Chun Kit Lai, McMaster University
"Fourier frames on general measure spaces"
Motivated
from
the
Fuglede
conjecture
and
the
discovery
of
exponential
orthonormal
basis
on
the
one-fourth
Cantor
measure,
but
not
for
the
one-third
one,
there
has
been
interest
in
understanding
the
kind
of
measures
that
admit
some
exponential
type
bases
and
their
relatives
such
as
Fourier
frames
and
Riesz
bases.
By
decomposing
the
measure
into
discrete,
singular
and
absolutely
continuous
part,
we
will
report
on
the
recent
progress
in
the
study
of
Fourier
frames
on
general
measure
spaces
by
studying
the
types
one
by
one.