منابع مشابه
The Poisson sum formulae associated with the fractional Fourier transform
The theorem of sampling formulae has been deduced for band-limited or time-limited signals in the fractional Fourier domain by different authors. Even though the properties and applications of these formulae have been studied extensively in the literature, none of the research papers throw light on the Poisson sum formula and non-band-limited signals associated with the fractional Fourier trans...
متن کاملAnalysis of BATSE Data Using the Haar Transform and Poisson
A recently introduced method for the non-parametric (model-free) estimation of intensity prooles underlying gamma-ray bursts is discussed. The method, TIPSH, is based on applying thresholds to the Haar wavelet coeecients of binned counts gathered from such bursts. As functions well-localized with respect to both time and scale, wavelets are an ideal tool for working with the often sharp, abrupt...
متن کاملCartan–Helgason theorem, Poisson transform, and Furstenberg–Satake compactifications
The connections between the objects mentioned in the title are used to give a short proof of the Cartan–Helgason theorem and a natural construction of the compactifications.
متن کاملPoisson Transform for Higher-rank Graph Algebras and Its Applications
Higher-rank graph generalisations of the Popescu-Poisson transform are constructed, allowing to obtain joint dilations of the families of operators satisfying certain commutation relations encoded by the graph structure. Several applications to the analysis of the structure of concrete graph operator algebras are presented. The starting point of classical dilation theory was the construction of...
متن کاملThe Generalization of the Poisson Sum Formula Associated with the Linear Canonical Transform
The generalization of the classical Poisson sum formula, by replacing the ordinary Fourier transform by the canonical transformation, has been derived in the linear canonical transform sense. Firstly, a new sum formula of Chirp-periodic property has been introduced, and then the relationship between this new sum and the original signal is derived. Secondly, the generalization of the classical P...
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: Transactions of the American Mathematical Society
سال: 1955
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-1955-0068036-8