From the 1 of 15 linked papers with an AI index.
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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…
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…
The Stieltjes moment problem in Gelfand-Shilov spaces defined by weight sequences in the absence of derivation closedness
Javier Jiménez-Garrido, Ignacio Miguel-Cantero, Javier Sanz +1
The Stieltjes moment problem is studied in a new framework within the general Gelfand-Shilov spaces defined via weight sequences. The novelty consists of allowing for a naturally l…
Generalized upper and lower Legendre conjugates for Braun-Meise-Taylor weight functions
Gerhard Schindl
We apply recent knowledge and techniques of the new generalized upper and lower Legendre conjugates to the theory of weight functions in the sense of Braun-Meise-Taylor and study i…
Interpolation of derivatives and ultradifferentiable regularity
Armin Rainer, Gerhard Schindl
Interpolation inequalities for functions allow to bound derivatives of intermediate order by bounds for the derivatives of order and . We review various inte…