• Title/Summary/Keyword: space technology

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FOURIER-YEH-FEYNMAN TRANSFORM AND CONVOLUTION ON YEH-WIENER SPACE

  • Kim, Byoung Soo;Yang, Young Kyun
    • Korean Journal of Mathematics
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    • v.16 no.3
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    • pp.335-348
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    • 2008
  • We define Fourier-Yeh-Feynman transform and convolution product on the Yeh-Wiener space, and establish the existence of Fourier-Yeh-Feynman transform and convolution product for functionals in a Banach algebra $\mathcal{S}(Q)$. Also we obtain Parseval's relation for those functionals.

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Sequence Spaces of Fuzzy Real Numbers Using Fuzzy Metric

  • Tripathy, Binod Chandra;Borgohain, Stuti
    • Kyungpook Mathematical Journal
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    • v.54 no.1
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    • pp.11-22
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    • 2014
  • The sequence spaces $c^F$(M), $c^F_0$(M) and ${\ell}^F$(M) of fuzzy real numbers with fuzzy metric are introduced. Some properties of these sequence spaces like solidness, symmetricity, convergence-free etc. are studied. We obtain some inclusion relations involving these sequence spaces.

HYPERSURFACES IN A 6-DIMENSIONAL SPHERE

  • Hashimoto, Hideya;Funabashi, Shoichi
    • Journal of the Korean Mathematical Society
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    • v.34 no.1
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    • pp.23-42
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    • 1997
  • A 6-dimensional sphere considered as a homogeneous space $G_2/SU(3)$ where $G_2$ is the group of automorphism of the octonians O. From this representation, we can define an almost comlex structure on a 6-dimensional sphere by making use of the vector cross product of the octonians. Also it is known that a homogeneous space $G_2/U(2)$ coincides with the Grassmann manifold of oriented 2-planes of a 7-dimensional Euclidean space.

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COMMON FIXED POINT THEOREM IN FUZZY METRIC SPACE USING CONTROL FUNCTION

  • Kumar, Amit;Vats, Ramesh Kumar
    • Communications of the Korean Mathematical Society
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    • v.28 no.3
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    • pp.517-526
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    • 2013
  • We give a fixed point theorem for complete fuzzy metric space which generalizes fuzzy Banach contraction theorems established by V. Gregori and A. Spena [Fuzzy Sets and Systems 125 (2002), 245-252] using notion of altering distance, initiated by Khan et al. [Bull. Austral. Math. Soc. 30 (1984), 1-9] in metric spaces.