An Introduction to Fourier Analysis and Generalised Functions

M. J. Lighthill (Autor)

Buch | Softcover

108 Seiten

1958
Cambridge University Press (Verlag)
9780521091282 (ISBN)

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This monograph on generalised functions, Fourier integrals and Fourier series is intended for readers who, while accepting that a theory where each point is proved is better than one based on conjecture, nevertheless seek a treatment as elementary and free from complications as possible. Little detailed knowledge of particular mathematical techniques is required; the book is suitable for advanced university students, and can be used as the basis of a short undergraduate lecture course. A valuable and original feature of the book is the use of generalised-function theory to derive a simple, widely applicable method of obtaining asymptotic expressions for Fourier transforms and Fourier coefficients.

1. Introduction; 2. The theory of generalised functions and their Fourier transforms; 3. Definitions, properties and Fourier transforms of particular generalised functions; 4. The asymptotic estimation of Fourier transforms; 5. Fourier series; Index.

Erscheint lt. Verlag	1.1.1958
Reihe/Serie	Cambridge Monographs on Mechanics
Zusatzinfo	Worked examples or Exercises
Verlagsort	Cambridge
Sprache	englisch
Maße	135 x 216 mm
Gewicht	150 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
ISBN-13	9780521091282 / 9780521091282
Zustand	Neuware