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By Anders Vretblad (auth.), S. Axler, F. W. Gehring, K. A. Ribet (eds.)

This e-book offers the fundamental principles in Fourier research and its purposes to the examine of partial differential equations. It additionally covers the Laplace and Zeta changes and the fundaments in their purposes. the writer has meant to make his exposition obtainable to readers with a restricted history, for instance, these now not familiar with the Lebesgue essential or with analytic services of a fancy variable. while, he has integrated discussions of extra complicated themes equivalent to the Gibbs phenomenon, distributions, Sturm-Liouville conception, Cesaro summability and multi-dimensional Fourier research, themes which one frequently won't locate in books at this level.

Many of the chapters finish with a precis in their contents, in addition to a quick old be aware. The textual content incorporates a nice variety of examples, in addition to greater than 350 workouts. moreover, one of many appendices is a set of the formulation had to resolve difficulties within the field.

Anders Vretblad is Senior Lecturer of arithmetic at Uppsala college, Sweden.

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