In this work, we consider effects of the dynamical vacuum in quantum cosmology presence a minimum length introduced by GUP (generalized uncertainty principle) related to modified commutation relation $[\hat{X},\hat{P}] := \frac{i\hbar}{ 1 - \beta\hat{P}^2 }$ . We determine wave function Universe $ \psi_{qp}(\xi,t)$, which is solution Wheeler-DeWitt equation representation quasi-position space, ...

In this paper we address the questions of the convergence rate for approximate solutions to conservation laws with piecewise smooth solutions in a weighted W 1,1 space. Convergence rate for the derivative of the approximate solutions is established under the assumption that a weak pointwise-error estimate is given. In other words, we are able to convert weak pointwise-error estimates to optimal...

We deene a dyadic counterpart Q d p of Q p , and study some relations between Q p and Q d p. For example, a function on T belongs to Q p if and only if (almost) all its translates belong to Q d p. Conversely, functions in Q p may be obtained by averaging translates of functions in Q d p .

Experiments aboard the Ulysses spacecraft discovered quasi-periodic bursts of relativistic electrons and of radio emissions with ∼ 40−minute period (QP-40) from the south pole of Jupiter in February 1992. Such polar QP-40 burst activities were found to correlate well with arrivals of high-speed solar winds at Jupiter. We advance the physical scenario that the inner radiation belt (IRB) within ∼...

In the original version of the present paper submitted in 1995, we stated: "As far as we know it may be possible to prove that, if H and K are two compact Hausdorff spaces and (C(H), pointwise) and (C(K), pointwise) are both a-fragmented, then (C(HxK), pointwise) is also a-fragmented. If this is so, then the condition that for each finite subset O of F the space C(U {Kv: (pe}, pointwise) is ...

Pointwise error estimates for approximation on compact homogeneous manifolds using radial kernels are presented. For a C positive definite kernel κ the pointwise error at x for interpolation by translates of κ goes to 0 like ρ, where ρ is the density of the interpolating set on a fixed neighbourhood of x. Tangent space techniques are used to lift the problem from the manifold to Euclidean space...

1. A general criterion for pointwise Fourier inversion 2. Pointwise Fourier inversion on R n (n = 3) 3. Fourier inversion on R 2 4. Fourier inversion on R n (general n) 5. Fourier inversion on spheres 6. Fourier inversion on complex projective space, and variants 7. Fourier inversion on hyperbolic space, and variants 8. Fourier inversion on strongly scattering manifolds 9. Hermite expansions an...

In this paper we present a topology on the space of real-valued functions defined on a functionally Hausdorff space X that is finer than the topology of pointwise convergence and for which (1) the closure of the set of continuous functions C(X) is the set of upper semicontinuous functions on X , and (2) the pointwise convergence of a net in C(X) to an upper semicontinuous limit automatically en...

We develop a GL qp (2) invariant differential calculus on a two-dimensional noncommutative quantum space. Here the coordinate space for the exterior quantum plane is spanned by the differentials that are commutative (bosonic) in nature.