Complex Proofs of Real Theorems Book Information:

tended meditation on Hadamards famous dictum, the shortest and best way between two truths of the real domain often passes through the imaginary one, directed at an audience acquainted with analysis at the first year graduate level. It aims at illustrating how complex variables can be used to provide quick and efficient proofs of a wide variety of important results in such areas of analysis as approximation theory, operator theory, harmonic analysis and complex dynamics. Topics discussed include weighted approximation on the line, Mntzs theorem, Toeplitz operators, Beurlings theorem on the invariant spaces of the shift operator, prediction theory, the Riesz convexity theorem, the Paley Wiener theorem, the Titch marsh convolution theorem, the Gleason Kahane Zelazko theorem and the Fatou Julia Baker theorem. The discussion begins with the worlds shortest proof of the fundamental theorem of algebra and concludes with Newman's almost effortless proof of the prime number theorem. Four brief appendices provide all necessary background in complex analysis beyond the standard first year graduate course. Lovers of analysis and beautiful proofs will read and reread this slim volume with pleasure and profit.

• Book Type/Genre :

Society & Culture

• Book Binding :

Paperback

• Language :

English

• Number of Pages :

Page count varies on each edition/reprint

• ISBN - 10 :

• Complex Proofs of Real Theorems Published On :

2016

• Resource:

Society & Social Sciences, Society & Culture Book is recommended for Students, Teachers, Graduates, Professionals, and all bibliophiles

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