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Titlebook: Harmonic Function Theory; Sheldon Axler,Paul Bourdon,Wade Ramey Textbook 2001Latest edition Springer Science+Business Media New York 2001

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书目名称Harmonic Function Theory
编辑Sheldon Axler,Paul Bourdon,Wade Ramey
视频video
丛书名称Graduate Texts in Mathematics
图书封面Titlebook: Harmonic Function Theory;  Sheldon Axler,Paul Bourdon,Wade Ramey Textbook 2001Latest edition Springer Science+Business Media New York 2001
描述This is a book about harmonic functions in Euclidean space. Readers with a background in real and complex analysis at the beginning graduate level will feel comfortable with the material presented here. The authors have taken unusual care to motivate concepts and simplify proofs. Topics include: basic properties of harmonic functions, Poisson integrals, the Kelvin transform, spherical harmonics, harmonic Hardy spaces, harmonic Bergman spaces, the decomposition theorem, Laurent expansions, isolated singularities, and the Dirichlet problem. The new edition contains a completely rewritten chapter on spherical harmonics, a new section on extensions of Bocher‘s Theorem, new exercises and proofs, as well as revisions throughout to improve the text. A unique software package-designed by the authors and available by e-mail - supplements the text for readers who wish to explore harmonic function theory on a computer.
出版日期Textbook 2001Latest edition
关键词Harmonic Function Theory; Harmonic Functions; Complex analysis; integral; integration; Poisson integral
版次2
doihttps://doi.org/10.1007/978-1-4757-8137-3
isbn_ebook978-1-4757-8137-3Series ISSN 0072-5285 Series E-ISSN 2197-5612
issn_series 0072-5285
copyrightSpringer Science+Business Media New York 2001
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Sheldon Axler,Paul Bourdon,Wade Ramey) allows the user to consider both aspects using two sets of weights. In this chapter we describe an extension of the WOWA operator to the continuous case after arguing its convenience. Then, we analyze the use of this operator for defuzzification.
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85) and Schmitz (1977). The works of the named authors deal with the same axioms, but their interpretations are different. It comes from the fact that Arrow’s model assumes finite, and the others infinite, set of individuals.
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Textbook 2001Latest edition on spherical harmonics, a new section on extensions of Bocher‘s Theorem, new exercises and proofs, as well as revisions throughout to improve the text. A unique software package-designed by the authors and available by e-mail - supplements the text for readers who wish to explore harmonic function theory on a computer.
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Sheldon Axler,Paul Bourdon,Wade Rameyategic manipulation of its preference information to get its preferred alternative. A mechanism based upon the use of an importance weighting is then suggested for modifying the construction of the group decision function to defend against strategic manipulation.
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