Wavelet Theory (translations Of Mathematical Monographs)
by I. Ya. Novikov /
2011 / English / PDF
19.5 MB Download
Wavelet theory lies on the crossroad of pure and computational
mathematics, with connections to audio and video signal processing,
data compression, and information transmission. The present book is
devoted to a systematic exposition of modern wavelet theory. It
details the construction of orthogonal and biorthogonal systems of
wavelets and studies their structural and approximation properties,
starting with basic theory and ending with special topics and
problems. The book also presents some applications of wavelets.
Historical commentary is supplied for each chapter in the book, and
most chapters contain exercises. The book is intended for
professional mathematicians and graduate students working in
functional analysis and approximation theory. It is also useful for
engineers applying wavelet theory in their work. Prerequisites for
reading the book consist of graduate courses in real and functional
analysis.
Wavelet theory lies on the crossroad of pure and computational
mathematics, with connections to audio and video signal processing,
data compression, and information transmission. The present book is
devoted to a systematic exposition of modern wavelet theory. It
details the construction of orthogonal and biorthogonal systems of
wavelets and studies their structural and approximation properties,
starting with basic theory and ending with special topics and
problems. The book also presents some applications of wavelets.
Historical commentary is supplied for each chapter in the book, and
most chapters contain exercises. The book is intended for
professional mathematicians and graduate students working in
functional analysis and approximation theory. It is also useful for
engineers applying wavelet theory in their work. Prerequisites for
reading the book consist of graduate courses in real and functional
analysis.
