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arxiv: 1106.3615 · v3 · pith:OUEOUAZCnew · submitted 2011-06-18 · 🧮 math-ph · math.MP

A generalized model for Yang-Fourier transforms in fractal space

classification 🧮 math-ph math.MP
keywords fractalspacefractionallocalyang-fouriercalculusgeneralizedmodel
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Local fractional calculus deals with everywhere continuous but nowhere differentiable functions in fractal space. The Yang-Fourier transform based on the local fractional calculus is a generalization of Fourier transform in fractal space. In this paper, local fractional continuous non-differentiable functions in fractal space are studied, and the generalized model for the Yang-Fourier transforms derived from the local fractional calculus are introduced. A generalized model for the Yang-Fourier transforms in fractal space and some results are proposed in detail.

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