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One-parameter groups of Boehmians

Dennis Nemzer
대한수학회 (The Korean Mathematical Society)|2007.08|대한수학회보 (Bulletin of the KMS)|제44권 제3호|pp. 419-428

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Abstract

The space of periodic Boehmians with {convergence is acomplete topological algebra which is not locally convex. A family ofBoehmians fT g such that T0 is the identity and T 1 + 2 = T 1 T 2 forall real numbers 1 and 2 is called a one-parameter group of Boehmians.We show that if fT g is strongly continuous at zero, thenfT g has anexponential representation. We also obtain some results concerning theinnitesimal generator for fT g.

참고문헌 (14)

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  2. "The Hankel transform of integrableBoehmians", 58(3-4), pp.367~382 (1995)
  3. "Ultraspherical transform of summable Boehmians", 44(1), pp.81~88 (1996)
  4. "Remarks on topological properties of Boehmians", 35(3), pp.727~740 (2005)
  5. "Convolution transform for Boehmians", 33(4), pp.1353~1378 (2003)
  6. "Boehmians representing measures", 26(2), pp.377~386 (2000)
  7. "International Series ofMonographs in Pure and Applied Mathematics" (1987), Pergamon Press Oxford; PWN|Polish Scientic Publishers
  8. "Convergence of Boehmians" (1983)
  9. "Tempered Boehmians and ultradistributions", 123(3), pp.813~817 (1995)
  10. "The Radon transform of Boehmians" (1993)
  11. "The dual space of ()", 20(1), pp.111~114 (1997)
  12. "Generalized functions and an extended gap theorem", 35(1), pp.43~49 (2004)
  13. "Lacunary Boehmians", 16(5-6), pp.451~459 (2005)
  14. "International Series in Pure and AppliedMathematics" (1991), McGraw-Hill Inc

관련 논문AI추천

Boehmians on the torusDennis Nemzer대한수학회 · 대한수학회보2006 · 제43권 제4호The 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 제5호Convolution theorems for fractional Fourier cosine and sine transforms and their extensions to BoehmiansChinnaraman Ganesan, Rajakumar Roopkumar대한수학회 · 대한수학회논문집2016 · 제31권 제4호Fourier Cosine and Sine Transformable BoehmiansChinnaraman Ganesan, Rajakumar Roopkumar경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2014 · 제54권 제1호Convergence of integrable semigroups이영섭강원경기수학회 · 한국수학논문집2011 · 제19권 제1호

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