Dissipative fractal Dirac equations

Allahverdiyev B., TUNA H.

Asian-European Journal of Mathematics, 2025 (ESCI) identifier

  • Nəşrin Növü: Article / Article
  • Nəşr tarixi: 2025
  • Doi nömrəsi: 10.1142/s1793557125500871
  • jurnalın adı: Asian-European Journal of Mathematics
  • Jurnalın baxıldığı indekslər: Emerging Sources Citation Index (ESCI), Scopus, zbMATH
  • Açar sözlər: completeness, Fractal Dirac equations, scattering matrix, selfadjoint dilation
  • Adres: Bəli

Qısa məlumat

This study investigates fractal Dirac problems in the regular case. The initial presentation of the subject matter is focused on dissipative expansions for this class of equations. The construction of a scattering matrix corresponding to the dilation is achieved by developing a selfadjoint dilation of the maximal dissipative operator, in conjunction with its incoming and outgoing spectral representations in each instance. Furthermore, a functional model of the maximal dissipative operator is developed, and its characteristic function is derived. The establishment of completeness theorems for these operators is shown to be of central significance.