Three new range theorems are established for the dual Radon transform R*: on C∞ functions that do not decay fast at infinity (and admit an asymptotic expansion), on S(Zn), and on C0∞(Zn)- Here Zn= Sn-1 × ℝ, and R* acts on even functions μ(α,p) = μ(-α, -p), (α,p) ∈ Zn. ©2000 American Mathematical Society
AbstractIt is proved that the radon transform R is an isomorphism between X := L2(Ba) and Y := He(Za...
In a previous study1, the author has given several inversion formulas for the Radon transform on the...
We prove Lp– Lq boundedness for a wide class of Radon-like transforms. The technique of proof levera...
Three new range theorems are established for the dual Radon transform R*: on C∞ functions that do no...
Three new range theorems are established for the dual Radon R*: on C(infinity) functions that do not...
Let an integer m ≥ 0 be fixed. Let Xm be the space of functions f ∈ C∞(ℝn) that admit an asymptotic ...
In [1,2] we have defined, and study, the discrete Radon transform on the lattice Zn. In the followin...
Abstract. A correspondence among the totally geodesic Radon transforms| as well as among their duals...
summary:[For the entire collection see Zbl 0742.00067.]\par Let $P\sp m$ be the set of hyperplanes $...
AbstractLet g be a compactly supported function of d-planes in Rn. We prove that then g is in the ra...
In this paper we present a characterization of the Radon transform without any restriction on its ra...
AbstractLet ƒ be a rapidly decreasing continuous function on ℝn and let f be its Radon transform. If...
Discrete analogues in harmonic analysis, I: l 2[superscript] estimates for singular radon transform
AbstractIn this paper we characterize the range of the matrix Radon transform by invariant different...
Abstract. The Radon transform on Zkn averages a function over its values on a translate of a fixed s...
AbstractIt is proved that the radon transform R is an isomorphism between X := L2(Ba) and Y := He(Za...
In a previous study1, the author has given several inversion formulas for the Radon transform on the...
We prove Lp– Lq boundedness for a wide class of Radon-like transforms. The technique of proof levera...
Three new range theorems are established for the dual Radon transform R*: on C∞ functions that do no...
Three new range theorems are established for the dual Radon R*: on C(infinity) functions that do not...
Let an integer m ≥ 0 be fixed. Let Xm be the space of functions f ∈ C∞(ℝn) that admit an asymptotic ...
In [1,2] we have defined, and study, the discrete Radon transform on the lattice Zn. In the followin...
Abstract. A correspondence among the totally geodesic Radon transforms| as well as among their duals...
summary:[For the entire collection see Zbl 0742.00067.]\par Let $P\sp m$ be the set of hyperplanes $...
AbstractLet g be a compactly supported function of d-planes in Rn. We prove that then g is in the ra...
In this paper we present a characterization of the Radon transform without any restriction on its ra...
AbstractLet ƒ be a rapidly decreasing continuous function on ℝn and let f be its Radon transform. If...
Discrete analogues in harmonic analysis, I: l 2[superscript] estimates for singular radon transform
AbstractIn this paper we characterize the range of the matrix Radon transform by invariant different...
Abstract. The Radon transform on Zkn averages a function over its values on a translate of a fixed s...
AbstractIt is proved that the radon transform R is an isomorphism between X := L2(Ba) and Y := He(Za...
In a previous study1, the author has given several inversion formulas for the Radon transform on the...
We prove Lp– Lq boundedness for a wide class of Radon-like transforms. The technique of proof levera...
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