نتایج جستجو برای: singleton g orthonormal basis
تعداد نتایج: 813402 فیلتر نتایج به سال:
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.
Today, companies need to make use of appropriate patterns such as supply chain management system to gain and preserve a position in competitive world-wide market. Supply chain is a large scaled network consists of suppliers, manufacturers, warehouses, retailers and final customers which are in coordination with each other in order to transform products from raw materials into finished goods wit...
Let the Sobolev-type inner product f, g = R f gdµ 0 + R f ′ g ′ dµ 1 with µ 0 = w + M δ c , µ 1 = N δ c where w is the Jacobi weight, c is either 1 or −1 and M, N ≥ 0. We obtain estimates and asymptotic properties on [−1, 1] for the polynomials orthonormal with respect to .,. and their kernels. We also compare these polynomials with Jacobi orthonormal polynomials.
We show asymptotic expansions of the eigenfunctions certain perturbations Jacobi operator in a bounded interval, deducing equiconvergence results between with respect to associated orthonormal basis and cosine basis. Several for pointwise convergence then follow.
Given a real-analytic manifold M , a compact connected Lie group G and a principal G-bundle P → M , there is a canonical ‘generalized measure’ on the space A/G of smooth connections on P modulo gauge transformations. This allows one to define a Hilbert space L2(A/G). Here we construct a set of vectors spanning L2(A/G). These vectors are described in terms of ‘spin networks’: graphs φ embedded i...
We construct a uniformly bounded orthonormal almost greedy basis for L p ([0, 1]), 1 < p < ∞. The example shows that it is not possible to extend Orlicz's theorem, stating that there are no uniformly bounded orthonormal unconditional bases for L p ([0, 1]), p = 2, to the class of almost greedy bases.
The orthonormal basis generated by a wavelet of L 2 (R) has poor frequency localization. To overcome this disadvantage Coifman, Meyer, and Wickerhauser constructed wavelet packets. We extend this concept to the higher dimensions where we consider arbitrary dilation matrices. The resulting basis of L 2 (R d) is called the multiwavelet packet basis. The concept of wavelet frame packet is also gen...
A 3-graph is a connected cubic graph such that each vertex is is equipped with a cyclic order of the edges incident with it. A weight system is a function f on the collection of 3-graphs which is antisymmetric: f(H) = −f(G) if H arises from G by reversing the orientation at one of its vertices, and satisfies the IHX-equation. Key instances of weight systems are the functions φg obtained from a ...
We use the matrix-valued Fejér–Riesz lemma for Laurent polynomials to characterize when a univariate shift-invariant space has a local orthonormal shift-invariant basis, and we apply the above characterization to study local dual frame generators, local orthonormal bases of wavelet spaces, and MRA-based affine frames. Also we provide a proof of the matrixvalued Fejér–Riesz lemma for Laurent pol...
We use a multiscale natural pixel type representation of an object, originally developed for incomplete data problems, to construct nearly orthonormal basis functions. The coefficients of expansion of an object in these basis functions are obtained as the 1-D wavelet transform of the (strip integral) projections of the object. This enables us to formulate a multiscale tomographic reconstruction...
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