From the 1 of 10 linked papers with an AI index.
10 papers
On convolved weight matrices and local solvability with controlled loss of regularity
Gerhard Schindl
The paper defines a convolution operation for anisotropic weight matrices, studies its properties, shows how it alters associated Braun‑Meise‑Taylor weight functions, and uses it t…
Stability under product and composition for uniform Carleman asymptotic expansions
Javier Jiménez-Garrido, Ignacio Miguel-Cantero, Javier Sanz +1
We study the stability under point-wise product and under composition in Carleman classes of holomorphic functions, defined on sectors of the Riemann surface of the logarithm, and…
On inclusion relations of weighted -type spaces defined in terms of weight function matrices
Gerhard Schindl
We introduce new weighted -type spaces defined in terms of weight function matrices and characterize the inclusion relations in terms of the defining matrices. Moreover, we pr…
On the conjugate weight function and ultradifferentiable classes of entire functions
Gerhard Schindl
We introduce the new notion of a conjugate weight function and provide a detailed study of this operation and its properties. Then we apply this knowledge to study classes of ultra…
Generalized upper and lower Legendre conjugates for weight functions
Gerhard Schindl
We introduce and study new transformations between two functions satisfying some basic growth properties and generalize the known lower and upper Legendre conjugate (or envelope).…
On the equivalence between moderate growth-type conditions in the weight matrix setting II
Gerhard Schindl
We continue the study of the known equivalent reformulations of the classical moderate growth condition for weight sequences in the mixed setting; i.e. when dealing with two differ…