Titlebook: Hypercomplex Analysis; Irene Sabadini,Michael Shapiro,Frank Sommen Conference proceedings 2009 Birkhäuser Basel 2009 Clifford algebra.Clif

arthroscopy

On Factorization of Bicomplex Meromorphic Functions,f one complex variable case are seen to hold in bicomplex case, and it is found that there are results for meromorphic functions of one complex variable which are not true for bicomplex meromorphic functions. In particular, we show that for any bicomplex transcendental meromorphic function ., there

舔食

Femish

A Structure Formula for Slice Monogenic Functions and Some of its Consequences, a key tool to prove several results, among which we mention the Cauchy integral formula with slice monogenic kernel. This Cauchy formula allows us to extend the validity of the functional calculus for .-tuples of noncommuting operators introduced in [6]. In this wider setting, most of the propertie

coddle

臆断

Hypermonogenic functions and their dual functions,ual .-hypermonogenic functions. If . = 0, then .-hypermonogenic functions are monogenic functions and their dual functions are also monogenic. If . is nonzero the only function that is .-hypermonogenic function and dual hypermogenic is zero function..The theory of dual functions is very similar to t

Asperity

Recent Developments for Regular Functions of a Hypercomplex Variable,opments consists in requiring a function to be holomorphic on suitable slices of the space on which the function itself is defined. Specifically, we apply this approach to functions defined on the space ℍ of quaternions, on the space . of octonions, and finally on the Clifford algebra of type (0,3),

Magnitude

Valves

Hyperderivatives in Clifford Analysis and Some Applications to the Cliffordian Cauchy-type Integral function and of the independent variable respectively. The directional derivative is introduced where a direction means a hyperplane in ℝ. for a Clifford algebra ..,.. The latter applies for obtaining a formula showing how to exchange the integral sign and the hyperderivative of the Cliffordian Cau

Mri485

Directional quaternionic hilbert operators,der left-regular functions in the kernel of the Cauchy-Riemann operator . Let J., J. be the complex structures on the tangent bundle of ” ≃ ℂ. defined by left multiplication by . and .. Let J.., J.. be the dual structures on the cotangent bundle and set J.. = J..J... For every complex structure .. =

苦涩

Hilbert Transforms on the Sphere and Lipschitz Surfaces,ns. We further define inner and outer Hilbert transformations on Lipschitz surfaces and prove their boundedness in .., where the range for the index . depends on the Lipschitz constant of the boundary surface. The inner and outer Poisson kernels, the Cauchy type conjugate inner and outer Poisson ker