# Operator symbols

## TL;DR

This paper investigates elliptic operators on manifolds with boundary and singular points, analyzing their Fredholm properties through a decomposition into simpler operators to understand their solvability.

## Contribution

It introduces a method to analyze Fredholm properties of complex elliptic operators by decomposing them into sums of simpler operators on manifolds with boundary and singularities.

## Key findings

- Fredholm property depends on each component operator in the sum
- Decomposition aids in understanding solvability conditions
- Applicable to elliptic operators on singular manifolds

## Abstract

We consider special elliptic operators in functional spaces on manifolds with a boundary which has some singular points. Such an operator can be represented by a sum of operators, and for a Fredholm property of an initial operator one needs a Fredholm property for an each operator from this sum.