The Paley-Wiener theorem and limits of symmetric spaces

DOI10.1007/s12220-013-9467-9zbMath1305.43012arXiv1101.4419OpenAlexW2090842643MaRDI QIDQ471983

Joseph A. Wolf, Gestur Olafsson

Publication date: 18 November 2014

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.4419

zbMATH Keywords

injective and projective limitsPaley-Wiener transformspherical Fourier transform

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Semisimple Lie groups and their representations (22E46) Differential geometry of symmetric spaces (53C35)

Related Items (3)

Conical representations for direct limits of symmetric spaces ⋮ Stepwise square integrable representations for locally nilpotent Lie groups ⋮ Stepwise Square Integrability for Nilradicals of Parabolic Subgroups and Maximal Amenable Subgroups

Cites Work

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• Infinite dimensional multiplicity free spaces. III: Matrix coefficients and regular functions
• The Paley-Wiener theorem and the local Huygens' principle for compact symmetric spaces: the even multiplicity case
• On the Paley-Wiener theorem
• Paley-Wiener theorems for the \({\Theta}\)-spherical transform: an overview
• Harmonic analysis for certain representations of graded Hecke algebras
• A local Paley-Wiener theorem for compact symmetric spaces
• An analogue of the Paley-Wiener theorem for the Fourier transform on certain symmetric spaces
• On the Plancherel formula and the Paley-Wiener theorem for spherical functions on semisimple Lie groups
• Holomorphic extensions of representations. II: Geometry and harmonic analysis
• The Segal–Bargmann Transform on Compact Symmetric Spaces and Their Direct Limits
• Extension of Symmetric Spaces and Restriction of Weyl Groups and Invariant Polynomials
• Infinite Dimensional Multiplicity Free Spaces II: Limits of Commutative Nilmanifolds
• Minimum and Conjugate Points in Symmetric Spaces

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