Constructing strong ℓ -ifications from dual minimal bases
نویسندگان
چکیده
منابع مشابه
A characterization of L-dual frames and L-dual Riesz bases
This paper is an investigation of $L$-dual frames with respect to a function-valued inner product, the so called $L$-bracket product on $L^{2}(G)$, where G is a locally compact abelian group with a uniform lattice $L$. We show that several well known theorems for dual frames and dual Riesz bases in a Hilbert space remain valid for $L$-dual frames and $L$-dual Riesz bases in $L^{2}(G)$.
متن کاملQualified ifications
We consider the problem of ramifications, i.e., indirect effects of actions, having exceptions. It is argued that straightforward minimization of abnormality is insufficient in this context. Taking a recent causality-based solution to the plain Ramification Problem as starting point, we develop an action theory that is shown to successfully address this amalgamation of Ramification and Qualific...
متن کاملConstructing Pairs of Dual Bandlimited Frame Wavelets in L(r)
Given a real, expansive dilation matrix we prove that any bandlimited function ψ ∈ L(R), for which the dilations of its Fourier transform form a partition of unity, generates a wavelet frame for certain translation lattices. Moreover, there exists a dual wavelet frame generated by a finite linear combination of dilations of ψ with explicitly given coefficients. The result allows a simple constr...
متن کاملa characterization of l-dual frames and l-dual riesz bases
this paper is an investigation of $l$-dual frames with respect to a function-valued inner product, the so called $l$-bracket product on $l^{2}(g)$, where g is a locally compact abelian group with a uniform lattice $l$. we show that several well known theorems for dual frames and dual riesz bases in a hilbert space remain valid for $l$-dual frames and $l$-dual riesz bases in $l^{2}(g)$.
متن کاملConstructing interference-minimal networks
We consider the problem of producing interferenceminimal graphs with additional properties such as connectivity, bounded stretch factor or bounded link diameter. We compute exact interference-minimal graphs and estimated interference-minimal graphs. The latter can be computed faster.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 2016
ISSN: 0024-3795
DOI: 10.1016/j.laa.2016.01.034