Are PostgreSQL functions transactional?

Question

Is a PostgreSQL function such as the following automatically transactional?

CREATE OR REPLACE FUNCTION refresh_materialized_view(name)
  RETURNS integer AS
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Answer 1

In the function level, it is not transnational. In other words, each statement in the function belongs to a single transaction, which is the default db auto commit value. Auto commit is true by default. But anyway, you have to call the function using

select schemaName.functionName()

The above statement 'select schemaName.functionName()' is a single transaction, let's name the transaction T1, and so the all the statements in the function belong to the transaction T1. In this way, the function is in a single transaction.