Lebedev–Skalskaya Transform Related Continuous Wavelet Transform
摘要
We define the wavelet and the continuous wavelet transform in the framework of the Lebedev–Skalskaya transform (LSCWT) and discuss some operational results. Using these results, we obtain the Parseval’s type relation and a reconstruction formula for LSCWT. Moreover, we investigate the composition of LSCWTs and derive its Parseval’s type relation and reconstruction formula.