波动方程解的小波积分表示
Wavelet-based integral representation for solutions of the wave equation
摘要：
建立了波动方程解的积分表示，作为该方程其他解的叠加。来自广泛类的解决方案可以用作表示的构建块。考虑是基于连续小波分析的数学技术。从分布理论的观点证明了所得到的公式的正确性。并与G.皇帝被带走了。讨论了获得物理子波的方法。
英文摘要：
An integral representation of solutions of the wave equation as a superposition of other solutions of this equation is built. The solutions from a wide class can be used as building blocks for the representation. Considerations are based on mathematical techniques of continuous wavelet analysis. The formulas obtained are justified from the point of view of distribution theory. A comparison of the results with those by G. Kaiser is carried out. Methods of obtaining physical wavelets are discussed.
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