Sökning: onr:"swepub:oai:DiVA.org:kth-277954" >
Diagonalization of ...
Diagonalization of the finite Hilbert transform on two adjacent intervals : the Riemann-Hilbert approach
-
- Bertola, Marco (författare)
- Concordia Univ, Dept Math & Stat, 1455 Maisonneuve W, Montreal, PQ H3G 1M8, Canada.;SISSA, Int Sch Adv Studies, Via Bonomea 265, Trieste, Italy.
-
- Blackstone, Elliot (författare)
- KTH,Matematik (Avd.),Dept Math, Lindstedtsvagen 25, S-11428 Stockholm, Sweden.
-
- Katsevich, Alexander (författare)
- Univ Cent Florida, Dept Math, POB 161364,4000 Cent Florida Blvd, Orlando, FL 32816 USA.
-
visa fler...
-
- Tovbis, Alexander (författare)
- Univ Cent Florida, Dept Math, POB 161364,4000 Cent Florida Blvd, Orlando, FL 32816 USA.
-
visa färre...
-
Concordia Univ, Dept Math & Stat, 1455 Maisonneuve W, Montreal, PQ H3G 1M8, Canada;SISSA, Int Sch Adv Studies, Via Bonomea 265, Trieste, Italy. Matematik (Avd.) (creator_code:org_t)
- 2020-06-10
- 2020
- Engelska.
-
Ingår i: Analysis and Mathematical Physics. - : Springer Nature. - 1664-2368 .- 1664-235X. ; 10:3
- Relaterad länk:
-
https://doi.org/10.1...
-
visa fler...
-
https://link.springe...
-
https://urn.kb.se/re...
-
https://doi.org/10.1...
-
visa färre...
Abstract
Ämnesord
Stäng
- In this paper we study the spectra of bounded self-adjoint linear operators that are related to finite Hilbert transforms H-L : L-2([b(L), 0]) -> L-2([0, b(R)]) and H-R : L-2([0, b(R)]) -> L-2([b(L), 0]). These operators arise when one studies the interior problem of tomography. The diagonalization of H-R, H-L has been previously obtained, but only asymptotically when b(L) not equal -b(R). We implement a novel approach based on the method of matrix Riemann-Hilbert problems (RHP) which diagonalizes H-R, H-L explicitly. We also find the asymptotics of the solution to a related RHP and obtain error estimates.
Ämnesord
- NATURVETENSKAP -- Matematik -- Matematisk analys (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Mathematical Analysis (hsv//eng)
Nyckelord
- Diagonalization of integral operators with continuous spectrum
- Finite Hilbert transforms on multi intervals
- Spectral theory of finite Hilbert transforms
- Riemann-Hilbert problem
- Asymptotics of hypergeometric functions
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
Hitta via bibliotek
Till lärosätets databas