Inhaltsangabe
1 Prelude.- 2 Khinchin structures.- 3 Concepts of unimodality.- 4 Khinchin's classical unimodality.- 5 Discrete unimodality.- 6 Strong unimodality.- 7 Positivity of functional moments.- Symbol index.- Name index.
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The central theme of this monograph is Khinchin-type representation theorems. An abstract framework for unimodality, an example of applied functional analysis, is developed for the introduction of different types of unimodality and the study of their behaviour. Also, several useful consequences or ramifications tied to these notions are provided. Being neither an encyclopaedia, nor a historical overview, this book aims to serve as an understanding of the basic features of unimodality. Audience: Both researchers and applied mathematicians in the field of unimodality will value this monograph, and it may be used in graduate courses or seminars on this subject too.
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