On the Band Functions and Bloch Functions
O. A. Veliev
TL;DR
This paper investigates the continuity properties of band and Bloch functions associated with differential operators that have periodic matrix coefficients, providing insights into their mathematical behavior.
Contribution
It introduces new results on the continuity of band and Bloch functions for differential operators with periodic matrix coefficients.
Findings
Proved continuity of band functions
Established continuity of Bloch functions
Analyzed effects of periodic matrix coefficients
Abstract
In this paper we consider the continuity of the band functions and Bloch functions of the differential operators generated by the differential expressions with periodic matrix coefficients.
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Taxonomy
TopicsMathematical functions and polynomials · Matrix Theory and Algorithms · Spectral Theory in Mathematical Physics