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Let μ be a finite positive Borel measure with compact support K⊆C, and regard L∞ as an algebra of multiplication operators on the Hilbert space L2.
Here, the decay rate can be a finite positive constant in a range and the derivative of time-varying delays is only required to have an upper bound which is not required to be less than 1.
Let K be a compact subset of the complex plane C, and let μ be a finite, positive Borel measure on K. Define R∞ to be the weak-star closure in L∞ of the algebra of rational functions with poles off K. For f ϵ R∞, we consider A∞ f, μ), the weak-star closure in L∞ of the algebra generated by R∞ and the complex conjugate f of f.
Let h be a finite, positive, non-decreasing function in ((0,+infty )) with (lim_{tto0+}h(t)=0).
If (x_{n}y_{n}) was bounded, then there would be a finite positive (lim_{ntoinfty}x_{n}y_{n}=c).
Let (mu ) be a finite positive Borel measure supported on the interval ([-1,1]) with infinitely many points at the support and let (b_k, k=1,ldots,K), be real numbers located outside ([-1,1]) with a period.
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The second problem is semi-online scheduling with a buffer of size k, where k k≥1) is a finite positive integer, and known maximum job size.
We study the capacity in the sense of Beurling Deny associated with the Dirichlet space D where μ is a finite positive Borel measure on the unit circle.
for all, is a finite positive constant.
Clearly, w is a finite positive integer if (1.1) holds.
Since n i is a finite positive number, ξ and χ are two deterministic values.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com