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Total Positivity and Its Applications

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Cover of 'Total Positivity and Its Applications'

Table of Contents

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    Book Overview
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    Chapter 1 Total Positivity of the Spline Kernel and its Applications
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    Chapter 2 Total Positivity Properties of LB-splines
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    Chapter 3 Total Positivity and Splines
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    Chapter 4 Totally Positive Systems and Interpolation by Subspaces of Generalized Splines
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    Chapter 5 Preservation of Total Nonnegativity under the Hadamard Product and Related Topics
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    Chapter 6 Vertex Implications for Totally Nonnegative Matrices
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    Chapter 7 On Factorizations of Totally Positive Matrices
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    Chapter 8 Total positivity and optimal bases
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    Chapter 9 Total Positivity and the Shape of Curves
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    Chapter 10 Tchebycheff Curves
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    Chapter 11 Analytical and Probabilistic Methods for Totally Positive Matrices
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    Chapter 12 Some Inequalities of Total Positivity in Pure and Applied Mathematics
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    Chapter 13 New Directions and Problems of Multivariate Total Positivity Motivated by Genetic Recombination Probabilities
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    Chapter 14 Tchebycheff spaces and total positivity
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    Chapter 15 Čebyšev and Weak Čebyšev Systems
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    Chapter 16 Zero Sets of Entire Fourier Transforms of Multiply Positive Density Functions
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    Chapter 17 Total Nonnegativity of Moment Matrices and its Application to E-Optimal Designs in Polynomial Regression
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    Chapter 18 Analysis of Regression Dependence in 2 × n Bivariate Distributions And Some Applications in Contingency Tables
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    Chapter 19 Total Positivity and Nonlinear Analysis
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    Chapter 20 Solutions of certain functional equations
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    Chapter 21 Alternance and Snakes in the Nonlinear Finite Moment Problem
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    Chapter 22 The Applications of Total Positivity to Combinatorics, and Conversely
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    Chapter 23 Spectral Properties of Totally Positive Kernels and Matrices
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Title
Total Positivity and Its Applications
Published by
Springer Netherlands, March 2013
DOI 10.1007/978-94-015-8674-0
ISBNs
978-9-04-814667-3, 978-9-40-158674-0
Editors

Gasca, Mariano, Micchelli, Charles A.

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