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<p>Three sets of subgroup-type eigenfunctions of the Laplace–Beltrami operator on a two-dimensional two-sheeted hyperboloid are considered, and all interbasis expansions between them are calculated. The results demonstrate how the coefficients determining the expansions and the expansions themselves between subgroup bases contract from the hyperboloid to the Euclidean plane.</p>

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Lie algebra contractions and interbasis expansions on two-dimensional hyperboloid. IIA. Subgroup bases

  • 期刊论文

  • 发表日期：

    2026年2月6日

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  • George S. Pogosyan,
  • Alexander Yakhno

摘要

Three sets of subgroup-type eigenfunctions of the Laplace–Beltrami operator on a two-dimensional two-sheeted hyperboloid are considered, and all interbasis expansions between them are calculated. The results demonstrate how the coefficients determining the expansions and the expansions themselves between subgroup bases contract from the hyperboloid to the Euclidean plane.