Injectivity of the spherical means operator - France
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A generalization of the Funk–Radon transform
The inversion of the spherical mean operator S is an overdetermined problem transform Uz with respect to z that yields an injectivity result for U1. |
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Spherical Sliced-Wasserstein
17 juin 2022 project OTTOPIA ANR-20-CHIA-0030 of the French National Research Agency (ANR). References ... Injectivity of the spherical mean operator and. |
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Injectivity of Lipschitz operators
5 mai 2022 teaching and research institutions in France or ... The Lipschitz-free space over M is then defined as the closed ... its unit sphere. |
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Théorie des Opérateurs1
Définition 1.2 On appelle opérateur sur H une application linéaire continue de H dans Proposition 1.3 Voici quelques propriétés de la norme opérateur. |
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On Two Families of Funk-Type Transforms
19 août 2019 spherical slice transform respectively. Our main concern is injectivity of the operators (1.1) and inversion formulas. |
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ArXiv:math/0606314v7 [math.AP] 2 Sep 2006 Range descriptions for
2.3 Bessel functions and eigenfunctions of the Bessel operator and Laplacian 8 The spherical mean Radon transform which integrates a function over all. |
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Sundaram Thangavelu – Curriculum Vitae
Birkhauser Book Series on Pseudodifferential operators: (with G. Sajith) On the injectivity of twisted spherical means Israel J. of. |
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The Radon Transform and Medical Imaging : Back Matter
[10] M. Agranovsky and E. T. Quinto Injectivity sets for the Radon [226] D. Finch and Rakesh |
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The Funk–Radon transform for hyperplane sections through a
18 oct. 2018 Radon transform spherical means |
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Intrinsic Statistics on Riemannian Manifolds: Basic Tools for
17 août 2011 As the expectation is a linear operator it is easily generalized to vector or ma- trix functions in order to define the mean value and the ... |
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Injectivity of the spherical means operator
Injectivity of the spherical means operator Alexander G Rammab a LMA-CNRS 31 Chemin J Aiguier 13402 Marseille France b Mathematics Department Kansas State University Manhattan KS 66506-2602 USA Received 4 October 2002; accepted 4 October 2002 Note presented by Bernard Malgrange |
| Injectivity of the spherical means operator |
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ArXiv:10125167v8 [mathFA] 17 May 2012
The spherical means of a function f in L1(Hn) are de?ned by (1 1) f ?µs(zt) = Z w=s f((zt)(?w0)) dµs(w) Thus the spherical means can be thought of as convolution operators An im- portant technique in many problem on Hnis to take partial Fourier transform in the t-variable to reduce matters to Cn |
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Injectivity sets for spherical means on the Heisenberg group
ABSTRACT We prove that the boundary of a bounded domain is a set of injectivity for the twisted spherical means on C n for a certain class of functions on C n As a consequence we obtain results about injectivity of the spherical mean operator in the Heisenberg group and the complex Radon transform 1 Introduction |
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INJECTIVITY OF THE SPHERICAL MEAN OPERATOR AND RELATED
INJECTIVITY OF THE SPHERICAL MEAN OPERATOR AND RELATED PROBLEMS Mark L Agranovsky and Eric Todd Quinto Bar Ilan University Tufts University Abstract The problem of injectivity for a Radon transform over level sets of poly- nomials in Rnis studied |
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G p m arXiv:210914963v1 [mathFA] 30 Sep 2021 - ResearchGate
First is the standard spherical means which is de?ned to be the averageof a function over the spheres in the complement of the center second is the average overthe product of spheres in the |
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GELFAND PAIRS K-SPHERICAL MEANS AND
Abstract We study the injectivity properties of the spherical mean value op- erators associated to the Gelfand pairs (H n K) where K is a compact subgroup of U(n) We show that these spherical mean value operators are injective on LP(H n) for 1 < p < oc For p = e~ these operators are not injective |
| The spherical mean value operator with centers on a sphere |
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Part III Application to the spherical mean operator - Springer
investigation of the spherical mean operator M We shortly summarize the mathematical models in SONAR and SAR (Section 11 1) and the mathemati-cal properties of Mwhich are proved in Andersson [5] (Section 11 2) Just as in [5] we only consider the case where the center set Ais a special hyperplane |
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Searches related to injectivity of the spherical means operator france filetype:pdf
SPHERICAL MEANS AND CR FUNCTIONS ON THE HEISENBERG GROUP By S THANGAVELU Abstract The injectivity of the spherical mean value operator on the Heisen- berg group is studied Whenf E LP(Hn) 1 _< p < oo it is proved that the spherical mean value operator is injective When 1 _< p _< 2f(z ) E LP(~) the |
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Injectivity of the spherical means operator - Math KSU - Kansas
Injectivity of the spherical means operator Alexander G Ramm a,b a LMA- CNRS, 31 Chemin J Aiguier, Marseille 13402, France b Mathematics Department |
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A generalization of the Funk–Radon transform to - TU Chemnitz
The inversion of the spherical mean operator S is an overdetermined problem, e g mean operator is injective for all functions f that are even with respect to the |
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Some Personal Remarks on the Radon Transform - MIT Mathematics
Some old times Back in 1955, I worked on extending the mean value theorem of Leifur operators D (annihilating the constants) on G/K At the time (Spring As mentioned, f → Cf is injective and the range D(X)C is explicitly Range descriptions for the spherical mean Radon transform, J Funct France 99 (1971 ), 3–72 |
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Discussion of Radons paper
25 juil 2006 · sphere and associated analytic families of intertwining operators; Radon trans- latter can be written as the spherical mean f0(r) = 1 σn−1 |
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SOME PROBLEMS OF INTEGRAL GEOMETRY IN ADVANCED
in Tunisia and France I owe special thanks to those equivalent to that of inverting the operator R defined as follows: R : f −→ Rf Unknown? subsets Γ of Rn are injectivity sets of the spherical Radon transform? 4 2 1 2 Uniqueness of the |
