Nicolas Lerner is professor at Sorbonne Université (formerly Université Paris VI). He has written several articles on Carleman estimates and a book on pseudo-differential operators. He was an invited section speaker at the 2002 ICM in Beijing.

• 1 Prolegomena.- 2 A Toolbox for Carleman Inequalities.- 3 Operators with Simple Characteristics: Calderon's Theorems.- 4 Pseudo-convexity: Hormander's Theorems.- 5 Complex Coefficients and Principal Normality.- 6 On the Edge of Pseudo-convexity.- 7 Operators with Partially Analytic Coefficients.- 8 Strong Unique Continuation Properties for Elliptic Operators.- 9 Carleman Estimates via Brenner's Theorem and Strichartz Estimates.- 10 Elliptic Operators with Jumps; Conditional Pseudo-convexity.- 11 Perspectives and Developments.- A Elements of Fourier Analysis.- B Miscellanea.- References.- Index.

Nicolas Lerner is professor at Sorbonne Université (formerly Université Paris VI). He has written several articles on Carleman estimates and a book on pseudo-differential operators. He was an invited section speaker at the 2002 ICM in Beijing.

• 1 Prolegomena.- 2 A Toolbox for Carleman Inequalities.- 3 Operators with Simple Characteristics: Calderon's Theorems.- 4 Pseudo-convexity: Hormander's Theorems.- 5 Complex Coefficients and Principal Normality.- 6 On the Edge of Pseudo-convexity.- 7 Operators with Partially Analytic Coefficients.- 8 Strong Unique Continuation Properties for Elliptic Operators.- 9 Carleman Estimates via Brenner's Theorem and Strichartz Estimates.- 10 Elliptic Operators with Jumps; Conditional Pseudo-convexity.- 11 Perspectives and Developments.- A Elements of Fourier Analysis.- B Miscellanea.- References.- Index.

Nicolas Lerner is professor at Sorbonne Université (formerly Université Paris VI). He has written several articles on Carleman estimates and a book on pseudo-differential operators. He was an invited section speaker at the 2002 ICM in Beijing.

• 1 Prolegomena.- 2 A Toolbox for Carleman Inequalities.- 3 Operators with Simple Characteristics: Calderon's Theorems.- 4 Pseudo-convexity: Hormander's Theorems.- 5 Complex Coefficients and Principal Normality.- 6 On the Edge of Pseudo-convexity.- 7 Operators with Partially Analytic Coefficients.- 8 Strong Unique Continuation Properties for Elliptic Operators.- 9 Carleman Estimates via Brenner's Theorem and Strichartz Estimates.- 10 Elliptic Operators with Jumps; Conditional Pseudo-convexity.- 11 Perspectives and Developments.- A Elements of Fourier Analysis.- B Miscellanea.- References.- Index.