Uses a natural, motivated and uncomplicated approach to introduce functional analysis. Contains detailed explanations of reasons of work and of methods, combined with numerous examples and counter-examples. Features remarks and notations at places which enable students to increase their knowledge by applying previous results or by presenting new material.

Functional Analysis

Science & Math

Jain, P.K.

Ahmad, Khalil

Ahuja, O. P.

Mathematics

Wiley-Interscience

The book starts with the basic concepts of topology and topological spaces followed by metric spaces, continuous functions, compactness, separation axioms, connectedness and product topology.

Introduction to Topology

Engineering & Transportation

Engineering

Alpha Science

DIFFERENTIAL GEOMETRY, FUNCTIONAL ANALYSIS AND APPLICATIONS discusses Submanifolds theory, Fibre bundle, Harmonic morphisms, Homogeneous and symmetric spaces, Structures on manifolds, Variational analysis, Fixed point theory, Operator theory, Fourier analysis, Wavelet analysis and Approximation theory. This volume will be of immense use to researchers and professionals working in the wide area of differential geometry, functional analysis and applications.

Differential Geometry, Functional Analysis and Applications

Shahid, Mohammad Hasan

Ahmad, Sharfuddin

Khan, M. Rais

Haider, Khursheed

Narosa Publishing House

This book presents the basic concepts of functional analysis, wavelet analysis and thresholding. It begins with an elementary chapter on preliminaries such as basic concepts of functional analysis, a brief tour of the wavelet transform, Haar scaling functions and function space, wavelets, symlets wavelets and coiflets wavelets. In turn, Chapters 2 and 3 address the construction of wavelet packets, selected results on wavelet packets, band-limited wavelet packets, characterisations of wavelet packets, multiresolution analysis (MRA) wavelet packets, pointwise convergence, the convergence of wavelet packet series and convolution bounds. Chapter 4 discusses characterisations of function spaces like Lebesgue spaces, Hardy spaces and Sobolev spaces in terms of wavelet packets, while Chapter 5 is devoted to applications of wavelets and wavelet packets in speech denoising and biomedical signals. In closing, Chapter 6 highlights applications of wavelets and wavelet packets in image denoising.

Wavelet Packets and Their Statistical Applications (Forum for Interdisciplinary Mathematics)

Computers & Technology

ABDULLAH

Computer Science

Springer

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Books by Ahmad, Khalil