Vector valued hyperfunctions and boundary values of vector valued harmonic and holomorphic functions

P Domański, M Langenbruch - Publications of the Research Institute for …, 2008 - ems.press
We develop the theory of hyperfunctions with values in a locally convex nonnecessarily
metrizable space E and find necessary conditions and sufficient conditions such that a …

Universal central extension of the Lie algebra of Hamiltonian vector fields

B Janssens, C Vizman - International Mathematics Research …, 2016 - academic.oup.com
For a connected symplectic manifold, we determine the universal central extension of the Lie
algebra of hamiltonian vector fields. We classify the central extensions of, of the Lie algebra …

Theory of vector-valued hyperfunctions

PDF Ion, T Kawai - Publications of the Research Institute for …, 1975 - jstage.jst.go.jp
The theory of hyperfunctions has now been flourishing for some years since its conception
by M. Sato [Sato 1959/60 and earlier references therein]. It is a natural enough exercise to …

Real analytic parameter dependence of solutions of differential equations

P Domański - Revista Matemática Iberoamericana, 2010 - ems.press
Real analytic parameter dependence of solutions of differential equations Page 1 Rev. Mat.
Iberoamericana 26 (2010), no. 1, 175–238 Real analytic parameter dependence of solutions of …

Distributional complexes split for positive dimensions

P Domanski, D Vogt - 2000 - degruyter.com
Distributional complexes split for positive dimensions Page 1 J. reine angew. Math. 522 (2000),
63Ð79 Journal fuÈr die reine und angewandte Mathematik ( Walter de Gruyter Berlin Á New …

On the group of volume-preserving diffeomorphisms

RS Ismagilov - Mathematics of the USSR-Izvestiya, 1981 - iopscience.iop.org
ON THE GROUP OF VOLUME-PRESERVING DIFFEOMORPHISMS Page 1 Mathematics of the
USSR-Izvestiya ON THE GROUP OF VOLUME-PRESERVING DIFFEOMORPHISMS To cite this …

A splitting theorem for the space of smooth functions

P Domański, D Vogt - journal of functional analysis, 1998 - Elsevier
We will show using purely linear functional analytic methods that each exact complex0→
F→(C∞(Ω)) s0→ p 0 (C∞(Ω)) s1→ p 1 (C∞(Ω)) s2→ p 2…, wherepiare matrices of …

[PDF][PDF] Splitting of the∂-complex in weighted spaces of square integrable functions

M Langenbruch - Rev. Mat. Univ. Complut. Madrid, 1992 - dmle.icmat.es
The splitting of the d-complex in weighted spaces of (locally) square integrable functions
(defined on O CC" by means of an (increasing) weight system| W,| n= 1) is characterized by …

Continuous cohomology of gauge algebras and bornological Loday-Quillen-Tsygan theorems

L Miaskiwskyi - arXiv preprint arXiv:2206.08879, 2022 - arxiv.org
We investigate the well-known Loday-Quillen-Tsygan theorem, which calculates the Lie
algebra homology of the general linear algebra $\mathfrak {gl}(A) $ for an associative …

The Ker-Coker-sequence and its generalization in some classes of additive categories

YA Kopylov, VI Kuz'minov - Siberian Mathematical Journal, 2009 - Springer
THE KER-COKER-SEQUENCE AND ITS GENERALIZATION IN SOME CLASSES OF
ADDITIVE CATEGORIES Page 1 Siberian Mathematical Journal, Vol. 50, No. 1, pp. 86–95 …