ON THE COMPLETENESS AND MINIMALITY OF THE EXPONENTIAL SYSTEM WITH DEGENERATE COEFFICIENTS

Authors

  • B.T. Bilalov
    • A.Sh. Shukurov

      Keywords:

      Schauder bases, degenerate exponential system, , completeness and minimality, Muckenhoupt condition

      Abstract

      In this paper completeness and minimality of system of the formZ 000000a int is investigated.
      Basicity properties of such systems have been investigated in several papers, but all known
      results consider the case when the condition00000000 (Muckenhoupt condition) is fulfilled for
      all 000000r or only one of the numbers 00000a does not satisfy Muckenhoupt condition. We consider
      the case when two of the numbers 000000 a fails to satisfy the Muckenhoupt condition. Some unexpected
      results has been obtained in this direction.

      Downloads

      Published

      2024-02-19

      Issue

      Section

      Articles