Functions with a finite number of negative squares on compact groups

1996 ◽  
Vol 67 (1) ◽  
pp. 70-75
Author(s):  
Martin Bl�mlinger
Keyword(s):  
Finite Number ◽  
Compact Groups ◽  
Negative Squares

Expansive dynamics on locally compact groups

2020 ◽  
pp. 1-12
Author(s):  
BRUCE P. KITCHENS
Keyword(s):  
Dynamical System ◽  
Topological Group ◽  
Finite Number ◽  
Locally Compact Groups ◽  
Compact Groups ◽  
Coset Space ◽  
Locally Compact ◽  
Countable State ◽  
Full Shift ◽  
Totally Disconnected

Abstract Let $\mathcal {G}$ be a second countable, Hausdorff topological group. If $\mathcal {G}$ is locally compact, totally disconnected and T is an expansive automorphism then it is shown that the dynamical system $(\mathcal {G}, T)$ is topologically conjugate to the product of a symbolic full-shift on a finite number of symbols, a totally wandering, countable-state Markov shift and a permutation of a countable coset space of $\mathcal {G}$ that fixes the defining subgroup. In particular if the automorphism is transitive then $\mathcal {G}$ is compact and $(\mathcal {G}, T)$ is topologically conjugate to a full-shift on a finite number of symbols.

Representation of generalized Toeplitz kernels with a finite number of negative squares

2012 ◽  
Vol 78 (1-2) ◽  
pp. 111-128
Author(s):  
Ramón Bruzual ◽  
Marisela Domínguez ◽  
Boris Lora
Keyword(s):  
Finite Number ◽  
Negative Squares

Functions with a Finite Number of Negative Squares

1972 ◽  
Vol 15 (3) ◽  
pp. 399-410 ◽  
Author(s):  
James Stewart
Keyword(s):  
Finite Number ◽  
Real Line ◽  
Nonnegative Integer ◽  
Hermitian Form ◽  
The Real ◽  
Image Position ◽  
Negative Squares ◽  
Complex Valued

Let f be a complex-valued function defined on the real line R with the property that for every x∊R. If k is a nonnegative integer,f is said to have k negative squares, or to be indefinite of order k, if the Hermitian form

Functions with a finite number of negative squares on semigroups

1989 ◽  
Vol 107 (1) ◽  
pp. 9-34 ◽  
Author(s):  
Christian Berg ◽  
Zolt�n Sasv�ri
Keyword(s):  
Finite Number ◽  
Negative Squares

Criteria and Methods for Reliable Three-Dimensional Image Reconstruction

1974 ◽  
Vol 32 ◽  
pp. 330-331
Author(s):  
R. A. Crowther
Keyword(s):  
Image Reconstruction ◽  
Finite Number ◽  
Density Distribution ◽  
Electron Micrographs ◽  
Mathematical Problem ◽  
Three Dimensional ◽  
Ideal Case ◽  
Dimensional Image ◽  
General Object ◽  
The Ideal

The reconstruction of a three-dimensional image of a specimen from a set of electron micrographs reduces, under certain assumptions about the imaging process in the microscope, to the mathematical problem of reconstructing a density distribution from a set of its plane projections.In the absence of noise we can formulate a purely geometrical criterion, which, for a general object, fixes the resolution attainable from a given finite number of views in terms of the size of the object. For simplicity we take the ideal case of projections collected by a series of m equally spaced tilts about a single axis.

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