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<p>We consider and reformulate a recent definition of multiplication between distributions. We show that this definition can be adopted, in particular, to prove biorthonormality of some distributions arising when looking to the (generalized) eigenvalues of a specific non-self-adjoint number-like operator, considered in connection with the recently introduced <i>weak pseudo-bosons</i>. Several examples are discussed in details.</p>

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e-product of distributions, with applications

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年2月13日

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  • F. Bagarello

摘要

We consider and reformulate a recent definition of multiplication between distributions. We show that this definition can be adopted, in particular, to prove biorthonormality of some distributions arising when looking to the (generalized) eigenvalues of a specific non-self-adjoint number-like operator, considered in connection with the recently introduced weak pseudo-bosons. Several examples are discussed in details.