On homogeneous rotation invariant distributions and the Laplace operator
Zofia Szmydt (1979)
Annales Polonici Mathematici
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Zofia Szmydt (1979)
Annales Polonici Mathematici
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P. G. Dodds, E. M. Semenov, F. A. Sukochev (2002)
Studia Mathematica
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We present necessary and sufficient conditions for a rearrangement invariant function space to have a complete orthonormal uniformly bounded RUC system.
François Rouvière (1991)
Compositio Mathematica
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Jian-Qiang, Li, Zexuan, Zhu, Zhen, Ji, Hai-Long, Pei (2010)
Mathematical Problems in Engineering
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Marek Jarnicki, Peter Pflug
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John C. Morgan II (1975)
Colloquium Mathematicae
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Fulvio Ricci, Jérémie Unterberger (2001)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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In the first part of this paper we study the local and global solvability and the hypoellipticity of a family of left-invariant sublaplacians on the spheres . In the second part, we introduce a larger family of left-invariant sublaplacians on and study the corresponding properties by means of a Lie group contraction to the Heisenberg group.
E. P. Van den Ban, H. Schlichtkrull (1993)
Compositio Mathematica
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Eugène Lee (1967)
Annales de l'institut Fourier
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Tout espace de fonctions différentiables invariant sous est une algèbre de Banach. De Leeuw et Mirkil ( 13, 1963) ont classifié tous ces “rotating spaces” pour . Nous obtenons ici des résultats correspondants pour arbitraire. Une classification analogue est aussi obtenue pour des espaces de fonctions différentiables sur invariants sous .
Sorin Dumitrescu, Benjamin McKay (2016)
Complex Manifolds
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We prove that any holomorphic locally homogeneous geometric structure on a complex torus of dimension two, modelled on a complex homogeneous surface, is translation invariant. We conjecture that this result is true in any dimension. In higher dimension, we prove it for G nilpotent. We also prove that for any given complex algebraic homogeneous space (X, G), the translation invariant (X, G)-structures on tori form a union of connected components in the deformation space of (X, G)-structures. ...