Sequence space representations for weighted solution spaces of hypoelliptic systems of partial differential operators

DOI10.1007/BF02844730zbMath0619.46040MaRDI QIDQ1089581

Michael Langenbruch

Publication date: 1986

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

zbMATH Keywords

sequence space representationDragilev spacesexistence of a multiplicative structure on the weighted solution spacesgeneralized mixed Fourier-Taylor series expansionHörmander's solution of the weighted \({\bar \partial }\)-problemPelczynski's trickProjective and inductive exponential weight conditionsquadratic hypoellipic system of partial differential operators with consant coefficientsweighted spaces of distributions

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Integral transforms in distribution spaces (46F12) Operations with distributions and generalized functions (46F10) Sequence spaces (including Köthe sequence spaces) (46A45) Topological linear spaces of test functions, distributions and ultradistributions (46F05)

Related Items (3)

Partial differential equations without solution operators in weighted spaces of (generalized) functions ⋮ On the diametral dimension of weighted spaces of analytic germs ⋮ Power series spaces and weighted solution spaces of partial differential equations

Cites Work

• Power series spaces and weighted solution spaces of partial differential equations
• Ein Isomorphiesatz für Potenzreihenräume
• Darstellung von Distributionen endlicher Ordnung als Randwerte zu hypoelliptischen Differentialoperatoren
• Kolmogorov diameters in solution spaces of systems of partial differential equations
• Eine Charakterisierung der Potenzreihenraeume von endlichem Typ und ihre Folgerungen
• Linear partial differential operators and generalized distributions
• Projective and injective limits of weakly compact sequences of locally convex spaces
• Supports and singular supports of convolutions
• Bases in solution sheaves of systems of partial differential equations.
• Representation of Holomorphic Functions by Boundary Integrals
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