TY - JOUR
T1 - On the spacing of zeros of paraorthogonal polynomials for singular measures
AU - Breuer, Jonathan
AU - Seelig, Eyal
N1 - Publisher Copyright:
© 2020
PY - 2020/11
Y1 - 2020/11
N2 - We prove a lower bound on the spacing of zeros of paraorthogonal polynomials on the unit circle, based on continuity of the underlying measure as measured by Hausdorff dimensions. We complement this with the analog of the result from Breuer (2011) showing that clock spacing holds even for certain singular continuous measures.
AB - We prove a lower bound on the spacing of zeros of paraorthogonal polynomials on the unit circle, based on continuity of the underlying measure as measured by Hausdorff dimensions. We complement this with the analog of the result from Breuer (2011) showing that clock spacing holds even for certain singular continuous measures.
UR - http://www.scopus.com/inward/record.url?scp=85091222944&partnerID=8YFLogxK
U2 - 10.1016/j.jat.2020.105482
DO - 10.1016/j.jat.2020.105482
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AN - SCOPUS:85091222944
SN - 0021-9045
VL - 259
JO - Journal of Approximation Theory
JF - Journal of Approximation Theory
M1 - 105482
ER -