The Veronese construction for formal power series and graded algebras
نویسندگان
چکیده
منابع مشابه
The Veronese Construction for Formal Power Series and Graded Algebras
Let (an)n≥0 be a sequence of complex numbers such that its generating series satisfies ∑ n≥0 ant n = h(t) (1−t)d for some polynomial h(t). For any r ≥ 1 we study the transformation of the coefficient series of h(t) to that of h〈r〉(t) where ∑ n≥0 anrt n = h 〈r〉(t) (1−t)d . We give a precise description of this transformation and show that under some natural mild hypotheses the roots of h〈r〉(t) c...
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Pseudodifferential operators are formal Laurent series in the formal inverse ∂−1 of the derivative operator ∂ whose coefficients are holomorphic functions. Given a pseudodifferential operator, the corresponding formal power series can be obtained by using some constant multiples of its coefficients. The space of pseudodifferential operators is a noncommutative algebra over C and therefore has a...
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ژورنال
عنوان ژورنال: Advances in Applied Mathematics
سال: 2009
ISSN: 0196-8858
DOI: 10.1016/j.aam.2009.01.001