INVESTIGADORES
MOSQUERA Carolina Alejandra
congresos y reuniones científicas
Título:
Fourier decay of self-similar measures on the complex plane
Autor/es:
CAROLINA MOSQUERA; ANDREA OLIVO
Lugar:
Bilbao
Reunión:
Seminario; Bilbao Analysis and PDE Seminar,; 2022
Institución organizadora:
Universidad del País Vasco
Resumen:
We prove that the Fourier transform of self-similar measures on the complex plane has fast decay outside of a very sparse set of frequencies, with quantitative estimates, extending the results obtained in the real line by R. Kaufman. Also we derive several applications concerning correlation dimension and Frostman exponent of complex Bernoulli convolutions. Furthermore, we present a generalization for a particular case on Rd, with d ≥ 3. The results are based on a joint work with Andrea Olivo.
