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Boehmians on the torus
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Abstract
By relaxing the requirements for a sequence of func-tions to be a delta sequence, a space of Boehmians on the torus(Td) is constructed and studied. The space(Td) contains thespace of distributions as well as the space of hyperfunctions on thetorus. The Fourier transform is a continuous mapping from(Td)onto a subspace of Schwartz distributions. The range of the Fouriertransform is characterized. A necessary and sucient condition fora sequence of Boehmians to converge is that the corresponding se-quence of Fourier transforms converges inD0(Rd).
참고문헌 (5)
- "Remarks on topological properties of Boehmians", 35(3), pp.727~740 (2005)
- "Tempered Boehmians and ultradistributions", 123, pp.813~817 (1995)
- "Boehmians on manifolds, Internat", 24(9), pp.582~588 (2000)
- "Periodic Boehmians", 12, pp.685~692 (1989)
- "Periodic Boehmians II", 44, pp.271~278 (1991)
관련 논문AI추천
One-parameter groups of BoehmiansDennis Nemzer대한수학회 · 대한수학회보2007 · 제44권 제3호The Cauchy Representation of Integrable and Tempered BoehmiansDeshna Loonker, Pradeep Kumar Banerji경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2007 · 제47권 제4호Ridgelet transform on square integrable BoehmiansRajakumar Roopkumar대한수학회 · 대한수학회보2009 · 제46권 제5호Fourier Cosine and Sine Transformable BoehmiansChinnaraman Ganesan, Rajakumar Roopkumar경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2014 · 제54권 제1호CONVOLUTORS FOR THE SPACE OF FOURIER HYPERFUNCTIONSKwang Whoi Kim대한수학회 · 대한수학회지2005 · 제42권 제3호On the commutative product of distributionsBrian Fisher, Kenan Ta\c s대한수학회 · 대한수학회지2006 · 제43권 제2호
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