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Harmonic analysis on unbounded homogeneous domains in ℂn

Part of the Lecture Notes in Mathematics book series (LNM,volume 1077)

Keywords

  • Maximal Torus
  • Maximal Compact Subgroup
  • Open Orbit
  • Levi Form
  • Homogeneous Domain

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Bibliography

  1. Corwin, Rothschild, Necessary conditions for local solvability of homogeneous left invariant differential operators on nilpotent Lie groups, Acta 147 (1981) 265–288.

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  2. Penney, The theory of ad-associative Lie algebras, Pacific J. of Math. 99 (1982) 459–472.

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  3. Penney, Holomorphically induced representations on nilpotent Lie groups and automorphic forms on nilmanifolds, Trans. Amer. Math. Soc. 260 (1980) 123–145.

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  4. Pjateckii-Sapiro, Geometry and classification of homogeneous bounded domains, Uspehi Math. Nauk, 20 (1965), 3–51 Russian Math. Surv. 20 (1966), 1–48.

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© 1984 Springer-Verlag

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Penney, R. (1984). Harmonic analysis on unbounded homogeneous domains in ℂn . In: Herb, R., Johnson, R., Lipsman, R., Rosenberg, J. (eds) Lie Group Representations III. Lecture Notes in Mathematics, vol 1077. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0072344

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  • DOI: https://doi.org/10.1007/BFb0072344

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-13385-8

  • Online ISBN: 978-3-540-38936-1

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