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Denseness of test functions in the space of extended fourier hyperfunctions
Denseness of test functions in the space of extended fourierhyperfunctions
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Abstract
We research properties of analytic functions which areexponentially decreasing or increasing. Also we show that thespace of test functions is dense in the space of extended Fourierhyperfunctions, and that the Fourier transform of the space ofextended Fourier hyperfunctions into itself is an isomorphism andParseval's inequality holds.
참고문헌 (6)
- "D. Kim and S. K. Kim \paperStructure of the extended Fourier hyperfunctions \jour Jap. J.Math. \vol 19 \issue 2 \yr 1993 \pages 217--226"
- "A. Kaneko \book Introduction to hyperfunctions\publ KTK Sci. Publ.", Tokyo \yr 1992, ~
- "H. Komatsu \book Introduction to the theory ofgeneralized functions \publ Iwanami Sheo-ten"
- "S. -Y. Chung and D. Kim \paper Fourier hyperfunctions as the boundary values of smooth solutions of heat equations \jour Publ. Res. Inst. Math. Sci. \vol 29 \issue 2 \yr 1993 \pages 289--300"
- "H. R. Parks \book A Primer of real analytic functions \publ Birkhauser Verlag \yr 1992"
- "G. Weiss \book Introduction toFourier Analysis on Euclidean spaces \publ Princeton Univ. Press \yr 1975"
관련 논문AI추천
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