115 citations · 1.9k across the 226 of their papers we have counts for
9 papers · 2 filters
Fourier multipliers on graded Lie groups
Veronique Fischer, Michael Ruzhansky
In this paper we study multipliers on graded nilpotent Lie groups defined via group Fourier transform. More precisely, we show that Hörmander type conditions on the Fourier multipl…
Approximation property and nuclearity on mixed-norm , modulation and Wiener amalgam spaces
Julio Delgado, Michael Ruzhansky, Baoxiang Wang
In this paper we first prove the metric approximation property for weighted mixed-norm spaces. Using Gabor frame representation this implies that the same…
Eigenfunction expansions of ultradifferentiable functions and ultradistributions
Aparajita Dasgupta, Michael Ruzhansky
In this paper we give a global characterisation of classes of ultradifferentiable functions and corresponding ultradistributions on a compact manifold . The characterisation is…
Kernel and symbol criteria for Schatten classes and -nuclearity on compact manifolds
Julio Delgado, Michael Ruzhansky
In this note we present criteria on both symbols and integral kernels ensuring that the corresponding operators on compact manifolds belong to Schatten classes. A specific test for…
Fourier multipliers, symbols and nuclearity on compact manifolds
Julio Delgado, Michael Ruzhansky
The notion of invariant operators, or Fourier multipliers, is discussed for densely defined operators on Hilbert spaces, with respect to a fixed partition of the space into a direc…
Schatten classes on compact manifolds: Kernel conditions
Julio Delgado, Michael Ruzhansky
In this paper we give criteria on integral kernels ensuring that integral operators on compact manifolds belong to Schatten classes. A specific test for nuclearity is established a…