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Integrable Systems and Riemann Surfaces of Infinite Genus
Language: en
Pages: 127
Authors: Martin Ulrich Schmidt
Categories: Mathematics
Type: BOOK - Published: 1996 - Publisher: American Mathematical Soc.

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This memoir develops the spectral theory of the Lax operators of nonlinear Schrödinger-like partial differential equations with periodic boundary conditions. T
Riemann Surfaces of Infinite Genus
Language: en
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Authors: Joel S. Feldman
Categories: Mathematics
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In this book, the authors geometrically construct Riemann surfaces of infinite genus by pasting together plane domains and handles. To achieve a meaningful gene
Generalized Minkowski Content, Spectrum of Fractal Drums, Fractal Strings and the Riemann Zeta-Functions
Language: en
Pages: 114
Authors: Christina Q. He
Categories: Mathematics
Type: BOOK - Published: 1997 - Publisher: American Mathematical Soc.

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This memoir provides a detailed study of the effect of non power-like irregularities of (the geometry of) the fractal boundary on the spectrum of "fractal drums
Orders of a Quartic Field
Language: en
Pages: 90
Authors: Jin Nakagawa
Categories: Mathematics
Type: BOOK - Published: 1996 - Publisher: American Mathematical Soc.

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In this book, the author studies the Dirichlet series whose coefficients are the number of orders of a quartic field with given indices. Nakagawa gives an expli
Symmetric Automorphisms of Free Products
Language: en
Pages: 113
Authors: Darryl McCullough
Categories: Mathematics
Type: BOOK - Published: 1996 - Publisher: American Mathematical Soc.

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The authors construct a complex [italic capital]K([italic capital]G) on which the automorphism group of [italic capital]G acts and use it to derive finiteness c