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The inversion formula for the short-time Fourier transform is usually considered in the weak sense, or only for specific combinations of window functions and function spaces such as L2 and modulation spaces.
      
In the present note the Riemannian sums of the inverse short-time Fourier transform are investigated.
      
We present a simple proof of the resolvent estimates of elliptic Fourier multipliers on the Euclidean space, and apply them to the analysis of time-global and spatially-local smoothing estimates of a class of dispersive equations.
      
We establish particular wavelet-based decompositions of Gaussian stationary processes in continuous time.
      
Traditional methods of time-frequency and multiscale analysis, such as wavelets and Gabor frames, have been successfully employed for representing most classes of pseudodifferential operators.
      
At that time, the polymer and plastic industry was in its nascent stage but the industry quickly grew, providing the materials for a large portion of manufactured goods.
      
The last one is being reported for the first time from this plant.
      
In this study, we find that prodigiosin could effectively inhibit the proliferation of human pancreatic cancer cells H8898 in a dose-and-time-dependent manner, with an IC50 of 75μmol according to the results of MTT and cell proliferation assays.
      
The biological activity on cancer cells and the pharmacokinetics have also been evaluated, showing a very high liver-to-skin ratio and short retention time in tissues.
      
On the stability of differential systems with time lag
      
By means of our inequality and the method of Lyapunov function we study the stability of two kinds of large scale differential systems with time lag and the stability of a higher-order differential equation with time lag.
      
These characterizations are based on the joint conditional probability distribution of arrival times given that the number of arrivals occuring up to any fixed time is known.
      
AnO(n) amortized time algorithm for drawing an at most single-bend embedding of a cubic graph is also presented, wheren is the number of vertices of the graph.
      
We introduce and prove for the first time characterization theorems of the segment code order of digital lines and curves.
      
Crossing time and renewal numbers of two PH-renewal processes
      
This paper considers how to find some joint distributions and their marginal distributions of crossing time and renewal numbers related to two PH-renewal processes by constructing an absorbing Markov process.
      
The existence and uniqueness of a global smooth solution of this system with Cauchy problem and its stability and time decay rate are studied by means of an elementary energy method.
      
In general, this problem is NP-complete and it is proved that forn=2 and 3 this problem is polynomial-time solvable.
      
In this paper, we prove that forn=4, the problem is also polynomial-time solvable and give a method to construct the corresponding graph.
      
Continuous time and discrete time Galerkin methods are introduced to approximate the solution and optimalH1 error estimates are obtained.
      
 

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