Using contemporary concepts, this book describes the interaction between Dirichlet series and holomorphic functions in high dimensions.

Over 100 years ago Harald Bohr identified a deep problem about the convergence of Dirichlet series, and introduced an ingenious idea relating Dirichlet series a

The second edition of the book includes a new chapter on the study of composition operators on the Hardy space and their complete characterization by Gordon and

In 1988, E. Verlinde gave a remarkable conjectural formula for the dimension of conformal blocks over a smooth curve in terms of representations of affine Lie a

This text, the second of two volumes, builds on the foundational material on ergodic theory and geometric measure theory provided in Volume I, and applies all t