The tracial moment problem on quadratic varieties

Bhardwaj, Abhishek; Zalar, Aljaž

doi:10.1016/j.jmaa.2021.124936

Journal of Mathematical Analysis and Applications

2021

DOI: 10.1016/j.jmaa.2021.124936

|View full text |Cite

The tracial moment problem on quadratic varieties

Abhishek Bhardwaj

Aljaž Zalar

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2022

2025

Publication Types

Select...

Article5

Relationship

Self Cite0

Independent5

Authors

Journals

Cited by 5 publications

References 41 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

The Truncated Moment Problem on Reducible Cubic Curves I: Parabolic and Circular Type Relations

Yoo,

Zalar

2024

Complex Anal. Oper. Theory

View full text Add to dashboard Cite

In this article we study the bivariate truncated moment problem (TMP) of degree 2k on reducible cubic curves. First we show that every such TMP is equivalent after applying an affine linear transformation to one of 8 canonical forms of the curve. The case of the union of three parallel lines was solved in Zalar (Linear Algebra Appl 649:186–239, 2022. https://doi.org/10.1016/j.laa.2022.05.008), while the degree 6 cases in Yoo (Integral Equ Oper Theory 88:45–63, 2017). Second we characterize in terms of concrete numerical conditions the existence of the solution to the TMP on two of the remaining cases concretely, i.e., a union of a line and a circle $$y(ay+x^2+y^2)=0, a\in {\mathbb {R}}{\setminus } \{0\}$$ y ( a y + x 2 + y 2 ) = 0 , a ∈ R \ { 0 } , and a union of a line and a parabola $$y(x-y^2)=0$$ y ( x - y 2 ) = 0 . In both cases we also determine the number of atoms in a minimal representing measure.

show abstract

The Truncated Moment Problem on Reducible Cubic Curves I: Parabolic and Circular Type Relations

Yoo,

Zalar

2024

Complex Anal. Oper. Theory

View full text Add to dashboard Cite

show abstract

The strong truncated Hamburger moment problem with and without gaps

Zalar¹

2022

Journal of Mathematical Analysis and Applications

View full text Add to dashboard Cite

The truncated moment problem on the union of parallel lines

Zalar

2022

Linear Algebra and its Applications

View full text Add to dashboard Cite

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.

The tracial moment problem on quadratic varieties

Cited by 5 publications

References 41 publications

The Truncated Moment Problem on Reducible Cubic Curves I: Parabolic and Circular Type Relations

The Truncated Moment Problem on Reducible Cubic Curves I: Parabolic and Circular Type Relations

The strong truncated Hamburger moment problem with and without gaps

The truncated moment problem on the union of parallel lines

Contact Info

Product

Resources

About