigates a class of particular elements in Archimedean vector lattices that originated from and are closely related to continuous functions with compact support
on a topological non-compact Hausdorf space.
foreign policy interests, limiting the size of compacts, supporting alternate methods of compact support
such as cash transfers, establishing new or changed qualifying factors, strengthening democracy language in the qualifying factors and the role of civil society in compact development and implementation, reinforcing the anticorruption language (the pass/fail indicator is not embodied in the legislation), supporting and funding post-compact evaluations, authorizing the recent changes to the threshold program, and specifying new requirements, including possible tougher standards, for second compacts.
In the finite element method, the equations are integrated against a set of linear independent test functions with small compact support
, and the solution is considered as a linear combination of this set of test functions.
where the summation is over all the particles within the region of compact support
of the kernel function.
Dispersive nonlinear systems have received a renewal of attraction since the pioneering work by Rosenau and Hyman  introducing the concept of solitary waves with compact support