Spectral Properties of Totally Positive Kernels and Matrices

Author(s):  
Allan Pinkus



1977 ◽  
Vol 31 (140) ◽  
pp. 984-984 ◽  
Author(s):  
David L. Barrow


1988 ◽  
Vol 40 (3) ◽  
pp. 750-768
Author(s):  
N. Dyn ◽  
D. S. Lubinsky

Convergence of exponential sumsthat interpolate to Laplace transforms(1.1)have been studied by several authors [3, 6, 8, 15]. For rational functions that interpolate to Markov functions (also called Hamburger or Stieltjes Series or Hilbert Transforms)(1.2)far more detailed convergence results are available (see [10, 11, 16] and references therein). Both (1.1) and (1.2) are special cases of the transform(1.3)where K(x, t) is a strictly totally positive kernel.



1995 ◽  
Vol 186 (9) ◽  
pp. 1241-1269 ◽  
Author(s):  
M L Gerver ◽  
E A Kudryavtseva






2020 ◽  
Vol 2020 (48) ◽  
pp. 17-24
Author(s):  
I.M. Javorskyj ◽  
◽  
R.M. Yuzefovych ◽  
P.R. Kurapov ◽  
◽  
...  

The correlation and spectral properties of a multicomponent narrowband periodical non-stationary random signal (PNRS) and its Hilbert transformation are considered. It is shown that multicomponent narrowband PNRS differ from the monocomponent signal. This difference is caused by correlation of the quadratures for the different carrier harmonics. Such features of the analytic signal must be taken into account when we use the Hilbert transform for the analysis of real time series.



2015 ◽  
Vol 60 (04) ◽  
pp. 356-361 ◽  
Author(s):  
A. Tolochko ◽  
◽  
P. Teselko ◽  
A. Lyashchova ◽  
D. Fedorenko ◽  
...  


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