Shapiro and local uncertainty principles for the multivariate continuous shearlet transform.

Quantitative Shapiro's dispersion uncertainty principle and umbrella theorem are proved for the multivariate continuous shearlet transform S H ψ introduced earlier in Dahlke et al. [The continuous shearlet transform in arbitrary space dimensions. Preprint Nr. 2008-7, Philipps-Universität Marburg; 2008; The continuous shearlet transform in arbitrary space dimensions. J Fourier Anal Appl. 2010;16:340–364]. Also, we extend local uncertainty principles for a set of finite measure to S H ψ . [ABSTRACT FROM AUTHOR]