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- W2749513818 abstract "We introduce new tools for pointwise singularity classification: We investigate the properties of the two-variable function which is defined at every point as the p-exponent of a fractional integral of order t; new exponents are derived which are not of regularity type but give a more precise description of the behavior of the function near a singularity. We revisit several classical examples (deterministic and random) of multifractal functions for which the additional information supplied by this classification is derived. Finally, a new example of multifractal function is studied, where these exponents prove pertinent." @default.
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- W2749513818 date "2017-01-01" @default.
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- W2749513818 title "New Exponents for Pointwise Singularity Classification" @default.
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- W2749513818 doi "https://doi.org/10.1007/978-3-319-57805-7_1" @default.
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