AN INVERSION FORMULA FOR THE GAUSSIAN RADON TRANSFORM FOR BANACH SPACES

作者：Holmes Irina^*

来源：Infinite Dimensional Analysis, Quantum Probability and Related Topics, 2013, 16(4): 1350034.

DOI：10.1142/S0219025713500343

• Gaussian Radon transform
• abstract Wiener space
• Segal-Bargmann transform

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.

• 出版日期2013-12