Gaussian surface measures and the radon transform on separable banach spaces

1980 ◽  
pp. 513-531 ◽  
Author(s):  
Alexander Hertle
Keyword(s):  
Banach Spaces ◽  
Radon Transform ◽  
Gaussian Surface

scholarly journals AN INVERSION FORMULA FOR THE GAUSSIAN RADON TRANSFORM FOR BANACH SPACES

2013 ◽  
Vol 16 (04) ◽  
pp. 1350034 ◽  
Author(s):  
IRINA HOLMES
Keyword(s):  
Banach Spaces ◽  
Radon Transform ◽  
Inversion Formula ◽  
Bargmann Transform ◽  
Abstract Wiener Spaces ◽  
Wiener Spaces

We prove a disintegration theorem for the Gaussian Radon transform Gf on Banach spaces and use the Segal–Bargmann transform on abstract Wiener spaces to find a procedure to obtain f from its Gaussian Radon transform Gf.

scholarly journals A Gaussian Radon transform for Banach spaces

2012 ◽  
Vol 263 (11) ◽  
pp. 3689-3706 ◽  
Author(s):  
Irina Holmes ◽  
Ambar N. Sengupta
Keyword(s):  
Banach Spaces ◽  
Radon Transform
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