33 citations · 54 across the 27 of their papers we have counts for
29 papers
Orthogonality, Spectral Filling, and Uncertainty
Travis Alvarez, Trevor Camper, Mishko Mitkovski
Let a normalized continuous Parseval frame describe the phase space of a reproducing kernel Hilbert space. The frame coefficients of an orthonormal family have total mass equal to…
A Compact Counterexample to Suárez's Berezin Approximation Question
Mishko Mitkovski, Yuyuan Ouyang
Let be the unweighted Bergman space and write for the map induced by the th higher-order Berezin transform. Suárez asked in 2005 whether $Q_…
Local dyadic fractional Sobolev spaces: paraproducts, commutators, and the algebra property
Valentia Fragkiadaki, Mishko Mitkovski, Cody B. Stockdale
We characterize the boundedness and compactness of dyadic paraproducts on local dyadic fractional Sobolev spaces, . We apply this result to establish the algebra property for…
On the density of Toeplitz operators in the Toeplitz algebra over the Bergman space of the unit ball
Vishwa Dewage, Mishko Mitkovski
We use quantum harmonic analysis and representation theory to provide a new proof of Xia's theorem: "Toeplitz operators are norm dense in the Toeplitz algebra over the Bergman spac…
A Semi-Classical Szegő-type Limit Theorem for Toeplitz Operators
Trevor Camper, Mishko Mitkovski
We establish an abstract Szegő-type limit theorem for Toeplitz operators associated with normalized continuous Parseval frames. Our assumptions consist essentially of a natural nor…
A quantum harmonic analysis approach to the Berger-Coburn theorem
Vishwa Dewage, Mishko Mitkovski
We use quantum harmonic analysis for densely defined operators to provide a simplified proof of the Berger-Coburn theorem for boundedness of Toeplitz operators. In addition, we rev…