Towards a theory of functions in abstract Wiener spaces

2010 ◽  
Vol 239 (15) ◽  
pp. 1458-1469 ◽  
Author(s):  
Luigi Ambrosio ◽  
Michele Miranda ◽  
Stefania Maniglia ◽  
Diego Pallara
Keyword(s):  
Abstract Wiener Spaces ◽  
Wiener Spaces

On Seminorms and Probabilities, and Abstract Wiener Spaces

1971 ◽  
Vol 93 (2) ◽  
pp. 390 ◽  
Author(s):  
R. M. Dudley ◽  
Jacob Feldman ◽  
L. Le Cam
Keyword(s):  
Abstract Wiener Spaces ◽  
Wiener Spaces

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.

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