3 papers
math.FA2022
An Application of the supremum cosine angle between multiplication invariant spaces in $L^2(X; \mc H)$
Sudipta Sarkar, Sahil Kalra, Niraj K. Shukla
In this article, we describe the supremum cosine angle between two multiplication invariant (MI) spaces and its connection with the closedness of the sum of those spaces. The resul…
math.FA2020
Microlocal analysis and characterization of Sobolev wavefront sets using shearlets
Bin Han, Swaraj Paul, Niraj K. Shukla
Sobolev wavefront sets and -microlocal spaces play a key role in describing and analyzing the singularities of distributions in microlocal analysis and solutions of partial diff…
math.FA2017
Orthogonality and duality of frames over locally compact abelian groups
Anupam Gumber, Niraj K. Shukla
Motivated by the recent work of Bownik and Ross \cite{BR}, and Jakobsen and Lemvig \cite{JL}, this article generalizes latest results on reproducing formulas for generalized transl…