{"product_id":"generalized-analytic-automorphic-forms-in-hypercomplex-spaces-von-rolf-s-krausshar","title":"Generalized Analytic Automorphic Forms in Hypercomplex Spaces","description":"\n                                \n                \u003cp\u003eThis book describes the basic theory of hypercomplex-analytic automorphic forms and functions for arithmetic subgroups of the Vahlen group in higher dimensional spaces.\u003c\/p\u003e\n                                \n                \n                \u003cp\u003eHypercomplex 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. \u003c\/p\u003e\n                                \n                \n                \u003cp\u003eApplications to the theory of Hilbert spaces with reproducing kernels, to partial differential equations and index theory on some conformal manifolds are also described.\u003c\/p\u003e\n                            \n            \u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783764370596\"\u003e\u003ch3\u003e\u003c\/h3\u003e\u003c\/div\u003e","brand":"Autorenwelt Shop","offers":[{"title":"Softcover - 9783764370596","offer_id":49592978702661,"sku":"9783764370596","price":58.84,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/ffc19056-3f0f-429d-9090-0c675c5af08a.jpg?v=1772174180","url":"https:\/\/shop.autorenwelt.de\/products\/generalized-analytic-automorphic-forms-in-hypercomplex-spaces-von-rolf-s-krausshar","provider":"Autorenwelt Shop","version":"1.0","type":"link"}