Research
I am a harmonic analyst in a broad sense of the term.
To quote Yitzhak Katznelzon's
An Introduction to Harmonic Analysis,
"harmonic analysis is the study of
objects (functions, measures, etc.) defined on topological
groups". I consider the term to be even more inclusive:
my research interests also include semigroups
and locally compact quantum groups as well as
objects associated with these.
My kind of harmonic analysis
intersects with theory of Banach algebras,
as many of the studied objects are Banach algebras.
On the other hand, theory of operator algebras
is often needed in practice,
especially when studying quantum groups.
Papers
Note: the journal links lead to the published versions,
the arXiv links to the arXived versions.

Pekka Salmi and Adam Skalski:
Idempotent states on locally compact quantum groups II,
to appear in
Quarterly Journal of Mathematics.
arXiv:1605.07338

Pekka Salmi and Adam Skalski:
Actions of locally compact (quantum) groups on ternary rings of
operators, their crossed products and generalized Poisson
boundaries, to appear in Kyoto Journal of Mathematics.
arXiv:1512.05654
 Matthias Neufang, Jan Pachl and Pekka Salmi:
Uniform equicontinuity, multiplier topology and continuity of
convolution, Archiv der Mathematik 104 (2015), 367376.
arXiv:1202.4350
 Pekka Salmi: Quasiactions and generalised CayleyAbels
graphs of locally compact groups,
Journal of Group Theory 18 (2015), 4560.
arXiv:1112.6415
 Pekka Salmi: Idempotent states on locally compact groups and quantum
groups,
Algebraic Methods in Functional Analysis,
The Victor Shulman Anniversary Volume,
Operator Theory: Advances and Applications, Vol. 233,
I. G. Todorov and L. Turowska (Eds.), pp. 155170,
Birkhäuser/Springer, Basel, 2014.
arXiv:1209.0314

Matthew Daws and Pekka Salmi:
Completely positive definite functions and Bochner's theorem
for locally compact quantum groups,
Journal of Functional Analysis 264 (2013) 15251546.
arXiv:1210.5231
 Matthias Neufang, Pekka Salmi, Adam Skalski and Nico Spronk:
Contractive idempotents on locally compact quantum groups,
Indiana University Mathematics Journal 62 (2013), 19832002.
arXiv:1209.6508

Pekka Salmi and Adam Skalski:
Inclusions of ternary rings of operators and conditional expectations,
Mathematical Proceedings of the Cambridge Philosophical Society
155 (2013), 475482.
arXiv:1209.4575
 Pekka Salmi: Subgroups and strictly closed invariant C*subalgebras.
arXiv:1110.5459

Pekka Salmi and Adam Skalski:
Idempotent states on locally compact quantum groups,
Quarterly Journal of Mathematics
63 (2012) 10091032.
arXiv:1102.2051
 Pekka Salmi:
Compact quantum subgroups and left invariant C*subalgebras of
locally compact quantum groups,
Journal of Functional Analysis 261 (2011) 124.
arXiv:1004.4161
 Pekka Salmi and Mahmoud Filali:
The size of the quotient LUC(G)/UC(G),
Forum Mathematicum 23 (2011) 539547.
 Pekka Salmi: Quantum semigroup compactifications and
uniform continuity on locally compact quantum groups,
Illinois Journal of Mathematics 54 (2010) 469483.
(local copy)
 Pekka Salmi:
Joint continuity of multiplication on the dual of the
left uniformly continuous functions, Semigroup Forum 80 (2010) 155163
 Pekka Salmi and Mahmoud Filali:
Slowly oscillating functions in semigroup
compactifications and convolution algebras,
Journal of Functional Analysis 250 (2007) 144166
 Pekka Salmi and Mahmoud Filali:
On onesided ideals and right cancellation
in the second dual of the group algebra and similar algebras,
Journal of the London Mathematical Society 75 (2007)
3546
 Pekka Salmi:
On the continuity of left translations in the LUCcompactification,
Topology and its Applications 153 (2005) 640646