Invariant spherical distributions and the Fourier inversion formula on \(GL(n,{\mathbb{C}})/GL(n,{\mathbb{R}})\)
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Publication:797088
DOI10.2969/jmsj/03620191zbMath0545.43010OpenAlexW1986158710MaRDI QIDQ797088
Publication date: 1984
Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2969/jmsj/03620191
Harmonic analysis on homogeneous spaces (43A85) Analysis on real and complex Lie groups (22E30) Harmonic analysis and spherical functions (43A90)
Related Items (5)
Fonctions généralisées sphériques sur $G_\mathbb{C}/G_\mathbb{R}$ ⋮ Coefficients généralisés de séries principales sphériques et distributions sphériques sur \(G_ \mathbb{C} /G_ \mathbb{R}\). (Generalized coefficients of spherical principal series and spherical distributions over \(G_ \mathbb{C} /G_ \mathbb{R}\)) ⋮ Spherical generalized functions induced on \(G_{\mathbb{C}}/G_{\mathbb{R}}\) and applications ⋮ Distinguished representations and a Fourier summation formula ⋮ Invariant spherical distributions of discrete series on real semisimple symmetric spaces \(G_ C/G_ R\)
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