energy
发表于 2025-3-21 16:38:19
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CAPE
发表于 2025-3-21 21:12:55
A Structure Formula for Slice Monogenic Functions and Some of its Consequences, extend the validity of the functional calculus for .-tuples of noncommuting operators introduced in . In this wider setting, most of the properties which hold for the Riesz-Dunford functional calculus of a single operator, such as the Spectral Mapping Theorem and the Spectral Radius Theorem, still hold.
助记
发表于 2025-3-22 01:50:35
Hypermonogenic functions and their dual functions, nonzero the only function that is .-hypermonogenic function and dual hypermogenic is zero function..The theory of dual functions is very similar to the theory of hypermonogenic functions. We present their integral formula and use it to present the integral formula for (1 − n)-hypermonogenic functions.
Indebted
发表于 2025-3-22 06:00:51
Recent Developments for Regular Functions of a Hypercomplex Variable,pply 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), denoted . (0,3). The properties of these functions resemble those of holomorphic functions, and yet the different nature of the three algebras on which we work introduces new and exciting phenomena.
表否定
发表于 2025-3-22 12:45:24
Necessary and Sufficient Conditions for Associated Pairs in Quaternionic Analysis,rator . under which . is associated to the generalized Cauchy-Riemann operator of the Quaternionic Analysis are proved..This criterion makes it possible to construct the operator . for which the initial problem (1),(2) is solvable for an arbitrary initial regular function ϕ and the solution is also regular for each ..
轻快带来危险
发表于 2025-3-22 16:26:36
On Factorization of Bicomplex Meromorphic Functions,exists a bicomplex meromorphic function . such that . is prime even if the set: . is empty or of cardinality ie. for any non-constant fractional linear bicomplex function Ø. Moreover, as specific application, we obtain six additional possible forms of factorization of the complex cosine cos . in the bicomplex space.
构成
发表于 2025-3-22 19:44:10
Hilbert Transforms on the Sphere and Lipschitz Surfaces,nels, and the kernels of the inner and outer Hilbert transformations on the sphere are obtained. We also obtain Abel sum expansions of the kernels. The study serves as a justification of the methods in a series of papers of Brackx et al. based on their method for computation of a certain type of harmonic conjugates.
Nuance
发表于 2025-3-22 23:44:12
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Infraction
发表于 2025-3-23 01:47:52
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Dendritic-Cells
发表于 2025-3-23 08:46:56
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