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Oversampling of wavelet frames for real dilations
wavelets affine frames real dilations Second Oversampling Theorem shift invariant subspaces
2012/4/16
We generalize the Second Oversampling Theorem for wavelet frames and dual wavelet frames from the setting of integer dilations to real dilations. We also study the relationship between dilation matrix...
Abstract: We study normed groupoids with dilations and their induced deformations.
Dilations of semigroup crossed products as crossed products of dilations
Dilations of semigroup crossed products of dilations
2010/12/14
Laca constructed a minimal automorphic dilation for every semigroup dynamical system arising from an action of an Ore semigroup by injective endomorphisms of a unital C-algebra. Here we show that the...
Hyperboloid preservation implies the Lorentz and Poincaré groups without dilations
mass shell momentum space velocity hyperboloid proper time velocity Lorentz transformation Poincar´ e transformation
2010/12/9
An analogue of the Alexandrov-Zeeman theorem, based on hyperboloid preservation, as opposed to light cone preservation, is provided. This char-acterizes exactly the Poincar´e group, as opposed t...