Examiner Univ.-Prof. Dr.-Ing. Dr.rer.nat. Holger Boche Contents 1. Sampling and interpolation problem 7 2. Bases and frames 1
Let G be a locally compact abelian group whose dual group Gˆ is compactly generated. If G admits a q...
This thesis is concerned with the problem of irregular sampling with derivatives. In one dimension, ...
AbstractWe introduce a sampling theory for cyclic lattice invariant spaces in the context of locally...
summary:Using the techniques of approximation and factorization of convolution operators we study th...
Abstract. We consider frames arising from the action of a unitary represen-tation of a discrete coun...
Graduation date: 2000Sampling theorems provide exact interpolation formulas for bandlimited\ud funct...
AbstractBand-limited functions f can be recovered from their sampling values (f(xi)) by means of ite...
In this article, we obtain families of frames for the space B (omega) of functions with band in [-om...
We present a general approach to derive sampling theorems on locally compact groups from oscillation...
Let H be a Hilbert space of finite dimension d, such as the finite signals Cd or a space of multivar...
AbstractAn abstract form of the classical approximate sampling theorem is proved for functions on a ...
AbstractWe derive necessary conditions for sampling and interpolation of bandlimited functions on a ...
Abstract. We derive necessary conditions for sampling and interpolation of bandlimited functions on ...
Let Y={f(i),Af(i),…,Ali f(i):i∈Ω}, where A is a bounded operator on ℓ2(I). The problem under conside...
operator on `2(I). The problem under consideration is to find necessary and sufficient conditions on...
Let G be a locally compact abelian group whose dual group Gˆ is compactly generated. If G admits a q...
This thesis is concerned with the problem of irregular sampling with derivatives. In one dimension, ...
AbstractWe introduce a sampling theory for cyclic lattice invariant spaces in the context of locally...
summary:Using the techniques of approximation and factorization of convolution operators we study th...
Abstract. We consider frames arising from the action of a unitary represen-tation of a discrete coun...
Graduation date: 2000Sampling theorems provide exact interpolation formulas for bandlimited\ud funct...
AbstractBand-limited functions f can be recovered from their sampling values (f(xi)) by means of ite...
In this article, we obtain families of frames for the space B (omega) of functions with band in [-om...
We present a general approach to derive sampling theorems on locally compact groups from oscillation...
Let H be a Hilbert space of finite dimension d, such as the finite signals Cd or a space of multivar...
AbstractAn abstract form of the classical approximate sampling theorem is proved for functions on a ...
AbstractWe derive necessary conditions for sampling and interpolation of bandlimited functions on a ...
Abstract. We derive necessary conditions for sampling and interpolation of bandlimited functions on ...
Let Y={f(i),Af(i),…,Ali f(i):i∈Ω}, where A is a bounded operator on ℓ2(I). The problem under conside...
operator on `2(I). The problem under consideration is to find necessary and sufficient conditions on...
Let G be a locally compact abelian group whose dual group Gˆ is compactly generated. If G admits a q...
This thesis is concerned with the problem of irregular sampling with derivatives. In one dimension, ...
AbstractWe introduce a sampling theory for cyclic lattice invariant spaces in the context of locally...