Moore-Penrose inverse of substitution integral operators on L2(Σ)-space

In this paper, we give an explicit formula for the Moore-Penrose inverse [Formula: see text] of a substitution integral operator [Formula: see text] on [Formula: see text] space. Subsequently, we determine the Hyers-Ulam stability constant for such operators in terms of the conditional expectation operator.

Authors

Institutions

Publication Details

Journal
Asian-European Journal of Mathematics
Published
2026-03-04
DOI
https://doi.org/10.1142/s1793557126500324
Primary Topic
Functional Equations Stability Results
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Moore-Penrose inverse of substitution integral operators on L2(Σ)-space

Zahra Moayyerizadeh
Asian-European Journal of Mathematics
Functional Equations Stability Results
article

Moore-Penrose inverse of substitution integral operators on L2(Σ)-space

Zahra Moayyerizadeh
article en

Abstract

In this paper, we give an explicit formula for the Moore-Penrose inverse [Formula: see text] of a substitution integral operator [Formula: see text] on [Formula: see text] space. Subsequently, we determine the Hyers-Ulam stability constant for such operators in terms of the conditional expectation operator.

Asian-European Journal of Mathematics
Twitter (United States) (US)
Openalex Percentile: Top 30%
Functional Equations Stability Results
DOISourceOpenAlex
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.