Application of Holomorphic Functions in Two and Higher Dimensions

1. Basic properties of holomorphic functions
Klaus Gürlebeck, Klaus Habetha, Wolfgang Sprößig

2. Conformal and quasi-conformal mappings
Klaus Gürlebeck, Klaus Habetha, Wolfgang Sprößig

3. Function theoretic function spaces
Klaus Gürlebeck, Klaus Habetha, Wolfgang Sprößig

4. Operator calculus
Klaus Gürlebeck, Klaus Habetha, Wolfgang Sprößig

5. Decompositions
Klaus Gürlebeck, Klaus Habetha, Wolfgang Sprößig

6. Some first-order systems of partial differential equations
Klaus Gürlebeck, Klaus Habetha, Wolfgang Sprößig

7. Boundary value problems for second-order partial differential equations
Klaus Gürlebeck, Klaus Habetha, Wolfgang Sprößig

8. Some initial-boundary value problems
Klaus Gürlebeck, Klaus Habetha, Wolfgang Sprößig

9. Riemann-Hilbert problems
Klaus Gürlebeck, Klaus Habetha, Wolfgang Sprößig

10. Initial-boundary value problems on the sphere
Klaus Gürlebeck, Klaus Habetha, Wolfgang Sprößig

11. Fourier transforms
Klaus Gürlebeck, Klaus Habetha, Wolfgang Sprößig

Keywords: Mathematics, Integral Transforms, Operational Calculus, Functions of a Complex Variable, Partial Differential Equations, Functional Analysis