Characterization of Mellin distributions supported by certain noncompact sets

• Autorzy: Zofia Szmydt , Bogdan Ziemian
• Języki publikacji: EN

Abstrakty

EN

A class of distributions supported by certain noncompact regular sets K are identified with continuous linear functionals on $C_0^∞(K)$. The proof is based on a parameter version of the Seeley extension theorem.

Kategorie tematyczne

• 46F10: Operations with distributions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 1992
• Tom: 102
• Numer: 1
• Strony: 25-38

Daty

wydano

1992

otrzymano

1991-03-28

Twórcy

autor

Zofia Szmydt

• Institute of Mathematics, Polish Academy of Sciences, P.o. Box 137, 00-950 Warszawa, Poland

autor

Bogdan Ziemian

• Institute of Mathematics, Polish Academy of Sciences, P.o. Box 137, 00-950 Warszawa, Poland

Bibliografia

• [1] L. Hörmander, The Analysis of Linear Partial Differential Operators I, Springer, 1985.
• [2] R. Melrose, Analysis on Manifolds with Corners, lecture notes, preprint MIT, 1988.
• [3] Z. Szmydt, Fourier Transformation and Linear Differential Equations, PWN, Warszawa, and Reidel, Dordrecht, 1977.
• [4] B. Ziemian, The Mellin transformation and multidimensional generalized Taylor expansions of singular functions, J. Fac. Sci. Univ. Tokyo 36 (1989), 263-295.