3 papers
math.AP2025
Formal power series solutions with coefficients defined on shrinking discs for some partial differential equations
Alberto Lastra, SÅawomir Michalik, Maria SuwiÅska
In this paper conditions, under which an integro-differential operator is a linear automorphism, are provided. Alternatively, the problem can be considered in terms of existence of…
math.CV2025
On conditions determining formal automorphisms of integro-differential operators
Alberto Lastra, SÅawomir Michalik, Maria SuwiÅska
Results providing conditions on a family of integro-differential operators to determine a formal automorphism are established. Equivalently, the problem can be read in terms of exi…
math.CV2024
On integral representations of -difference operators and their applications
Antonio Cáceres, Alberto Lastra, SÅawomir Michalik +1
Integral representations of two -difference operators are provided in terms of special functions arising in the theory of asymptotic solutions to -difference equations in the…