3 citations · 11 across the 19 of their papers we have counts for
19 papers
Dimension of Images of Large Level Sets
Anthony G. O'Farrell, Gavin Armstrong
Let be a natural number. We consider -times continuously-differentiable real-valued functions , where is some interval on the line having positive leng…
Centralisers of formal maps
Anthony G. O'Farrell
We consider formal maps in any finite dimension with coefficients in an integral domain with identity. Those invertible under formal composition form a group .…
Riordan Groups in higher Dimensions
Anthony G. O'Farrell
The classical Riordan groups associated to a given commutative ring are groups of infinite matrices (called Riordan arrays) associated to pairs of formal power series in one variab…
Boundary values of holomorphic distributions in negative Lipschitz classes
Anthony G. O'Farrell
We consider the behaviour at a boundary point of an open subset of distributions that are holomorphic on and belong to what are called negative Lipschitz c…
Derivatives at the Boundary for Analytic Lipschitz Functions
Anthony G. O'Farrell
We consider the behaviour of holomorphic functions on a bounded open subset of the plane, satisfying a Lipschitz condition with exponent , with , in the vicinity of an ex…
Ditkin Conditions
Azadeh Nikou, Anthony G. O'Farrell
This paper is about the connection between certain Banach-algebraic properties of a commutative Banach algebra with unit and the associated commutative Banach algebra …