Compatible with the Finite Fourier Transform

نویسندگان

  • L. AUSLÄNDER
  • R. TOLIMIERI
چکیده

Let Z/n denote the integers mod n and let % denote the finite Fourier transform on L\Z/n). We let ©2$), » F operate on ©2L2(Z/n) and show that ©2L2(Z/n) can be given a graded algebra structure (with no zero divisors) such that f(/g) ■" ^U)^(g). We do this by establishing a natural isomorphism with the algebra of theta functions with period i. In addition, we find all algebra structures on 02L2(Z/n) satisfying the above condition.

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تاریخ انتشار 1978