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Distributions
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Distributions

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To fill a gap in the existing literature, Bhattacharyya (Indian Institute of Technology Delhi) offers a rigorous treatment of distributions and their applications, primarily to Sobolev spaces, in a simple style and form such that the proofs and results are understandable to the applied mathematics community in general, rather than to specialists in distributions. He also addresses some additional matters of interest to applied mathematicians, engineers, physicists, and others. His topics include Schwartz distributions; differentiation of distribution and application of distributional derivatives; derivatives of piecewise smooth functions, Green's formula, elementary solutions, and applications to Sobolev spaces; convolutions of distributions; and vector-valued distributions. Annotation c2012 Book News, Inc., Portland, OR (booknews.com)

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Pulin Kumar Bhattacharyya, Indian Institute of Technology Delhi, New Delhi, India.

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