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Hence multiplying by the Hasse invariant, if necessary, it follows from Theorem 1 that every odd dihedral representation as above also comes from a classical modular form of level
Taking into account the criterion mentioned above, we can rewrite the definition as follows: ϕ is quasi-excellent if for any field extension E/F there exists a form ψ over F such that
An advantage of the fixed point results of Krasnoselskii’s type such as the result by Burton and Kirk employed in the proof of Theorem 1 is, above all, that they combine a
Keywords: Sobolev orthogonal polynomials; Laguerre polynomials; Sobolev–Laguerre polynomials; Bessel polynomials; Reproducing kernels; Generating functions; Laplace
Although this intuition is correct, the actual analysis is more complicated, as both opportunity cost and value of increased process knowledge are functions of time and
Also, as men- tioned above, the maximum acceptable PP when using the DPB method, should be equal to the economic life of the investment if the cost of capital is used as a
This function can be used to calculate the expected present value of a penalty that is due at ruin, and, if it is interpreted as a probability generating function, to obtain
Firstly, we can view it as a game played by the insider and the market makers: The insider attempts to hide his private information (in the camouflage of the liquidity traders and
