scholarly journals Multi-parameter singular Radon transforms III: Real analytic surfaces

2012 ◽  
Vol 229 (4) ◽  
pp. 2210-2238 ◽  
Author(s):  
Elias M. Stein ◽  
Brian Street
Keyword(s):  
Radon Transforms ◽  
Real Analytic ◽  
Singular Radon Transforms

scholarly journals Extension sets for real analytic functions and applications to Radon transforms

1996 ◽  
Vol 19 (4) ◽  
pp. 625-632
Author(s):  
Vernor Arguedas ◽  
Ricardo Estrada
Keyword(s):  
Entire Function ◽  
Analytic Functions ◽  
Radon Transforms ◽  
Support Theorem ◽  
The Real ◽  
Real Analytic Functions ◽  
Small Set ◽  
Real Analytic

The real analytic character of a functionf(x,y)is determined from its behavior along radial directionsfθ(s)=f(scosθ,ssinθ)forθ∈E, whereEis a “small” set. A support theorem for Radon transforms in the plane is proved. In particular iffθextends to an entire function forθ∈Eandf(x,y)is real analytic inℝ2then it also extends to an entire function inℂ2.

scholarly journals Multi-parameter singular Radon transforms II: TheLptheory

2013 ◽  
Vol 248 ◽  
pp. 736-783 ◽  
Author(s):  
Elias M. Stein ◽  
Brian Street
Keyword(s):  
Radon Transforms ◽  
Singular Radon Transforms

A T(1) theorem for singular Radon transforms

2007 ◽  
Vol 339 (3) ◽  
pp. 599-626
Author(s):  
Michael Greenblatt
Keyword(s):  
Radon Transforms ◽  
Singular Radon Transforms
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