1 Table of Contents: “... -- The Calderón Reproducing Formula I -- The Calderón Reproducing Formula II -- The Calderón Reproducing Formula...”

2 Table of Contents: “...Part I: Trace and integral formulas 1 Bounded operators and pseudodifferential operators 2 Trace...”

3 Table of Contents: “... trace formula I....”

4 Table of Contents: “..., Regular Boundaries -- 1.5. Integration of Differential Forms of Degree 2. The Stokes Formula -- 1...”

5 Table of Contents: “... Fourier Integrals -- 1.3 Fourier Series and the Poisson Summation Formula -- 1.4 Mellin Transforms...”

6 Table of Contents: “.... The Atiyah-Singer Index Formula -- 1. Introduction to Algebraic Topology -- 2. The Index Formula...”

7 Table of Contents: “...I The Bochner-Martinelli-Koppelman Formula -- §1 Forms on Product Manifolds -- §2 The Complex...”

8 Table of Contents: “... Formula -- § 1. Generalized Taylor Expansions -- § 2. Eulerian Expansions of the Trigonometric Functions...”

9 Table of Contents: “...I. Hankel Transforms -- 1.1 General Formulas -- 1.2 Transforms of Order Zero -- 1.3 Transforms...”

10 Table of Contents: “...I. Laplace Transforms -- 1.1 General Formulas -- 1.2 Algebraic Functions -- 1.3 Powers of Arbitrary...”

11 Table of Contents: “...1. The history and significance of the Klein-Nishina formula (I. P´azsit) -- 2. Constructions...”

12 Table of Contents: “...XIV Taylor’s Formula -- 1. Taylor’s formula -- 2. Estimate for the remainder -- 3. Trigonometric...”

13 Table of Contents: “... Calculation -- • Index Calculations in Product Cones -- • Applications of Index Formulae - I --...”

14 Table of Contents: “... results -- 4. Examples -- References -- The KDV hierarchy and associated trace formulas -- 1. Introduction...”

15 Table of Contents: “...1 Introduction -- 1.1 The Holomorphic Lefschetz Fixed Point Formula -- 1.2 The Heat Kernel -- 1.3...”

16 Table of Contents: “... Formulas -- 1.9 Pseudo Resolvents -- 1.10 The Dual Semigroup -- 2 Spectral Properties and Regularity -- 2.1...”

17 Table of Contents: “... The characteristic equation -- 1.5 The fundamental solution -- 1.6 The variation-of-constants formula -- 1.7 Neutral...”

18 Table of Contents: “... -- 1.8 The Euler-Maclaurin Summation Formula -- 1.9 Exercises -- 2 Introduction to the Theory...”

19 Table of Contents: “... Spherical Coordinates -- 1.7 The Poisson Formula -- 1.8 What Has the Above Suggested? -- 1.9 The Symmetry...”

20 Table of Contents: “... of?; 1.3. Factorial Powers and Discrete Taylor Formulas; 1.4. Bernoulli Numbers and Polynomials; 1.5...”