منابع مشابه
Finite-type-Dyck shift spaces
We study some basic properties of sofic-Dyck shifts and finite-type-Dyck shifts. We prove that the class of sofic-Dyck shifts is stable under proper conjugacies. We prove a Decomposition Theorem of a proper conjugacy between edge-Dyck shifts into a sequence of Dyck splittings and amalgamations.
متن کاملOn the Zeta Function of a Periodic-Finite-Type Shift
Periodic-finite-type shifts (PFT’s) are sofic shifts which forbid the appearance of finitely many pre-specified words in a periodic manner. The class of PFT’s strictly includes the class of shifts of finite type (SFT’s). The zeta function of a PFT is a generating function for the number of periodic sequences in the shift. For a general sofic shift, there exists a formula, attributed to Manning ...
متن کاملPeriodic nonuniform sampling in shift-invariant spaces
This paper reviews several ideas that grew out of observations of Djokovic and Vaidyanathan to the effect that a generalized sampling method for bandlimited functions, due to Papoulis, could be carried over in many cases to the spline spaces and other shift-invariant spaces. Papoulis’ method is based on sampling output of linear, time-invariant systems. Unser and Zerubia formalized Papoulis’ ap...
متن کاملA Comparative Study of Periods in a Periodic-Finite-Type Shift
Periodic-finite-type shifts (PFT’s) form a class of sofic shifts that strictly contains the class of shifts of finite type (SFT’s). In this paper, we study PFT’s from the viewpoint of certain “periods” that can be associated with them. We define three kinds of periods (descriptive, sequential and graphical) for PFT’s, and investigate the relationships between them. The results of our investigat...
متن کاملThe Backward Shift on Dirichlet-type Spaces
We study the backward shift operator on Hilbert spaces Hα (for α ≥ 0) which are norm equivalent to the Dirichlet-type spaces Dα. Although these operators are unitarily equivalent to the adjoints of the forward shift operator on certain weighted Bergman spaces, our approach is direct and completely independent of the standard Cauchy duality. We employ only the classical Hardy space theory and an...
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ژورنال
عنوان ژورنال: IEEE Transactions on Information Theory
سال: 2011
ISSN: 0018-9448,1557-9654
DOI: 10.1109/tit.2011.2143910