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Photochemistry of the Nucleic Acids,is a discrete cocompact group. We already know from the preceding Chapter that —Δ is essentially self-adjoint and positive on the subspace . ⊂ L. (.IH) consisting of all ..-functions . ⋵ ..(.IH) such that Δ. ∈ .. (.IH) . This means that the closure of the graph of Δ in .. (.IH) × .. (.IH) is the gra
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Membrane Models for Circadian Rhythms, .(2, Thuong) ⊂ .(2, ℂ). We already know from Chapter 7 that . is a discrete subgroup which is cofinite but not cocompact. We study the Eisenstein series defined in Chapter 3 in detail for the group .(2, Thuong). In fact we shall establish most of the general facts proved in Section 6.1 for the Eise
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Photographische Chemikalienkunde,of binary hermitian forms as described for example in Bianchi (1892). Eventually our considerations lead to Humbert’s computation of the covolume of .(2, Thuong) where . is the ring of integers in an imaginary quadratic number field. The work of Humbert on hermitian forms is contained in his papers
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Groups Acting Discontinuously on Three-Dimensional Hyperbolic Space,y is quoted from Ford (1951) or Beardon (1977), (1983) We set up the theory as far as is necessary for the chapters to come. We can only quote the more difficult theorems on the subject. To include the proofs of all of them would have blown up the size of this book.
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