Injectivity Sets for Spherical Means on the Heisenberg Group.
Mark L. Agranovsky, Rama Rawat (1999)
The journal of Fourier analysis and applications [[Elektronische Ressource]]
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Displaying similar documents to “A Fast Transform for Spherical Harmonics.”
Injectivity Sets for Spherical Means on the Heisenberg Group.
Spherical Means and the Restriction Phenomenon.
L. Brandolini, A. Iosevich (2001)
The journal of Fourier analysis and applications [[Elektronische Ressource]]
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Injectivity Sets for Spherical Means on ... and on Symmetric Spaces.
A. Sitaram, Rama Rawat (2000)
The journal of Fourier analysis and applications [[Elektronische Ressource]]
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Spherical harmonics and spherical averages of Fourier transforms
Per Sjölin (2002)
Rendiconti del Seminario Matematico della Università di Padova
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New Type Paley-Wiener Theorems for the Modified Multidimensional Mellin Transform.
Vu Kim Tuan (1998)
The journal of Fourier analysis and applications [[Elektronische Ressource]]
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Pointwise Fourier Inversion and Localization in ...
Anthony Carbery, Fernando Soria (1997)
The journal of Fourier analysis and applications [[Elektronische Ressource]]
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Harmonic analysis on .
Andersen, Nils Byrial, Unterberger, Jérémie M. (2000)
Journal of Lie Theory
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A spherical transform on Schwartz functions on the Heisenberg group associated to the action of U(p,q)
T. Godoy, L. Saal (2006)
Colloquium Mathematicae
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Let 𝓢(Hₙ) be the space of Schwartz functions on the Heisenberg group Hₙ. We define a spherical transform on 𝓢(Hₙ) associated to the action (by automorphisms) of U(p,q) on Hₙ, p + q = n. We determine its kernel and image and obtain an inversion formula analogous to the Godement-Plancherel formula.
Fourier transform of Schwartz functions on the Heisenberg group
Francesca Astengo, Bianca Di Blasio, Fulvio Ricci (2013)
Studia Mathematica
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Let H₁ be the 3-dimensional Heisenberg group. We prove that a modified version of the spherical transform is an isomorphism between the space 𝓢ₘ(H₁) of Schwartz functions of type m and the space 𝓢(Σₘ) consisting of restrictions of Schwartz functions on ℝ² to a subset Σₘ of the Heisenberg fan with |m| of the half-lines removed. This result is then applied to study the case of general Schwartz functions on H₁.
Calderón's Formula Associated with a Differential Operator on (0, ...) and Inversion of the Generalized Abel Transform.
M.A. Mourou, K. Trimèche (1998)
The journal of Fourier analysis and applications [[Elektronische Ressource]]
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A Treatise on Spherical Trigonometry
John Hymers
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Bounds on the Segal-Bargmann Transform of L... Functions.
Brian C. Hall (2001)
The journal of Fourier analysis and applications [[Elektronische Ressource]]
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On the Reproducing Formula of Calderon.
Sadahiro Saeki (1995)
The journal of Fourier analysis and applications [[Elektronische Ressource]]
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