scholarly journals Some Aspects of Totally Positive Kernels Useful in Information Theory

2019 ◽  
Author(s):  
Semih Yagli ◽  
Alex Dytso ◽  
H. Vincent Poor ◽  
Shlomo Shamai Shitz
Keyword(s):  
Information Theory ◽  
Totally Positive ◽  
Positive Kernels

scholarly journals Gauss interpolation formulas and totally positive kernels

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

Convergence of Interpolation to Transforms of Totally Positive Kernels

1988 ◽  
Vol 40 (3) ◽  
pp. 750-768
Author(s):  
N. Dyn ◽  
D. S. Lubinsky
Keyword(s):  
Exponential Sums ◽  
Rational Functions ◽  
Hilbert Transforms ◽  
Convergence Results ◽  
Totally Positive ◽  
Special Cases ◽  
Positive Kernel ◽  
Image Position ◽  
Positive Kernels ◽  
Stieltjes Series

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.

A theorem on order relations generated by totally positive kernels

1995 ◽  
Vol 186 (9) ◽  
pp. 1241-1269 ◽  
Author(s):  
M L Gerver ◽  
E A Kudryavtseva
Keyword(s):  
Order Relations ◽  
Totally Positive ◽  
Positive Kernels

scholarly journals An Inversion and Representation Theory for Convolution Transforms with Totally Positive Kernels

1948 ◽  
Vol 34 (4) ◽  
pp. 152-156 ◽  
Author(s):  
I. I. Hirschman ◽  
D. V. Widder
Keyword(s):  
Representation Theory ◽  
Totally Positive ◽  
Positive Kernels

Quantum Information Theory

2016 ◽  
Author(s):  
Mark M. Wilde
Keyword(s):  
Information Theory ◽  
Quantum Information ◽  
Quantum Information Theory

Totally Positive Matrices

2009 ◽  
Author(s):  
Allan Pinkus
Keyword(s):  
Totally Positive ◽  
Positive Matrices ◽  
Totally Positive Matrices

Network Information Theory

2011 ◽  
Author(s):  
Abbas El Gamal ◽  
Young-Han Kim
Keyword(s):  
Information Theory ◽  
Network Information Theory ◽  
Network Information

Information Theory and Coding by Example

2009 ◽  
Author(s):  
Mark Kelbert ◽  
Yuri Suhov
Keyword(s):  
Information Theory
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