Properties of Newton polynomials and Toeplitz operators on Newton spaces

In this paper, we study several properties of an orthonormal basis $\{N_{n}(z)\}$ { N n ( z ) } for the Newton space $N^{2}({\mathbb{P}})$ N 2 ( P ) . In particular, we investigate the product of $N_{m}$ N m and $N_{m}$ N m and the orthogonal projection P of $\overline{N_{n}}N_{m}$ N n ‾ N m that maps from $L^{2}(\mathbb{P})$ L 2 ( P ) onto $N^{2}(\mathbb{P})$ N 2 ( P ) . Moreover, we find the matrix representation of Toeplitz operators with respect to such an orthonormal basis on the Newton space $N^{2}({\mathbb{P}})$ N 2 ( P ) .

show abstract

scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.

Contact Info

customersupport@researchsolutions.com

10624 S. Eastern Ave., Ste. A-614

Henderson, NV 89052, USA

This site is protected by reCAPTCHA and the Google Privacy Policy and Terms of Service apply.

Blog Terms and Conditions API Terms Privacy Policy Contact Cookie Preferences Do Not Sell or Share My Personal Information

Made with 💙 for researchers

Part of the Research Solutions Family.

Properties of Newton polynomials and Toeplitz operators on Newton spaces

Cited by 2 publications

References 7 publications

Expansivity and Contractivity of Toeplitz Operators on Newton Spaces

Expansivity and Contractivity of Toeplitz Operators on Newton Spaces

Matrix representation of Toeplitz operators on Newton spaces

Contact Info

Product

Resources

About