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Generalized notions of harmonic functions symmetric spaces

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In questo articolo espositivo viene considerato il seguente problema: dato uno spazio simmetricoG/K ed un sottogruppo parabolicoP diG, come è possibile caratterizzare tramite equazioni differenziali la classe degli integrali di Poisson delle funzioni (generalizzate) suG/P? Viene descritto il recente risultato dovuto a K. Johnson e all’autore, e vengono considerati ulteriori sviluppi.

Summary

This is an expository paper concerned with the following problem: letG/K be a symmetric space andP be a parabolic subgroup ofG; how can one characterize by differential equations the class of Poisson integrals of (generalized) functions onG/P? The recent result by K. Johnson and the author is described and further developments are considered.

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Authors and Affiliations

  1. Washington University of Saint Louis, USA

    Adam Koranyi

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  1. Adam Koranyi
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(Conferenza tenuta il 22 gennaio 1981)

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Koranyi, A. Generalized notions of harmonic functions symmetric spaces. Seminario Mat. e. Fis. di Milano 51, 9–16 (1981). https://doi.org/10.1007/BF02924810

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