A local Levinson theorem for compact symmetric spaces

zbMath1442.43006arXiv1902.03583MaRDI QIDQ5241597

Mithun Bhowmik

Publication date: 31 October 2019

Full work available at URL: https://arxiv.org/abs/1902.03583

zbMATH Keywords

Fourier transformLevinson's theoremRiemannian symmetric space

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Differential geometry of symmetric spaces (53C35) Spherical harmonics (33C55)

Related Items (1)

Completeness of exponentials and Beurling's theorem on \(\mathbb{R}^n\) and \(\mathbb{T}^n\)

Cites Work

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• Fourier series on compact symmetric spaces: \(K\)-finite functions of small support
• Entire functions of exponential type with polynomial growth on \(\mathbb R^n_x\)
• Uncertainty principles of Ingham and Paley-Wiener on semisimple Lie groups
• A local Paley-Wiener theorem for compact symmetric spaces
• On Cartwright’s theorem
• Fourier analysis on compact symmetric space
• Functions with a spectral gap

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