5,227 research outputs found
Wiener-Hopf operators on spaces of functions on R+ with values in a Hilbert space
A Wiener-Hopf operator on a Banach space of functions on R+ is a bounded
operator T such that P^+S_{-a}TS_a=T, for every positive a, where S_a is the
operator of translation by a. We obtain a representation theorem for the
Wiener-Hopf operators on a large class of functions on R+ with values in a
separable Hilbert space
Cables of thin knots and bordered Heegaard Floer homology
We use bordered Floer homology to give a formula for the knot Floer homology
of any (p, pn+1)-cable of a thin knot K in terms of Delta_K(t), tau(K), p, and
n. We also give a formula for the Ozsvath-Szabo concordance invariant tau(K_{p,
pn+1}) in terms of tau(K), p, and n, and a formula for tau(K_{p,q}) for almost
all relatively prime p and q.Comment: 29 pages, 7 figures; corrected minor mistakes and expanded expositio
Multipliers and Wiener-Hopf operators on weighted L^p spaces
We study the operators T on the weighted space L^p commuting either with the
right translations St or left translations P^+S_{-t} and we establish the
existence of a symbol of T. We characterize completely the spectrum of St. We
obtain a similar result for the spectrum of P^+S_{-t} and some spectral results
for the bounded operators commuting with (St), t>0 or with (P^+St), t<0
Fearless: Aleksandra Petkova
Consistently serving the campus community, conducting new research in psychology, and leading younger students to realizations about their own roles in fighting for social Justice, Aleksandra Petkova ’14 has fearlessly pursued opportunities to promote social change all four of her years here at Gettysburg
Combinatorial tangle Floer homology
In this paper we extend the idea of bordered Floer homology to knots and
links in : Using a specific Heegaard diagram, we construct gluable
combinatorial invariants of tangles in , and . The
special case of gives back a stabilized version of knot Floer homology.Comment: 106 pages, 44 figure
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