Sequence Spaces with Exponent Weights, Realizations of Colombeau Type Algebras |
Contents
Introduction | 5 |
Projective and inductive limits | 15 |
Embeddings | 26 |
Copyright | |
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A₁(T Am(T assume asymptotic algebras Beurling C₁ Colombeau algebra Colombeau type algebras compactly supported consider construction continuous corresponding defined definition denote differential dp,r elements embedded EXAMPLE exists factor algebra fine sheaf fn)n follows Fourier coefficients Fourier transform Fp,r Fp,rm function space given Gp,r Gs,r hyperfunctions ideal implies ind lim inductive limit inequality Kp,r Kp,rm Kunzinger lemma Let f Let ƒ lim proj lim lim sup Math Microlocal analysis multiplication notations numbers o(am Oberguggenberger open set P)-algebras pš/m pm+1 positive constant pow}-mollifiers presheaf proj lim proj projective limit Proof PROPOSITION PROPOSITION 60 prove quotient quotient topology regular set resp Roumieu Schwartz Section seminorms sequence spaces sequences of weights sheaf smooth functions Sobolev subalgebra topological algebra topological ring type spaces ultradistributions ultrametric zero ΕΝ