Polynomials on the space of ω-ultradifferentiable functions

• Autorzy: Grasela K.
• Języki publikacji: EN

Abstrakty

EN

The space of polynomials on the space Dω of ω-ultradifferentiable functions is represented as the direct sum of completions of symmetric tensor powers of D′ω.

Słowa kluczowe

EN

omega-ultradifferentiable functions; polynomial ultradistributions

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2007
• Tom: Vol. 27, no. 2
• Strony: 221--230
• Opis fizyczny: Bibliogr. 7 poz.

Twórcy

autor

Grasela K.

• Cracow University of Technology, Institute of Mathematics, ul. Warszawska 24, Cracow, Poland,

Bibliografia

• [1] R.W. Braun, R. Meise, B.A. Taylor, Ultradifferentiable functions and Fourier analysis, Results in Mathematics 17 (1990), 206–237.
• [2] I. Cioranescu, L. Zsido, ω-ultradistributions and their applications to operator theory, In Spectral Theory, Banach Center Publications 8, Warsaw, 1982, 77–220.
• [3] S. Dineen, Complex Analysis on Infinite Dimensional Spaces, Springer, 1999.
• [4] K. Grasela, Generalized derivations and Fourier transform of polynomial ulradistributions, Matematychni Studii 20 (2003), 2, 167–178.
• [5] A. Grothendieck, Produits tensoriels topologiques et espaces nuclearies, Mem. Amer. Math. Soc. 16 (1955).
• [6] H. Komatsu, Ultradistributions I. Structure theorems and a characterization, J. Fac. Sci.Tokyo, Sec. IA 20 (1973), 25–105.
• [7] H. Schaefer, Topological Vector Spaces, Springer, 1971.