Some Open Problems About Symmetric Sets

SOME OPEN PROBLEMS ABOUT SYMMETRIC SETS

E is a symmetric set constructed with A constant dissection ratio; = 0- 1

e Pisot

oSalem

Other 0

Variable dissection ratios;t, k;;.l Random set due to Salem (;t~"1Y.

and

o
~i;~ <

Eis a set of uniqueness

yes

no

no

no

yes

Eis a set of synthesis

yes

?

?

?

yes

yes

yes

?

no

yes

yes

yes

?

no

?

A(E)is of type 1 Bochner's property holds

264

+00