3 papers
math.FA2025
The Lifting Property for Frame Multipliers and Toeplitz Operators
Peter Balazs, Karlheinz Gröchenig
Frame multipliers are an abstract version of Toeplitz operators in frame theory and consist of a composition of a multiplication operator with the analysis and synthesis operators.…
math.FA2024
Construction of generalized samplets in Banach spaces
Peter Balazs, Michael Multerer
Recently, samplets have been introduced as localized discrete signed measures which are tailored to an underlying data set. Samplets exhibit vanishing moments, i.e., their measure…
math.FA2023
An unbounded operator theory approach to lower frame and Riesz-Fischer sequences
Peter Balazs, Mitra Shamsabadi
Frames and orthonormal bases are naturally linked to bounded operators. To tackle unbounded operators those sequences might not be well suited. This has already been noted by von N…