منابع مشابه
Fréchet Algebras of Power Series
We consider Fréchet algebras which are subalgebras of the algebra F = C [[X]] of formal power series in one variable and of Fn = C [[X1, . . . , Xn]] of formal power series in n variables where n ∈ N. In each case, these algebras are taken with the topology of coordinatewise convergence. We begin with some basic definitions about Fréchet algebras, (F )-algebras, and other topological algebras, ...
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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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Introduction Let X be a set and X * := [ t≥0 X t are words over X , a semigroup with the concatenation operation (v , w) → vw, neutral element. Definition Let K be a field. A power series f ∈ K X * is a formal sum f = X w ∈X * fw w (fw ∈ K).
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The main result in this thesis is the generalisation of Bergman’s diamond lemma for ring theory to power series rings. This generalisation makes it possible to treat problems in which there arise infinite descending chains. Several results in the literature are shown to be special cases of this diamond lemma and examples are given of interesting problems which could not previously be treated. O...
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The Fréchet distance is a popular distance measure for curves. We study the problem of clustering time series under the Fréchet distance. In particular, we give (1 + ε)-approximation algorithms for variations of the following problem with parameters k and `. Given n univariate time series P , each of complexity at most m, we find k time series, not necessarily from P , which we call cluster cen...
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ژورنال
عنوان ژورنال: Banach Center Publications
سال: 2010
ISSN: 0137-6934,1730-6299
DOI: 10.4064/bc91-0-7