• 1. Review of thin sets; 2. Approximation on compact sets; 3. Fusion of harmonic functions; 4. Approximation on relatively closed sets; 5. Carleman approximation; 6. Tangential approximation at infinity; 7. Subharmonic extension and approximation; 8. The Dirichlet problem with non-compact boundary; 9. Further applications.

"This monograph should make the main results and techniques of harmonic approximation, much of which has been developed in the last 20 years, more familiar to a wider circle of mathematicians." P. Lappan, Mathematical Reviews

• 1. Review of thin sets; 2. Approximation on compact sets; 3. Fusion of harmonic functions; 4. Approximation on relatively closed sets; 5. Carleman approximation; 6. Tangential approximation at infinity; 7. Subharmonic extension and approximation; 8. The Dirichlet problem with non-compact boundary; 9. Further applications.

"This monograph should make the main results and techniques of harmonic approximation, much of which has been developed in the last 20 years, more familiar to a wider circle of mathematicians." P. Lappan, Mathematical Reviews

• 1. Review of thin sets; 2. Approximation on compact sets; 3. Fusion of harmonic functions; 4. Approximation on relatively closed sets; 5. Carleman approximation; 6. Tangential approximation at infinity; 7. Subharmonic extension and approximation; 8. The Dirichlet problem with non-compact boundary; 9. Further applications.

"This monograph should make the main results and techniques of harmonic approximation, much of which has been developed in the last 20 years, more familiar to a wider circle of mathematicians." P. Lappan, Mathematical Reviews