This book is intended to serve as a textbook for graduate students of mathematics. It will also prove useful for the students of applied mathematics, industrial mathematics, statistics, operations research, computer science, engineering and biomedical sciences. The text begins with the introduction of Hilbert spaces, orthonormal systems and Fourier series. It is followed by Fourier transform, Gabor transform, Zak transform, wavelet transform, multiresolution analysis, construction of orthonormal financial mathematics, statistics, neural networks and biomedical sciences.

Author Biography

KHALIL AHMADDept of Mathematics, Jaaia Milia Islamia, New Delhi, IndiaFIRDOUS AHMAD SHAH Dept of Applied Mathematics, Baba Ghulam Shah Badshah University, India