Based on a third-year course for French students of physics, this book is a graduate text in functional analysis emphasizing applications to physics. It introduces Lebesgue integration, Fourier and Laplace transforms, Hilbert space theory, theory of distribution a la Laurent Schwartz, linear operators, and spectral theory. It contains numerous examples and completely worked out exercises.
Graduate and upper undergraduate students in mathematics and physics.
Measure and Integration. Lebesgue Spaces. Hilbert Spaces. Distributions. Linear Operators. References. Index.
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- © Academic Press 1990
- 25th October 1990
- Academic Press
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- Hardcover ISBN:
University of Illinois at Chicago, Laboratoire de Mathematique, Ecole de Physique et de Chimie, Paris France