On The Behaviour Of Distributions At Infinity, Wiener-Tauberian Type Results
On the convolution in the space
On regular -distributions
On the Quasiasymptotic Behaviour of the Stieltjes Transformation of Distributions
Asymptotic Expansions of Schwartz's Distributions
Some Properties of the Quasiasymptotic of Schwartz Distributions Part ii: Quasiasymptotic at 0
Generalized Solution to a Semilinear Hyperbolic System with a Non-Lipshitz Nonlinearity.
Convolution in Colombeau's Spaces of Generalized Functions; Part I: the Space Ga and the A-integral
Generalized Function Algebras and PDEs with Singularities. A Survey.
alpha-times Integrated Semigroups (alpha in R-)
Convoluted C-operator families and abstract Cauchy problems
Hilbert transform and singular integrals on the spaces of tempered ultradistributions
The Hilbert transform on the spaces of tempered ultradistributions is defined, uniquely in the sense of hyperfunctions, as the composition of the classical Hilbert transform with the operators of multiplying and dividing a function by a certain elliptic ultrapolynomial. We show that the Hilbert transform of tempered ultradistributions defined in this way preserves important properties of the classical Hilbert transform. We also give definitions and prove properties of singular integral operators...
The a-tempered derivative and some spaces of exponential distributions.
Microlocal properties of ultradistributions. Composition and kernel type operators.
Some properties of the quasiasymptotic of Schwartz distributions. I: Quasiasymptotic at .
On the -compatibility of supports of distributions of -type.
Boundary value representation for a class of Beurling ultradistributions
Beurling-Gevrey tempered ultradistributions as boundary values
A note on the Cauchy-Bochner formula for a class of Beurling ultradistributions
Sequence spaces with exponent weights. Realizations of Colombeau type algebras
We give a description of various algebras of generalized functions based on the introduction of pseudo-ultranorms on spaces of sequences in given locally convex function algebras. We study sheaf properties of these algebras, needed for microlocal analysis, and also consider regularity theory, functoriality and different concepts of association and weak equality in a unified setting. Using this approach, we also give new results on embeddings of ultradistribution and hyperfunction spaces into corresponding...
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