Support theorem for the fundamental solution to the Schrödinger equation on certain compact symmetric spaces

DOI10.1016/j.aim.2010.10.003zbMath1217.35051OpenAlexW1986055528MaRDI QIDQ624338

Tomoyuki Kakehi

Publication date: 9 February 2011

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2010.10.003

zbMATH Keywords

Gauss sumfundamental solutionSchrödinger equationsupportshift operatorcompact symmetric spaceseven multiplicity

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Schrödinger operator, Schrödinger equation (35J10) Differential geometry of symmetric spaces (53C35) Hypergeometric functions associated with root systems (33C67)

Related Items (1)

Equivalent transformation and integrability of the nonlinear Schrödinger equations with time-dependent coefficients

Cites Work

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• The Paley-Wiener theorem and the local Huygens' principle for compact symmetric spaces: the even multiplicity case
• Some applications of hypergeometric shift operators
• Wave propagation on Riemannian symmetric spaces
• Huygens' principle for wave equations on symmetric spaces
• Huygens' principle in Riemannian symmetric spaces
• Integrability and Huygens' principle on symmetric spaces
• An elementary approach to the hypergeometric shift operators of Opdam
• Reciprocity for Gauss sums on finite abelian groups
• Integral geometry and multitemporal wave equations
• The Paley-Wiener space for the multitemporal wave equation

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