REPRESENTATION THEOREM FOR MULTIVARIABLE TOTALLY SYMMETRIC FUNCTIONS*
Publication
, Journal Article
Chen, C; Chen, Z; Lu, J
Published in: Communications in Mathematical Sciences
January 1, 2024
In this work, we establish a representation theorem for multivariable totally symmetric functions: a multisymmetric continuous function must be the composition of a continuous function and a set of generators of the multisymmetric polynomials. We then study the singularity and geometry of the generators, and show that the regularity may become worse after applying the decomposition.
Duke Scholars
Published In
Communications in Mathematical Sciences
DOI
EISSN
1945-0796
ISSN
1539-6746
Publication Date
January 1, 2024
Volume
22
Issue
5
Start / End Page
1195 / 1201
Related Subject Headings
- Applied Mathematics
- 4904 Pure mathematics
- 4901 Applied mathematics
- 1502 Banking, Finance and Investment
- 0102 Applied Mathematics
- 0101 Pure Mathematics
Citation
APA
Chicago
ICMJE
MLA
NLM
Chen, C., Chen, Z., & Lu, J. (2024). REPRESENTATION THEOREM FOR MULTIVARIABLE TOTALLY SYMMETRIC FUNCTIONS*. Communications in Mathematical Sciences, 22(5), 1195–1201. https://doi.org/10.4310/CMS.2024.V22.N5.A2
Chen, C., Z. Chen, and J. Lu. “REPRESENTATION THEOREM FOR MULTIVARIABLE TOTALLY SYMMETRIC FUNCTIONS*.” Communications in Mathematical Sciences 22, no. 5 (January 1, 2024): 1195–1201. https://doi.org/10.4310/CMS.2024.V22.N5.A2.
Chen C, Chen Z, Lu J. REPRESENTATION THEOREM FOR MULTIVARIABLE TOTALLY SYMMETRIC FUNCTIONS*. Communications in Mathematical Sciences. 2024 Jan 1;22(5):1195–201.
Chen, C., et al. “REPRESENTATION THEOREM FOR MULTIVARIABLE TOTALLY SYMMETRIC FUNCTIONS*.” Communications in Mathematical Sciences, vol. 22, no. 5, Jan. 2024, pp. 1195–201. Scopus, doi:10.4310/CMS.2024.V22.N5.A2.
Chen C, Chen Z, Lu J. REPRESENTATION THEOREM FOR MULTIVARIABLE TOTALLY SYMMETRIC FUNCTIONS*. Communications in Mathematical Sciences. 2024 Jan 1;22(5):1195–1201.
Published In
Communications in Mathematical Sciences
DOI
EISSN
1945-0796
ISSN
1539-6746
Publication Date
January 1, 2024
Volume
22
Issue
5
Start / End Page
1195 / 1201
Related Subject Headings
- Applied Mathematics
- 4904 Pure mathematics
- 4901 Applied mathematics
- 1502 Banking, Finance and Investment
- 0102 Applied Mathematics
- 0101 Pure Mathematics