TY - GEN

T1 - Multi Mq-monogenic function in different dimension

AU - Ariza, Eusebio

AU - Di Teodoro, Antonio

N1 - Publisher Copyright:
© 2014 Springer International Publishing Switzerland.

PY - 2014

Y1 - 2014

N2 - A metamonogenic of first-order function or simply metamonogenic function is a function that satisfies the differential equation (D - λ)u = 0, where D is the Cauchy-Riemann operator and λ can be real or Cliffordvalued constant (see [4]). Using this definition we can say that a multimetamonogenic function u is separately metamonogenic in several variables x(j), j = 1, ⋯, n with n ≥ 2, if x(j) = (x(j)1, ⋯, x(j)mj) runs in the Euclidean space ℝmj and (Dj - λ)u = 0, for each j = 1, ⋯, n, where Dj is the corresponding Cauchy-Riemann operator in the space ℝmj. Using the theory of algebras of Clifford type depending on parameters (see [11, 12]), the present proposal discusses the properties of u in case the dimensions mj are different from each other for multi Mq-monogenic functions, following the ideas exhibited in [9, 10].

AB - A metamonogenic of first-order function or simply metamonogenic function is a function that satisfies the differential equation (D - λ)u = 0, where D is the Cauchy-Riemann operator and λ can be real or Cliffordvalued constant (see [4]). Using this definition we can say that a multimetamonogenic function u is separately metamonogenic in several variables x(j), j = 1, ⋯, n with n ≥ 2, if x(j) = (x(j)1, ⋯, x(j)mj) runs in the Euclidean space ℝmj and (Dj - λ)u = 0, for each j = 1, ⋯, n, where Dj is the corresponding Cauchy-Riemann operator in the space ℝmj. Using the theory of algebras of Clifford type depending on parameters (see [11, 12]), the present proposal discusses the properties of u in case the dimensions mj are different from each other for multi Mq-monogenic functions, following the ideas exhibited in [9, 10].

KW - Clifford algebras

KW - Clifford type depending on parameters

KW - Metamonogenic function

KW - Monogenic function

KW - Multi Mq-monogenic functions

KW - Multi-metamonogenic function

UR - http://www.scopus.com/inward/record.url?scp=84959164291&partnerID=8YFLogxK

U2 - 10.1007/978-3-319-08771-9_4

DO - 10.1007/978-3-319-08771-9_4

M3 - Contribución a la conferencia

AN - SCOPUS:84959164291

SN - 9783319087702

T3 - Trends in Mathematics

SP - 61

EP - 73

BT - Hypercomplex Analysis

A2 - Bernstein, Swanhild

A2 - Kähler, Uwe

A2 - Sabadini, Irene

A2 - Sommen, Frank

PB - Springer International Publishing

T2 - 9th International ISAAC Congress on International Society for Analysis, its Applications, and Computations, 2013

Y2 - 5 August 2013 through 9 August 2013

ER -