نتایج جستجو برای: orthonormal

تعداد نتایج: 3070  

Journal: :Applied Mathematics and Computation 2011
Neyla Ajmi Abdellatif Jouini Pierre Gilles Lemarié Rieusset

In the present paper we find new constructions of orthonormal multiresolution analyses on the triangle ∆. In the first one, we describe a direct method to define an orthonormal multiresolution analysis R which is adapted for the study of the Sobolev spaces H 0(∆) (s ∈ N). In the second one, we add boundary conditions for constructing an orthonormal multiresolution analysis which is adapted for ...

2007
QIYU SUN

We prove that any Parseval wavelet frame is the projection of an orthonormal wavelet basis for a representation of the Baumslag-Solitar group BS(1, 2) = 〈u, t | utu = t〉. We give a precise description of this representation in some special cases, and show that for wavelet sets, it is related to symbolic dynamics (Theorem 3.14). We show that the structure of the representation depends on the ana...

2004
Manu Mathur S. N. Bose

We solve the Gauss law of SU(2) lattice gauge theory using the harmonic oscillator prepotential formulation. We construct a generating function of a manifestly gauge invariant and orthonormal basis in the physical Hilbert space of (d+1) dimensional SU(2) lattice gauge theory. The resulting orthonormal physical states are given in closed form. The generalization to SU(N) gauge group is discussed.

2003
Katsunori Kawamura Osamu Suzuki

A systematic construction method of orthonormal basis on self-similar sets is given by the use of representations of the Cuntz algebras. We introduce two kinds of orthonormal basis of self-similar sets including explicit description for the Cantor set, the Sierpiński gasket and the Sierpiński carpet.

Journal: :Journal of Approximation Theory 2008

Journal: :Applied and Computational Harmonic Analysis 2020

Journal: :Proceedings of the American Mathematical Society 2005

Journal: :Proceedings of the American Mathematical Society 2005

Journal: :Journal of Differential Geometry 1968

Journal: :Duke Mathematical Journal 1961

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