Periodic orthonormal quasi-wavelet bases

【摘要】 <正> It is well known that many objects and problerns in mathematics or in mathematic physicshave property of periodicity. For example, in solving some differential equations intwo-dimensional domain, we can reduce them to periodic problems of various orthonormalwavelet bases in various spaces. In recent years, the study of periodic wavelets presentsactive tendency. For the purpose of varieties of applications, the author constructedthe periodic orthonormal quasi-wavelet bases in different spline spaces, for instanee, the pe-riodic polynomial spline functions, the spline functions on the circle (of complex variable更多还原