MOBIUS INVERSE PROBLEM FOR DISTORTED BLACK-HOLES

Hawking <<thermal>> radiation could be a means to detect black holes o f micron sizes, which may be hovering through the Universe. We conside r these micro black holes to be distorted by the presence of some dist ribution of matter representing a convolution factor for their Hawking radiation. One may hope to determine from their Hawking signals the t emperature distribution of their material shells by the inverse black- body problem. In 1990, Nan-xian Chen has used a so-called modified Mob ius transform to solve the inverse black-body problem. We discuss and apply this technique to Hawking radiation. Some comments on supersymme tric applications of Mobius function and transform are also added.