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Title Page 2 Preface 6 Contents 9 Introduction 11 Notation 13 Basic Axiomatic Framework of Interference Functions 14 Convexity, Concavity, and Logarithmic Convexity 15 Convex and Concave Interference Functions 15 Log-Convex Interference Functions 16 Examples Interference in Wireless Networks 17 Linear Interference Function 18 Beamforming 19 Receive Strategies 20 The Spectral Radius Indicator of Feasibility 21 Min-Max Balancing and Feasible Sets 22 Transmit Strategies and Duality 23 Robust Designs 24 Interference Functions in Other Contexts 25 Systems of Coupled Interference Functions 27 Combinations of Interference Functions 28 Interference Coupling 28 Asymptotic Coupling Matrix 29 The Dependency Matrix 30 Strict Monotonicity and Strict Log-Convexity 31 Standard Interference Functions and Power Control 33 Standard Interference Functions 33 Comparison between Standard Interference Functions and General Interference Functions 34 Continuity 36 Continuation on the Boundary 37 Continuity of Standard Interference Functions 38 QoS Regions, Feasibility, and Fixed Point Characterization 39 SIR-Based QoS Sets 39 Comprehensiveness 40 Fixed Point Characterization of Boundary Points 41

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EN