115 citations · 1.9k across the 226 of their papers we have counts for
6 papers · 2 filters
Global functional calculus for operators on compact Lie groups
Michael Ruzhansky, Jens Wirth
In this paper we develop the functional calculus for elliptic operators on compact Lie groups without the assumption that the operator is a classical pseudo-differential operator.…
Gohberg lemma, compactness, and essential spectrum of operators on compact Lie groups
Aparajita Dasgupta, Michael Ruzhansky
In this paper we prove a version of the Gohberg lemma on compact Lie groups giving an estimate from below for the distance from a given operator to the set of compact operators on…
On Hadamard's global inverse function theorem (On global inversion of homogeneous maps)
Michael Ruzhansky, Mitsuru Sugimoto
Hadamard's global inverse theorem provides conditions for a function to be globally invertible on Rn. In this note we show that the conditions are robust enough for the conclusion…
On multipliers on compact Lie groups
Michael Ruzhansky, Jens Wirth
In this note we announce Lp multiplier theorems for invariant and non-invariant operators on compact Lie groups in the spirit of the well-known Hormander-Mikhlin theorem on Rn and…
Schatten classes and traces on compact groups
Julio Delgado, Michael Ruzhansky
In this paper we present symbolic criteria for invariant operators on compact topological groups characterising the Schatten-von Neumann classes for all $0<r\…
Lower bounds for operators on graded Lie groups
Veronique Fischer, Michael Ruzhansky
In this note we present a symbolic pseudo-differential calculus on graded nilpotent Lie groups and, as an application, a version of the sharp Garding inequality. As a corollary, we…