On the space of 𝐾-finite solutions to intertwining differential operators (Q5240203)

scientific article; zbMATH DE number 7121932

Language	Label	Description	Also known as
English	On the space of 𝐾-finite solutions to intertwining differential operators	scientific article; zbMATH DE number 7121932

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instance of

scholarly article

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title

On the space of 𝐾-finite solutions to intertwining differential operators (English)

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Representation Theory of the American Mathematical Society

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publication date

24 October 2019

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full work available at URL

https://arxiv.org/abs/1808.10042

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zbMATH Keywords

intertwining differential operators

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generalized Verma modules

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duality theorem

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K-finite solutions

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Peter-Weyl-type formulas

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small representations

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Torasso's representation

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hypergeometric polynomials

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MaRDI profile type

MaRDI publication profile

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cites work

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Conformally invariant systems of differential equations and prehomogeneous vector spaces of Heisenberg parabolic type

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Conformally invariant systems of differential operators

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Structure of representations generated by vectors of highest weight

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Unitarization of a singular representation of $\text{SO}(p,q)$

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A Singular Representation of E 6

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A duality theorem for extensions of induced highest weight modules

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Global representations of the Heat and Schr\"odinger equation with singular potential

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Resonances for the Laplacian on Riemannian symmetric spaces: The case of 𝑆𝐿(3,ℝ)/𝕊𝕆(3)

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The minimal representation of the conformal group and classic solutions to the wave equation

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$K$-finite solutions to conformally invariant systems of differential equations

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Equivariant first order differential operators on boundaries of symmetric spaces

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A system of third-order differential operators conformally invariant under $\mathfrak {sl}(3,\mathbb C)$ and $\mathfrak {so}(8,\mathbb C)$

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Uniqueness of Embeddings of Certain Induced Modules

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Small unitary representations of the double cover of $\operatorname{SL}(m)$

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On Representations Associated to the Minimal Nilpotent Coadjoint Orbit of SL (3, R)

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Global representations of the conformal group and eigenspaces of the Yamabe operator on $S^1 \times S^n$

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The unitary irreducible representations of SL¯ (3,<i>R</i>)

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Some genuine small representations of a nonlinear double cover

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Structure of certain induced representations of complex semisimple Lie algebras

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Representations of $\text{SU}(p,q)$ and CR geometry. I

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Identifiers

zbMATH Open document ID

1428.22014

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DOI

10.1090/ert/527

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5240203