A Fast Transform for Spherical Harmonics.
Martin J. Mohlenkamp (1999)
The journal of Fourier analysis and applications [[Elektronische Ressource]]
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Displaying similar documents to “Injectivity Sets for Spherical Means on the Heisenberg Group.”
A Fast Transform for Spherical Harmonics.
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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A Treatise on Spherical Trigonometry
John Hymers
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Asymptotic spherical analysis on the Heisenberg group
Jacques Faraut (2010)
Colloquium Mathematicae
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The asymptotics of spherical functions for large dimensions are related to spherical functions for Olshanski spherical pairs. In this paper we consider inductive limits of Gelfand pairs associated to the Heisenberg group. The group K = U(n) × U(p) acts multiplicity free on 𝓟(V), the space of polynomials on V = M(n,p;ℂ), the space of n × p complex matrices. The group K acts also on the Heisenberg group H = V × ℝ. By a result of Carcano, the pair (G,K) with G = K ⋉ H is a Gelfand pair....
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.
Spherical harmonics and spherical averages of Fourier transforms
Per Sjölin (2002)
Rendiconti del Seminario Matematico della Università di Padova
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On the spherical means and some of their applications.
M. Maravcic (1975)
Publications de l'Institut Mathématique [Elektronische Ressource]
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Spherical means on the Heisenberg group and a restriction theorem for the symplectic Fourier transform.
Sundaram Thangavelu (1991)
Revista Matemática Iberoamericana
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The aim of this paper is to study mean value operators on the reduced Heisenberg group H/Γ, where H is the Heisenberg group and Γ is the subgroup {(0,2πk): k ∈ Z} of H.
Spherical quadrangles.
Avelino, Catarina P., Breda, A.M.d'Azevedo, Santos, Altino F. (2010)
Beiträge zur Algebra und Geometrie
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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.
Analogues of Besicovitch-Wiener Theorem for Heisenberg Group.
P.K. Ratnakumar, S. Thangavelu (1995)
The journal of Fourier analysis and applications [[Elektronische Ressource]]
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The Uncertainty Principle: A Mathematical Survey.
A. Sitaram, G.B. Folland (1997)
The journal of Fourier analysis and applications [[Elektronische Ressource]]
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Duality and Biorthonogality for Weyl-Heisenberg Frames.
A.J.E.M. Janssen (1994/95)
The journal of Fourier analysis and applications [[Elektronische Ressource]]
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On the five-point theorems due to Lappan
Yan Xu (2011)
Annales Polonici Mathematici
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By using an extension of the spherical derivative introduced by Lappan, we obtain some results on normal functions and normal families, which extend Lappan's five-point theorems and Marty's criterion, and improve some previous results due to Li and Xie, and the author. Also, another proof of Lappan's theorem is given.