3 citations · 5 across the 3 of their papers we have counts for
6 papers
Asymptotically Orthonormal Basis and Toeplitz operators
Emmanuel Fricain, Rishika Rupam
Recently, M. Mitkovski gave a criterion for the basicity of a sequence of complex exponentials in terms of the invertibility properties of a certain naturally associated Toeplitz o…
Backward Shift Invariant Subspaces in Reproducing Kernel Hilbert Spaces
Emmanuel Fricain, Javad Mashreghi, Rishika Rupam
In this note, we describe the backward shift invariant subspaces for a large class of reproducing kernel Hilbert spaces. This class includes in particular de Branges-Rovnyak spaces…
A Note on multipliers between model spaces
Emmanuel Fricain, Rishika Rupam
In this note, we study the multipliers from one model space to another. In the case when the corresponding inner functions are meromorphic, we give both necessary and sufficient co…
On Asymptotically Orthonormal Sequences
Emmanuel Fricain, Rishika Rupam
An asymptotically orthonormal sequence is a sequence which is 'nearly' orthonormal in the sense that it satisfies the Parseval equality up to two constants close to one. In this pa…
Time analyticity with higher norm estimates for the 2D Navier-Stokes equations
Ciprian Foias, Michael S. Jolly, Ruomeng Lan +3
This paper establishes bounds on norms of all orders for solutions on the global attractor of the 2D Navier-Stokes equations, complexified in time. Specifically, for periodic bound…
Uniform boundedness of derivatives of meromorphic inner functions on the real line
Rishika Rupam
Inner functions are an important and popular object of study in the field of complex function theory. We look at meromorphic inner functions with a given spectrum and provide suffi…