By Michael Reed, Barry Simon
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This revision will make this booklet extra beautiful as a textbook in useful research. extra refinement of assurance of actual themes also will toughen its well-established use as a direction publication in mathematical physics.
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Of course, it does not have periods around boundary cycles, but could have nonzero periods around some of the basis cycles on the handles of our surface. 14) j could, in general, be multi-valued. 14) around the basis cycle Ki , i = 1, . . 15) where (n1 , n2 , . . , n2h ) is an arbitrary set of integers (positive, or negative). The set of periods {β} is countable and we shall enumerate all the periods. If for p ∈ M, σ(p) is one value of a multivalued function σ at p, then all other values are given by σ(p) e−i βk , k = 1, .
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