A characterization of self-decomposable probabilities on the half-line

1979 ◽  
Vol 49 (3) ◽  
pp. 349-352 ◽  
Author(s):  
Gunnar Forst
Keyword(s):  
Half Line

scholarly journals A characterization of singular Schrödinger operators on the half-line

2020 ◽  
pp. 1-19
Author(s):  
Raffaele Scandone ◽  
Lorenzo Luperi Baglini ◽  
Kyrylo Simonov
Keyword(s):  
Schrödinger Operators ◽  
Half Line ◽  
Schrodinger Operators

An extension of watanabe's theorem of characterization of poisson processes over the positive real half line

1975 ◽  
Vol 12 (2) ◽  
pp. 396-399 ◽  
Author(s):  
P. Bremaud
Keyword(s):  
Poisson Process ◽  
Lebesgue Measure ◽  
Elementary Proof ◽  
Characterization Theorem ◽  
Poisson Processes ◽  
Half Line ◽  
Positive Real ◽  
The Mean ◽  
Martingale Characterization

We give an elementary proof of the martingale characterization theorem for Poisson processes over the positive real half line. This theorem is due to Watanabe [8] in the case where the mean measure associated to the Poisson process is the Lebesgue measure.

scholarly journals A multivariate version of Williamson’s theorem, ℓ1-symmetric survival functions, and generalized Archimedean copulas

2018 ◽  
Vol 6 (1) ◽  
pp. 356-368
Author(s):  
Paul Ressel
Keyword(s):  
Integral Representation ◽  
Half Line ◽  
Monotone Functions ◽  
Archimedean Copulas ◽  
Survival Functions ◽  
Compatibility Conditions ◽  
New Class ◽  
Multivariate Survival

AbstractWilliamson’s integral representation of n-monotone functions on the half-line is generalized to several dimensions. This leads to a characterization of multivariate survival functions with multiply ℓ1- symmetry. We then introduce a new class of generalized Archimedean copulas, where in contrast to nested Archimedean copulas no extra compatibility conditions for their generators are required.

scholarly journals Gabor systems on positive half line via Walsh-Fourier transform

2020 ◽  
Vol 12 (2) ◽  
pp. 468-482
Author(s):  
O. Ahmad ◽  
N.A. Sheikh
Keyword(s):  
Fourier Transform ◽  
Applied Mathematics ◽  
Vital Role ◽  
Complete Characterization ◽  
Half Line ◽  
Tight Frames ◽  
Gabor Systems ◽  
Orthonormal Bases ◽  
Positive Half

Gabor systems play a vital role not only in modern harmonic analysis but also in several fields of applied mathematics, for instances, detection of chirps, or image processing. In this paper, we investigate Gabor systems on positive half line via Walsh-Fourier transform. We provide the complete characterization of orthogonal Gabor systems on positive half line. Furthermore, we provide the characterization of tight frames and orthonormal bases of Gabor systems on positive half line in Fourier domain.

An extension of watanabe's theorem of characterization of poisson processes over the positive real half line

1975 ◽  
Vol 12 (02) ◽  
pp. 396-399 ◽  
Author(s):  
P. Bremaud
Keyword(s):  
Poisson Process ◽  
Lebesgue Measure ◽  
Elementary Proof ◽  
Characterization Theorem ◽  
Poisson Processes ◽  
Half Line ◽  
Positive Real ◽  
The Mean ◽  
Martingale Characterization

We give an elementary proof of the martingale characterization theorem for Poisson processes over the positive real half line. This theorem is due to Watanabe [8] in the case where the mean measure associated to the Poisson process is the Lebesgue measure.

Morphological Characterization of Mycobacteriophage R1

1974 ◽  
Vol 32 ◽  
pp. 254-255
Author(s):  
B. L. Soloff ◽  
T. A. Rado
Keyword(s):  
Carbon Source ◽  
Stationary Phase ◽  
Growth Phase ◽  
Minimal Medium ◽  
Morphological Characterization ◽  
Logarithmic Growth Phase ◽  
Complete Lysis ◽  
Lysogenic Culture ◽  
Logarithmic Growth

Mycobacteriophage R1 was originally isolated from a lysogenic culture of M. butyricum. The virus was propagated on a leucine-requiring derivative of M. smegmatis, 607 leu−, isolated by nitrosoguanidine mutagenesis of typestrain ATCC 607. Growth was accomplished in a minimal medium containing glycerol and glucose as carbon source and enriched by the addition of 80 μg/ ml L-leucine. Bacteria in early logarithmic growth phase were infected with virus at a multiplicity of 5, and incubated with aeration for 8 hours. The partially lysed suspension was diluted 1:10 in growth medium and incubated for a further 8 hours. This permitted stationary phase cells to re-enter logarithmic growth and resulted in complete lysis of the culture.

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