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<p>In this paper, we prove an abstract formula for regularized traces of discrete operators in a separable Hilbert space. This formula is a generalization of the formula for the first regularized trace to the case of higher-order traces. We also discuss applications of the formula obtained to a wide class of discrete operators acting in the Bergman space that are generalizations of the Gribov operator from Reggeon field theory.</p>

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AN ABSTRACT FORMULA FOR REGULARIZED TRACES OF DISCRETE OPERATORS AND ITS APPLICATIONS

  • 期刊论文

  • 发表日期：

    2026年2月1日

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  • N. G. Tomin,
  • I. V. Tomina

摘要

In this paper, we prove an abstract formula for regularized traces of discrete operators in a separable Hilbert space. This formula is a generalization of the formula for the first regularized trace to the case of higher-order traces. We also discuss applications of the formula obtained to a wide class of discrete operators acting in the Bergman space that are generalizations of the Gribov operator from Reggeon field theory.