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5 papers · 1 filter
Henstock--Kurzweil Fourier transforms
Erik Talvila
The Fourier transform is considered as a Henstock--Kurzweil integral. Sufficient conditions are given for the existence of the Fourier transform and necessary and sufficient condit…
Measures of non-compactness of operators on Banach lattices
Vladimir G. Troitsky
Andreu et al [2] and Sadovskii [11] used representation spaces to study measures of non-compactness and spectral radii of operators on Banach lattices. In this paper, we develop re…
Big Bangs and Bounces on the Brane
A. J. M. Medved
In view of our accelerating universe, one of the outstanding theoretical issues is the absence of a quantum-gravitational description of de Sitter space. Although speculative, an i…
Exact Quantum-Statistical Dynamics of Time-Dependent Generalized Oscillators
Sang Pyo Kim, Don N. Page
Using linear invariant operators in a constructive way we find the most general thermal density operator and Wigner function for time-dependent generalized oscillators. The general…
Bad News on the Brane
A. J. M. Medved
There has been substantial interest in obtaining a quantum-gravitational description of de Sitter space. However, any such attempts have encountered formidable obstacles, and new p…