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Extension of Exponentially Convex Function on the Heisenberg Group

A. M. Zabel|Maha A. Bajnaid
경북대학교 자연과학대학 수학과|2005.12|Kyungpook Mathematical Journal|제45권 제4호|pp. 491-502

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Abstract

The main purpose of this paper is to extend the exponentially convex func-tions which are dened and exponentially convex on a cylinderical neighborhood in theHeisenberg group. They are expanded in terms of an integral transform associated to thesub-Laplacian operator. Extension of such functions on abelian Lie group are studied in[15].

참고문헌 (10)

  1. "Theory of group representations and applications" (1980), PWN-Polish Scientic Publishers
  2. "Expansions in eigenfunctions of self-adjoint operators", 17 (1968)
  3. "A fundamental solution for a subelliptic operator", 79, pp.373~376 (1973)
  4. "Integral representation of exponentially convexfunctions of an innite number of variables", 50, pp.15~26 (1980)
  5. "Can. Math. Bull.", 23 4, pp.383~396 (1980)
  6. "Second order right-invariant partial dierential equations on aLie group", 142, pp.337~354 (1989)
  7. "Positive denite functions on the Heisenberg group", 201, pp.455~576 (1989)
  8. "Spectral transform for the sub-Laplacian on the Heisenberg group", 50, pp.101~121 (1988)
  9. "The theory of unitary group representations Univ. of Chicago Press" (1976)
  10. "The extension problem for exponentially convex function", 44(1), pp.31~39 (2004)

관련 논문AI추천

The Extension Problem for Exponentially Convex FunctionsA. M. Zabel, Maha A. Bajnaid경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2004 · 제44권 제1호Uncertainty Principle on Compact Extensions of the Heisenberg GroupSalma Azaouzi경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2025 · 제63권 제3호Hardy inequalities in half spaces of the Heisenberg groupJunqiang Han, Pengcheng Niu, Wenji Qin대한수학회 · 대한수학회보2008 · 제45권 제3호Extension of CR-functions defined on wedge-like domains in CR-manifoldsDmitri Zaitsev, Giuseppe Zampieri대한수학회 · 대한수학회지2003 · 제40권 제4호FRACTIONAL INTEGRAL ALONG HOMOGENEOUS CURVES IN THE HEISENBERG GROUP김준일대한수학회 · 대한수학회지2005 · 제42권 제3호A Neumann type problem on an unbounded domain in the Heisenberg groupAshutosh Pandey, Mukund Madhav Mishra, Shivani Dubey대한수학회 · 대한수학회지2022 · 제59권 제3호

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