Heisenberg代数中二维欧氏群的酉表示
Unitary representations of the 2-dimensional Euclidean group in the Heisenberg algebra
摘要：
E（2）是Heisenberg代数H的自同构群.明确地构造了H上函数的希尔伯特空间K中的基，在该基上实现了群的酉不可约表示.导出了Kummer函数的加法定理。
英文摘要：
E(2) is studied as the automorphism group of the Heisenberg algebra H. The basis in the Hilbert space K of functions on H on which the unitary irreducible representations of the group are realized is explicitely constructed. The addition theorem for the Kummer functions is derived.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
