Goodbye Soldier by Spike Milligan

Goodbye Soldier by Spike Milligan

This book presents a development of the basic facts about harmonic analysis on local fields and the n-dimensional vector spaces over these fields. It focuses almost exclusively on the analogy between the local field and Euclidean cases, with respect to the form of statements, the manner of proof, and the variety of applications.

The force of the analogy between the local field and Euclidean cases rests in the relationship of the field structures that underlie the respective cases. A complete classification of locally compact, non-discrete fields gives us two examples of connected fields (real and complex numbers); the rest are local fields (p-adic numbers, p-series fields, and their algebraic extensions). The local fields are studied in an effort to extend knowledge of the reals and complexes as locally compact fields.

The author's central aim has been to present the basic facts of Fourier analysis on local fields in an accessible form and in the same spirit as in Zygmund's Trigonometric Series (Cambridge, 1968) and in Introduction to Fourier Analysis on Euclidean Spaces by Stein and Weiss (1971).

Originally published in 1975.

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Spike Milligan was perhaps best known as one of the Goons. He went on to become one of Britain's foremost comic writers and performers. His bestselling titles include Adolf Hitler: My Part in His Downfall, Puckoon, and Where have all the Bullets Gone? He died in 2002. Larry Stephens was a scriptwriter who wrote for several popular comedy shows in the 1950s, including The Tony Hancock Show and The Army Game. He is probably best known as co-writer of many Goon Show episodes, along with Spike Milligan. He died in 1959. Maurice Wiltshire was a screenwriter and script editor who wrote for many television programs including The Army Game and HMS Paradise. He co-wrote several episodes of The Goon Show, as well as adapting 26 of the radio scripts for two series of a 15-minute television puppet show called The Telegoons. John Antrobus is a playwright and scriptwriter whose screen credits include The Frankie Howerd Show, Idle on Parade and That Was The Week That Was. With Spike Milligan, he co-wrote two Goon Show episodes--The Spon Plague and The Great Statue Debate--as well as a play, The Bed Sitting Room. He lives in Monaco.