Matrix representations of multidimensional integral and ergodic operators

  title={Matrix representations of multidimensional integral and ergodic operators},
  author={Anton A. Kutsenko},
  journal={Appl. Math. Comput.},
  • Anton A. Kutsenko
  • Published 2020
  • Mathematics, Physics, Computer Science
  • Appl. Math. Comput.
  • We provide a representation of the $C^*$-algebra generated by multidimensional integral operators with piecewise constant kernels and discrete ergodic operators. This representation allows us to find the spectrum and to construct the explicit functional calculus on this algebra. In particular, it can be useful for various applications, since almost all discrete approximations of integral and differential operators belong to this algebra. Some examples are also presented: 1) we construct an… CONTINUE READING
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