Homogeneously polyanalytic kernels on the unit ball and the Siegel domain

Autor: Leal-Pacheco, Christian Rene, Maximenko, Egor A., Ramos-Vazquez, Gerardo
Rok vydání: 2021
Předmět:
Zdroj: Complex Analysis and Operator Theory, 2021, volume 15, article number: 99
Druh dokumentu: Working Paper
DOI: 10.1007/s11785-021-01145-z
Popis: We prove that the homogeneously polyanalytic functions of total order $m$, defined by the system of equations $\overline{D}^{(k_1,\ldots,k_n)} f=0$ with $k_1+\cdots+k_n=m$, can be written as polynomials of total degree $Comment: 26 pages
Databáze: arXiv