Operator Representations of Sequences and Dynamical Sampling
نویسندگان
چکیده
منابع مشابه
compactifications and representations of transformation semigroups
this thesis deals essentially (but not from all aspects) with the extension of the notion of semigroup compactification and the construction of a general theory of semitopological nonaffine (affine) transformation semigroup compactifications. it determines those compactification which are universal with respect to some algebric or topological properties. as an application of the theory, it is i...
15 صفحه اولEntropy operator for continuous dynamical systems of finite topological entropy
In this paper we introduce the concept of entropy operator for continuous systems of finite topological entropy. It is shown that it generates the Kolmogorov entropy as a special case. If $phi$ is invertible then the entropy operator is bounded with the topological entropy of $phi$ as its norm.
متن کاملOperator Identification and Sampling
Time–invariant communication channels are usually modelled as convolution with a fixed impulse–response function. As the name suggests, such a channel is completely determined by its action on a unit impulse. Time–varying communication channels are modelled as pseudodifferential operators or superpositions of time and frequency shifts. The function or distribution weighting those time and frequ...
متن کاملDynamical Systems and Operator Algebras
We study the algebraic consequences of the traditional descriptions of dynamics based on differential equations. We thus show how C* -dynamical systems consisting of an action of a locally compact group on a C*-algebra provide a common framework for studying the time evolution and symmetry groups of systems in classical and quantum physics. AMS subject classifications. 46L55, 20C35, 81Pl0. One ...
متن کاملentropy operator for continuous dynamical systems of finite topological entropy
in this paper we introduce the concept of entropy operator for continuous systems of finite topological entropy. it is shown that it generates the kolmogorov entropy as a special case. if $phi$ is invertible then the entropy operator is bounded with the topological entropy of $phi$ as its norm.
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: Sampling Theory, Signal Processing, and Data Analysis
سال: 2018
ISSN: 2730-5716,2730-5724
DOI: 10.1007/bf03549611