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Monogenic Wavelets Over the Unit Ball

Zeitschrift für Analysis und ihre Anwendungen, 2005
In this article we de ne a monogenic wavelet transform for quaternion valued functions on the unit ball B in R3 based on representations of the group of Mobius transformations which maps the unit ball onto itself.
Paula Cerejeiras   +2 more
openaire   +1 more source

Rotating the unit ball of ℓn1

Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, 1998
Abstract The convex bodies generated by the union of the unit ball of l n 1 and one rotation of this ball are studied. It is shown that the Banach-Mazur distance between such bodies and the basis constant, admit a sharp lower estimate, when rotations are chosen at random.
Piotr Mankiewicz   +1 more
openaire   +1 more source

On Packings of Congruent Balls in the Unit Ball

1987
Let (X, ) be an infinite-dimensional real or complex inner product space. If I ≠O, r ∈ IR+: = (0,∞), uj ∈ X (for all j ∈ I), uj ≠ uk for j ≠ k, then the family (Br(uj): j ∈I) of open r-balls with centers uj is said to be packable ...
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On capacitated covering with unit balls

International Journal of Computer Mathematics, 2014
In this paper, we consider the problem of capacitated covering with unit balls. In this problem, a set of weighted points in a metric space is given, and we want to cover them with a minimum number of the unit balls of that metric space provided that the total weight assigned to each unit ball is at most one.
Taha Ghasemi, Mohammadreza Razzazi
openaire   +1 more source

Harmonic Analysis on the Unit Ball

2013
Unlike the unit sphere, the unit ball is a domain that has a boundary. The boundary usually makes analysis on the domain more difficult. It turns out, however, that analysis on the unit ball is closely related to analysis on the unit sphere. Indeed, a large portion of harmonic analysis on the unit ball can be deduced from its counterparts on the sphere.
Feng Dai, Yuan Xu
openaire   +1 more source

The United States: Booting the Ball?

1996
By 1970, the US financial system was already reacting to the initial shocks of globalization. London’s expanding eurodollar markets became an alternative to US domestic financial markets for large corporations as interest rates rose with the inflation sparked by the Viet Nam War. The tightly segmented US financial services sector operated under various
openaire   +1 more source

Multi local invariants on real unit balls

1999
The author considers invariants for the real Möbius transformations acting on the real hyperbolic unit ball \(\mathbb R^n\). He also constructs multilocal invariants at several distinct points in the interior and/or at the boundary. In the first place there is a detailed study of invariant functions and vector fields at various orders (zero, first and ...
openaire   +2 more sources

Riemann–Stieltjes-type integral operators on the unit ball in

Complex Variables and Elliptic Equations, 2007
Songxiao Li, Stevo Stević
exaly  

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