Support properties and Holmgren's uniqueness theorem for differential operators with hyperplane singularities

DOI10.1016/j.jfa.2005.12.006zbMath1103.35009arXivmath/0410581OpenAlexW1973226989MaRDI QIDQ852604

Angela Pasquale, Gestur Olafsson

Publication date: 15 November 2006

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0410581

zbMATH Keywords

support theoremfinite reflection groupsshift operatorsHolmgren's uniqueness theoreminvariant singular partial differential operators

Mathematics Subject Classification ID

Related Items (1)

A Paley-Wiener theorem for the \(\Theta\)-hypergeometric transform: the even multiplicity case

Cites Work

• Global solvability of the Laplacians on pseudo-Riemannian symmetric spaces
• Eigenspaces of invariant differential operators on an affine symmetric space
• Global solvability of the Casimir operator
• Completely integrable Hamiltonian systems connected with semisimple Lie algebras
• The Dunkl transform
• The most continuous part of the Plancherel decomposition for a reductive symmetric space
• Fourier inversion on a reductive symmetric space
• Lecture notes on Dunkl operators for real and complex reflection groups
• Asymptotic analysis of \(\Theta\)-hypergeometric functions
• A Paley-Wiener theorem for the \(\Theta\)-hypergeometric transform: the even multiplicity case
• Harmonic analysis for certain representations of graded Hecke algebras
• The surjectivity of invariant differential operators on symmetric spaces. I
• A proof of the theorem of supports
• Erratum: Solution of the one-dimensional N-body problems with quadratic and/or inversely quadratic pair potentials [J. Math. Phys. 12, 419–436 (1971)]
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