Add to ORKGWe study certain infinite-dimensional probability measures in connection with frame analysis. Earlier work on frame-measures has so far focused on the case of finite-dimensional frames. We point out that there are good reasons for a sharp distinction between stochastic analysis involving frames in finite vs. infinite dimensions. For the case of infinite-dimensional Hilbert space ℋ, we study three cases of measures. We first show that, for ℋ infinite dimensional, one must resort to infinite dimensional measure spaces which properly contain ℋ. The three cases we consider are: (i) Gaussian frame measures, (ii) Markov path-space measures, and (iii) determinantal measures
Motivated by the existence problem of Fourier frames on fractal measures, we introduce Bessel and fr...
Motivated by the existence problem of Fourier frames on fractal measures, we introduce Bessel and fr...
A J-frame for a Krein space H is in particular a frame for H (in the Hilbert space sense). But it is...
The goal of this paper will be to study how frame theory is applied within the field of signal proce...
In applied linear algebra, the term frame is used to refer to a redundant or linearly dependent coor...
For every frame spectral measure $ \mu $, there exists a discrete measure $ \nu $ as a frame measure...
For every frame spectral measure $ \mu $, there exists a discrete measure $ \nu $ as a frame measure...
For every frame spectral measure $ \mu $, there exists a discrete measure $ \nu $ as a frame measure...
Bayesian filtering methods are widely used in many applications, one such example being the problem ...
Recently, a sampling theory for infinite dimensional U-invariant subspaces of a separable Hilbert sp...
The relevance in a sampling theory of U-invariant subspaces of a Hilbert space H, where U denotes a ...
The relevance in a sampling theory of U-invariant subspaces of a Hilbert space H, where U denotes a ...
The relevance in a sampling theory of U-invariant subspaces of a Hilbert space H, where U denotes a ...
In this note, we overview the basic theory of frame analysis in Hilbert spaces. We also introduce so...
Motivated by the existence problem of Fourier frames on fractal measures, we introduce Bessel and fr...
Motivated by the existence problem of Fourier frames on fractal measures, we introduce Bessel and fr...
Motivated by the existence problem of Fourier frames on fractal measures, we introduce Bessel and fr...
A J-frame for a Krein space H is in particular a frame for H (in the Hilbert space sense). But it is...
The goal of this paper will be to study how frame theory is applied within the field of signal proce...
In applied linear algebra, the term frame is used to refer to a redundant or linearly dependent coor...
For every frame spectral measure $ \mu $, there exists a discrete measure $ \nu $ as a frame measure...
For every frame spectral measure $ \mu $, there exists a discrete measure $ \nu $ as a frame measure...
For every frame spectral measure $ \mu $, there exists a discrete measure $ \nu $ as a frame measure...
Bayesian filtering methods are widely used in many applications, one such example being the problem ...
Recently, a sampling theory for infinite dimensional U-invariant subspaces of a separable Hilbert sp...
The relevance in a sampling theory of U-invariant subspaces of a Hilbert space H, where U denotes a ...
The relevance in a sampling theory of U-invariant subspaces of a Hilbert space H, where U denotes a ...
The relevance in a sampling theory of U-invariant subspaces of a Hilbert space H, where U denotes a ...
In this note, we overview the basic theory of frame analysis in Hilbert spaces. We also introduce so...
Motivated by the existence problem of Fourier frames on fractal measures, we introduce Bessel and fr...
Motivated by the existence problem of Fourier frames on fractal measures, we introduce Bessel and fr...
Motivated by the existence problem of Fourier frames on fractal measures, we introduce Bessel and fr...
A J-frame for a Krein space H is in particular a frame for H (in the Hilbert space sense). But it is...