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may 4
Fibonacci manifolds have a hyperbolic structure which may be defined via Fibonacci numbers.
      
This paper studies intersection theory on the compactified moduli space ${\mbox{$\cal M$}} (n,d)$ of holomorphic bundles of rank n and degree d over a fixed compact Riemann surface $\Sigma$ of genus $g \geq 2$ where n and d may have common factors.
      
When a function does not belong to such a space, the sampling series may converge, not to the object function but to an "alias" of it, and an aliasing error is said to occur.
      
Although the MSF wavelets we consider are bandlimited, this may not be true for their smooth approximations.
      
Although the MSF wavelets we consider are bandlimited, this may not be true for their smooth approximations.
      
We show that in this case any frame is a Riesz basis and our characterization of Riesz bases may be considered as a generalization of the theorems established by Coifman, et al.
      
The basic technique uses factorization of group elements and Gel'fand-Tsetlin bases to simplify the computations, and may be extended to treat the computation of Fourier transforms of finitely supported distributions on the group.
      
Similar transforms may be defined on homogeneous spaces; in that case we show how special function properties of spherical functions lead to more efficient algorithms.
      
These results may all be viewed as generalizations of the fast Fourier transform algorithms on the circle, and of recent results about Fourier transforms on finite groups.
      
This work is motivated from and useful in object-based video coding, where a segmented moving object may have arbitrary shape and block transform coding of this object is needed.
      
It is shown that for certain totally disconnected fractals, function spaces may be characterized by means of the magnitude of the wavelet coefficients of the functions.
      
We show that several such actions may be considered, and investigate those which may be written as deformations of the canonical one.
      
We show that any tempered distribution on the n-fold metaplectic covers of SL(2, F) or of GL(r, F) (satisfying the assumptions of Section 1.1 below) may be expressed as a distributional integral over the tempered dual.
      
Let T be a Calderón-Zygmund operator in a "non-homogeneous" space (, d, μ), where, in particular, the measure μ may be non-doubling.
      
may be expressed simply with the help of higher degree Poisson wavelets.
      
Deviations from both statistical isotropy and Gaussianity are detected in the reviewed works, suggesting more exotic cosmological models may be required to explain our Universe.
      
In this article, the MCA algorithm is extended to the analysis of spherical data maps as may occur in a number of areas such as geophysics, astrophysics or medical imaging.
      
Polyamines May Modulate Both G Protein-Coupled Receptors and G Proteins
      
These studies may be useful in designing molecules with better cyclooxygenase-2 inhibitory activity.
      
This suggests that the rapid initial reduction in percent parasitemia may be due to α- isomer and the activity is maintained by the β- isomer.
      
 

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