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



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








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