지원사업
학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
커뮤니티
연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 경남대학교 기초과학연구소 Nonlinear Functional Analysis and Applications Nonlinear Functional Analysis and Applications Vol.23 No.1
- 발행연도
- 2018.3
- 수록면
- 63 - 72 (10page)
- DOI
- 10.22771/nfaa.2018.23.01.06
이용수
초록· 키워드
오류제보하기
We consider general base i_α and j_β which perform the roles of i and j do in quaternions. We give a representation and properties of a Fourier transformation of regular functions with values in generalized quaternions, referring the Fourier transformation using quaternions.
목차
등록된 정보가 없습니다.
참고문헌 (11)
참고문헌 신청
S.L. Adler / 1995 / Quaternionic quantum mechanics and quantum Oelds / Oxford university press inc
O.P. Agrawal / 1987 / Hamilton operators and dual-number-quaternions in spatial kinematics / Mech. Mach. Theory 22(6):569~575
M. Bahri / 2008 / An uncertainty principle for quaternion Fourier transform / Comp. Math. Appl 56(9):2398~2410
J. Cockle / 1849 / LII. On systems of algebra involving more than one imaginary; and on equations of the fifth degree / Lond. Edin. Dub. Phil. Mag. J. Sci 35(238):434~437
T.A. Ell / 1993 / Quaternion-Fourier transforms for analysis of two-dimensional linear timeinvariant partial differential systems / Decision and Control, Proc. 32nd IEEE Conf :1830~1841
O.P. Agrawal / 1987 / Hamilton operators and dual-number-quaternions in spatial kinematics / Mech. Mach. Theory 22(6):569~575
M. Bahri / 2008 / An uncertainty principle for quaternion Fourier transform / Comp. Math. Appl 56(9):2398~2410
J. Cockle / 1849 / LII. On systems of algebra involving more than one imaginary; and on equations of the fifth degree / Lond. Edin. Dub. Phil. Mag. J. Sci 35(238):434~437
T.A. Ell / 1993 / Quaternion-Fourier transforms for analysis of two-dimensional linear timeinvariant partial differential systems / Decision and Control, Proc. 32nd IEEE Conf :1830~1841
함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
Characterization of a regular function with values in dual quaternions
순수 및 응용수학
2015 .01
-
On hyperholomorphic $F^{\alpha}_{\omega,G}(p,q,s)$ spaces of quaternion valued functions
한국수학논문집
2018 .01
-
THE DERIVATIVE OF A DUAL QUATERNIONIC FUNCTION WITH VALUES IN DUAL QUATERNIONS
호남수학학술지
2015 .01
-
PROPERTIES OF FUNCTIONS WITH VALUES IN FIBONACCI QUATERNIONS IN CLIFFORD ANALYSIS
호남수학학술지
2016 .01
-
Relations of L-regular functions on quaternions in Clifford analysis
East Asian Mathematical Journal
2015 .01
-
DUAL QUATERNIONIC REGULAR FUNCTION OF DUAL QUATERNION VARIABLES
순수 및 응용수학
2016 .01
-
Conjugacy invariants of quaternion matrices
대한수학회논문집
2020 .01
-
Hypermeromorphy of functions on split quaternions in Clifford analysis
East Asian Mathematical Journal
2015 .01
-
Conic regular functions of conic quaternion variables in the sense of Clifford analysis
East Asian Mathematical Journal
2015 .01
-
Hyper-conjugate harmonic function of conic regular functions in conic quaternions
East Asian Mathematical Journal
2015 .01
-
From the Eisenhart Problem to Ricci Solitons in Quaternion Space Forms
Kyungpook Mathematical Journal
2018 .01
-
Cyclic complementary extensions via automorphisms of generalized quaternion groups
대한수학회보
2024 .09
-
On the transformation formula of the slice Bergman kernels in the quaternion variables
대한수학회보
2016 .01
-
CHARACTERIZATIONS OF SEVERAL SPLIT REGULAR FUNCTIONS ON SPLIT QUATERNION IN CLIFFORD ANALYSIS
East Asian Mathematical Journal
2017 .01
-
Determinantal expression of the general solution to a restricted system of quaternion matrix equations with applications
대한수학회보
2018 .01
-
Hybrid Color and Grayscale Images Encryption Scheme Based on Quaternion Hartley Transform and Logistic Map in Gyrator Domain
Current Optics and Photonics
2016 .02
-
A polar representation of a regularity of a dual quaternionic function in Clifford analysis
대한수학회보
2017 .01
-
A TYPE OF THE EXPONENTIAL OF A MATRIX OVER DUAL QUATERNION IN CLIFFORD ANALYSIS
Nonlinear Functional Analysis and Applications
2018 .09
-
SEVERAL PROPERTIES OF QUATERNIONIC REGULAR FUNCTIONS IN CLIFFORD ANALYSIS
호남수학학술지
2015 .01
-
ONE-DIMENSIONAL QUATERNION MELLIN TRANSFORM AND ITS APPLICATIONS
Proceedings of the Jangjeon Mathematical Society
2021 .01
이 논문의 저자 정보
최근 본 자료
댓글(0)
0