Analysis IV: Integration and Spectral Theory, Harmonic by Roger Godement,Urmie Ray PDF

By Roger Godement,Urmie Ray

research quantity IV introduces the reader to sensible research (integration, Hilbert areas, harmonic research in team conception) and to the equipment of the speculation of modular features (theta and L sequence, elliptic services, use of the Lie algebra of SL2). As in volumes I to III, the inimitable kind of the writer is recognizable right here too, not just as a result of his refusal to put in writing within the compact type used these days in lots of textbooks. the 1st half (Integration), a smart mix of arithmetic acknowledged to be `modern' and `classical', is universally worthwhile while the second one half leads the reader in the direction of a truly lively and really expert box of analysis, with in all probability wide generalizations.

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Analysis IV: Integration and Spectral Theory, Harmonic Analysis, the Garden of Modular Delights: 4 (Universitext) by Roger Godement,Urmie Ray

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