Fourier supports of K-finite Bessel integrals on classical tube domains

DOI10.1142/S0129167X18500258zbMath1440.22018OpenAlexW2789644396WikidataQ130185755 ScholiaQ130185755MaRDI QIDQ4638362

Takuya Miyazaki, Kaoru Kodaira, Tetsuya Kobana

Publication date: 8 May 2018

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129167x18500258

zbMATH Keywords

Euclidean Jordan algebrasconfluent hypergeometric functionsdegenerate principal series representationssymmetric tube domains

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Analysis on real and complex Lie groups (22E30) Semisimple Lie groups and their representations (22E46) Other hypergeometric functions and integrals in several variables (33C70) Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15)

Cites Work

• On Bessel integrals for reducible degenerate principal series representations
• On differential operators attached to certain representations of classical groups
• Confluent hypergeometric functions on tube domains
• Discrete decomposability of the restriction of \(A_q(\lambda)\) with respect to reductive subgroups. II: Micro-local analysis and asymptotic \(K\)-support
• Degenerate principal series representations for quaternionic unitary groups
• On some degenerate principal series representations of \(U(n,n)\)
• Generalized principal series representations and tube domains
• Minimal representations via Bessel operators
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