Home
Generalized Analytic Automorphic Forms in Hypercomplex Spaces / Edition 1
Barnes and Noble
Generalized Analytic Automorphic Forms in Hypercomplex Spaces / Edition 1
Current price: $59.99
![Generalized Analytic Automorphic Forms in Hypercomplex Spaces / Edition 1](https://prodimage.images-bn.com/pimages/9783764370596_p0_v1_s600x595.jpg)
![Generalized Analytic Automorphic Forms in Hypercomplex Spaces / Edition 1](https://prodimage.images-bn.com/pimages/9783764370596_p0_v1_s600x595.jpg)
Barnes and Noble
Generalized Analytic Automorphic Forms in Hypercomplex Spaces / Edition 1
Current price: $59.99
Size: OS
Loading Inventory...
*Product information may vary - to confirm product availability, pricing, shipping and return information please contact Barnes and Noble
Hypercomplex analyticity generalizes the concept of complex analyticity in the sense of considering null-solutions to higher dimensional Cauchy-Riemann type systems. Vector- and Clifford algebra-valued Eisenstein and Poincaré series are constructed within this framework and a detailed description of their analytic and number theoretical properties is provided. In particular, explicit relationships to generalized variants of the Riemann zeta function and Dirichlet L-series are established and a concept of hypercomplex multiplication of lattices is introduced.
Applications to the theory of Hilbert spaces with reproducing kernels, to partial differential equations and index theory on some conformal manifolds are also described.