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From the Preface by V. S. VARADARAJAN:  "These volumes of the Collected Papers of Harish-Chandra are being brought out in response to a widespread feeling in the mathematical community that they wo...

This book is designed to be an introductory course to some basic chapters of Advanced Mathematics for Engineering and Physics students, researchers in different branches of Applied Mathematics and ...

Examining the basic principles in real analysis and their applications, this text provides a self-contained resource for graduate and advanced undergraduate courses. It contains independent chapter...

The theory of generalized functions is a general method that makes it possible to consider and compute divergent integrals, sum divergent series, differentiate discontinuous functions, perform the ...

This text on the interdisciplinary field of synergetics will be of interest to students and scientists in physics, chemistry, mathematics, biology, electrical, civil and mechanical engineering, and...

This is a very lucid introduction to spectral methods emphasizing the mathematical aspects of the theory rather than the many applications in numerical analysis and the engineering sciences. The fi...

The Hardy-Littlewood circle method was invented over a century ago to study integer solutions to special Diophantine equations, but it has since proven to be one of the most successful all-purpose ...

Problems and Solutions

The theory of Laplace transformation is an important part of the mathematical background required for engineers, physicists and mathematicians. Laplace transformation methods provide easy and effec...

Hilbert space background -- Small eigen values.- The fourier transform theorem.- The fourier series theorem.- Hilbert space theory -- Large eigen values.- The fourier series and fourier transform t...

Volume III: Harmonic Analysis and Spectral Theory

Since the advent of the laser, coherent optics has developed at an ever increasing pace. There is no doubt about the reason. Coherent light, with its properties so different from the light we are s...

Functional Analysis is a comprehensive, 2-volume treatment of a subject lying at the core of modern analysis and mathemati- cal physics. The first volume reviews basic concepts such as the measure,...

Analyse harmonique des mesures non bornees sur les groupes abeliens localement compacts.- Fiber bundle structures and harmonic analysis of compact heisenberg manifolds.- Unions of sets of interpola...

I. Multiple Fourier Series and Fourier Integrals.- II. Methods of the Theory of Singular Integrals: Littlewood-Paley Theory and Its Applications.- III. Exceptional Sets in Harmonic Analysis.- Autho...