- 期刊
WAVELET TRANSFORMS IN GENERALIZED FOCK SPACES
摘要
A generalized Fock space is introduced as it was developed by Schmeelk [1-5], also Schmeelk and Takači [6-8]. The wavelet transform is then extended to this generalized Fock space. Since each component of a generalized Fock functional is a generalized function, the wavelet transform acts upon the individual entry much the same as was developed by Mikusinski and Mort [9] based upon earlier work of Mikusinski and Taylor [10]. It is then shown that the generalized wavelet transform applied to a member of our generalized Fock space produces a more appropriate functional for certain appfications.
延伸閱讀
- SCHMEELK, J. (1990). FOURIER TRANFORMS IN GENERALIZED FOCK SPACES. International Journal of Mathematics and Mathematical Sciences, 1990(), 431-441. https://doi.org/10.1155/S0161171290000655
- Cheung, Y. K. (1997). Some results in wavelet theory and their applications [master's thesis, The University of Hong Kong]. Airiti Library. https://www.airitilibrary.com/Article/Detail?DocID=U0029-1812201200006243
- Chuong, N. M., & Tri, T. N. (2002). THE INTEGRAL WAVELET TRANSFORM IN WEIGHTED SOBOLEV SPACES. Abstract and Applied Analysis, 2002(), 135-142. https://doi.org/10.1155/S1085337502000775
- ROOPKUMAR, R. (2003). WAVELET ANALYSIS ON A BOEHMIAN SPACE. International Journal of Mathematics and Mathematical Sciences, 2003(), 917-926-064. https://doi.org/10.1155/S0161171203205184
- Pacheco, J. R., Cruz, H. T., Domínguez, L. R., & Gonzalez, J. C. (2015). Generalized Wavelet Fisher's Information of 1/f^α Signals. Advances in Mathematical Physics, 2015(), 170-178. https://doi.org/10.1155/2015/210592