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The basic technique uses factorization of group elements and Gel'fand-Tsetlin bases to simplify the computations, and may be extended to treat the computation of Fourier transforms of finitely supported distributions on the group.
      
This permits us to turn the problems into interpolation problems in spaces of entire functions, which we are able to treat.
      
In particular, we are able to treat the Pinsky phenomenon for eigenfunction expansions of piecewise smooth functions with jump across the boundary of a ball on such manifolds, in dimension three.
      
Based on these facts we treat aspects of nonlinear approximation and show how the new theory can be applied to the Gabor transform on spheres.
      
An MCA-inpainting method is then directly extended to the case of spherical maps allowing us to treat problems where parts of the data are missing or corrupted.
      
Demands for medicines to treat existing, reemerging and new diseases will escalate and intellectual property rights and patent protection will be increasingly challenged.
      
Pancreatic cancer is not only common, but also extremely difficult to treat, for which it has been called "the challenge of the twenty-first century".
      
Inhibitors of AR thus seem to have the potential to prevent or treat diabetic complications.
      
A Shell-model-like approach suggested to treat the pairing correlations in relativistic mean field theory is introduced, in which the occupancies thus obtained have been iterated back into the densities.
      
Partial portacaval shunt with H-grafts to treat portal hypertension
      
In general, it is extremely difficult to treat fulminant hepatitis by conservative regimen, particularly, in cases with rapid progression.
      
Percutaneous transhepatic biliary internal or external drainage was an effective and important method to treat MOJ.
      
It was shown that early PCI might be an effective and safe method to treat elderly patients with ACS.
      
The high-intensity pulsed ion beam (HIPIB) technique is developed to treat metallic and ceramic surfaces to improve materials performance.
      
Current dynamic procedures in large-eddy simulation treat the two subgrid-scale stresses in the Germano identity with the same subgrid base model.
      
Thus, inorganic-organic bentonite can be used to treat wastewater containing both organic pollutants and phosphate.
      
An aerobic sequencing batch biofilm reactor (SBBR) packed with Bauer rings was used to treat real domestic wastewater for simultaneous nitrification and denitrification.
      
To determine the impact of photosynthesis and transpiration on nitrogen removal in wetlands, an artificial wetland planted with reeds was constructed to treat highly concentrated domestic wastewater.
      
The pulsed SBR, a novel operational mode of SBR, was utilized to treat real municipal wastewater accompanied with adding ethanol as external carbon source.
      
Reverse osmosis system with the disc-tube module (DT-RO) was applied to treat landfill leachate on full scale at the Changshengqiao Sanitary Landfill, Chongqing City, China.
      
 

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