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Actually, such an integral transform is a generalization of the finite Fourier transform where the sine and cosine functions are replaced by more general sets of orthogonal functions.
While the original intent focused on star-shaped regions, some of the tools developed here are useful for other problems, e.g. sampling from more general sets.
The traditional treatment assumes not only that, but also that the sets, are intervals, while the present treatment (it should be emphasized that the methods employed to establish our results are not usual in this topic) makes it possible to consider more general sets (examples for functions satisfying (A ) and (A ) can be found in [11]).
First, we observe that the overall trends we find in our dataset coincide with those previously observed by other authors that have studied alternative splicing in more general sets of genes.
For the latter, in which data from sub-samples of patients may be routinely collected the choice of phase I stratification will need to be tailored to more general sets of goals.
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Recently, for the purpose of generality, SFP (1.1) has been studied in a more general setting.
Recently, for the purpose of generality, the SFP (1.1) is studied in a more general setting.
In a more general setting, agents have to learn both the form and parameters of their generative models.
Some results are also proved for a more general setting including symmetric jump processes.
All the results are proved in a more general setting, namely for noncommutative Lp spaces.
In a more general setting, we study the power and limitations of mechanisms without payments.
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