zbMath1061.46003MaRDI QIDQ4828783
Paweł Domański
Publication date: 26 November 2004
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
General theory of PDEs and systems of PDEs with constant coefficients (35E20)
Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)
Topological linear spaces of continuous, differentiable or analytic functions (46E10)
Spaces defined by inductive or projective limits (LB, LF, etc.) (46A13)
General theory of locally convex spaces (46A03)
Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.) (46A11)
Homological methods in functional analysis (exact sequences, right inverses, lifting, etc.) (46M18)
(C^infty)-functions, quasi-analytic functions (26E10)
Topological linear spaces of test functions, distributions and ultradistributions (46F05)
Overdetermined systems of PDEs with constant coefficients (35N05)
Weighted (\textit{PLB})-spaces of ultradifferentiable functions and multiplier spaces,
Valdivia's lifting theorem for non-metrizable spaces,
Parameter dependence of solutions of the Cauchy-Riemann equation on weighted spaces of smooth functions,
A note on the barrelledness of weighted PLB-spaces of ultradifferentiable functions,
On the Laplace transform for vector valued hyperfunctions,
On the abstract Cauchy problem for operators in locally convex spaces,
The left heart and exact hull of an additive regular category,
Real analytic parameter dependence of solutions of differential equations over Roumieu classes,
Power bounded composition operators on spaces of analytic functions,
Functional properties of Hörmander's space of distributions having a specified wavefront set,
Explicit representations of spaces of smooth functions and distributions,
Explicit representations of L. Schwartz' spaces \(\mathcal D_{L^p}\) and \(\mathcal D^\prime_{L^p}\) by the sequence spaces \(s\hat\otimes l^p\) and \(s^\prime\hat\otimes l^p\), respectively, for \(1<p<\infty\),
Splitting and parameter dependence in the category of \(\mathrm{PLH}\) spaces,
Surjectivity of differential operators and linear topological invariants for spaces of zero solutions,
The splitting of exact sequences of PLS-spaces and smooth dependence of solutions of linear partial differential equations,
A homological approach to the splitting theory of \(\mathrm{PLS}_{\mathrm{w}}\) spaces,
On the space of Laplace transformable distributions,
Weighted PLB-spaces of continuous functions arising as tensor products of a Fréchet and a DF-space,
Real analytic parameter dependence of solutions of differential equations,
Bornological projective limits of inductive limits of normed spaces,
Projective limits of weighted LB-spaces of holomorphic functions,
Vector valued hyperfunctions and boundary values of vector valued harmonic and holomorphic functions,
PLB-spaces of holomorphic functions with logarithmic growth conditions,
Parameter dependence of solutions of differential equations on spaces of distributions and the splitting of short exact sequences
