Integral kernels for k-hypermonogenic functions

Vesa Vuojamo; Sirkka-Liisa Eriksson

doi:10.1080/17476933.2016.1250402

Integral kernels for k-hypermonogenic functions

Vesa Vuojamo^*
, Sirkka-Liisa Eriksson

^*Tämän työn vastaava kirjoittaja

Tutkimustuotos: Artikkeli › Tieteellinen › vertaisarvioitu

7 Sitaatiot (Scopus)

Abstrakti

We consider the modified Cauchy–Riemann operator (Formula presented.) in the universal Clifford algebra (Formula presented.) with the basis (Formula presented.). The null-solutions of this operator are called k-hypermonogenic functions. We calculate the k-hyperbolic harmonic fundamental solutions, i.e. solutions to (Formula presented.), and use these solutions to find k-hypermonogenic kernels for a Cauchy-type integral formula in the upper half-space.

Alkuperäiskieli	Englanti
Sivut	1-12
Sivumäärä	12
Julkaisu	Complex Variables and Elliptic Equations
Vuosikerta	62
Numero	9
Varhainen verkossa julkaisun päivämäärä	21 helmik. 2017
DOI - pysyväislinkit	https://doi.org/10.1080/17476933.2016.1250402
Tila	Julkaistu - 2017
OKM-julkaisutyyppi	A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä

Julkaisufoorumi-taso

Jufo-taso 1

!!ASJC Scopus subject areas

Analysis
Numerical Analysis
Computational Mathematics
Applied Mathematics

Pääsy asiakirjaan

10.1080/17476933.2016.1250402

Siteeraa tätä

@article{b82d3e0b038a4b38a1b1768502f4e2a7,

title = "Integral kernels for k-hypermonogenic functions",

abstract = "We consider the modified Cauchy–Riemann operator (Formula presented.) in the universal Clifford algebra (Formula presented.) with the basis (Formula presented.). The null-solutions of this operator are called k-hypermonogenic functions. We calculate the k-hyperbolic harmonic fundamental solutions, i.e. solutions to (Formula presented.), and use these solutions to find k-hypermonogenic kernels for a Cauchy-type integral formula in the upper half-space.",

keywords = "Cauchy integral formula, Clifford algebra, hyperbolic Laplace–Beltrami, k-hyperbolic harmonic, k-hypermonogenic",

author = "Vesa Vuojamo and Sirkka-Liisa Eriksson",

note = "EXT={"}Eriksson, Sirkka-Liisa{"}",

year = "2017",

doi = "10.1080/17476933.2016.1250402",

language = "English",

volume = "62",

pages = "1--12",

journal = "Complex Variables and Elliptic Equations",

issn = "1747-6933",

publisher = "Taylor and Francis Ltd.",

number = "9",

}

TY - JOUR

T1 - Integral kernels for k-hypermonogenic functions

AU - Vuojamo, Vesa

AU - Eriksson, Sirkka-Liisa

N1 - EXT="Eriksson, Sirkka-Liisa"

PY - 2017

Y1 - 2017

N2 - We consider the modified Cauchy–Riemann operator (Formula presented.) in the universal Clifford algebra (Formula presented.) with the basis (Formula presented.). The null-solutions of this operator are called k-hypermonogenic functions. We calculate the k-hyperbolic harmonic fundamental solutions, i.e. solutions to (Formula presented.), and use these solutions to find k-hypermonogenic kernels for a Cauchy-type integral formula in the upper half-space.

AB - We consider the modified Cauchy–Riemann operator (Formula presented.) in the universal Clifford algebra (Formula presented.) with the basis (Formula presented.). The null-solutions of this operator are called k-hypermonogenic functions. We calculate the k-hyperbolic harmonic fundamental solutions, i.e. solutions to (Formula presented.), and use these solutions to find k-hypermonogenic kernels for a Cauchy-type integral formula in the upper half-space.

KW - Cauchy integral formula

KW - Clifford algebra

KW - hyperbolic Laplace–Beltrami

KW - k-hyperbolic harmonic

KW - k-hypermonogenic

U2 - 10.1080/17476933.2016.1250402

DO - 10.1080/17476933.2016.1250402

M3 - Article

AN - SCOPUS:85013192611

SN - 1747-6933

VL - 62

SP - 1

EP - 12

JO - Complex Variables and Elliptic Equations

JF - Complex Variables and Elliptic Equations

IS - 9

ER -

Integral kernels for k-hypermonogenic functions

Abstrakti

Julkaisufoorumi-taso

!!ASJC Scopus subject areas

Pääsy asiakirjaan

Sormenjälki

Siteeraa tätä