Abstract:
The purpose of this article is to construct harmonic analysis in a finitely-connected plane domain Ω+ bounded by n piecewise analytic curves Γ1,…,Γn,
n⋃k=1Γk=Γ=∂Ω+.
This publication is cited in the following 10 articles:
Vladimir A. Zolotarev, Lecture Notes in Mathematics, 2355, Analytic Methods of Spectral Representations of Non-Selfadjoint (Non-Unitary) Operators, 2025, 1
Fedorov S., Pavlov B., “A Remark on Discrete Wave Scattering”, J. Phys. A-Math. Gen., 39:11 (2006), 2657–2671
Zolotarev V., “A Functional Model for the Lie Algebra Sl(2, R) of Linear Non-Self-Adjoint Operators”, Operator Theory, System Theory and Related Topics: the Moshe Livsic Anniversary Volume, Operator Theory : Advances and Applications, 123, eds. Alpay D., Vinnikov V., Birkhauser Verlag Ag, 2001, 539–567
P. Kurasov, Operator Theory, System Theory and Related Topics, 2001, 413
Daniel Alpay, Victor Vinnikov, “Indefinite Hardy Spaces on Finite Bordered Riemann Surfaces”, Journal of Functional Analysis, 172:1 (2000), 221
Mikhail Sodin, Peter Yuditskii, “Almost periodic Jacobi matrices with homogeneous spectrum, infinite dimensional Jacobi inversion, and hardy spaces of character-automorphic functions”, J Geom Anal, 7:3 (1997), 387
A. K. Motovilov, “Representations for three-body $T$-matrix on unphysical sheets. I”, Theoret. and Math. Phys., 107:3 (1996), 784–806
A. K. Motovilov, “Reformulation of the Lax–Phillips approach in terms of stationary scattering theory”, Theoret. and Math. Phys., 98:2 (1994), 167–180
V. A. Zolotarev, “The Lax–Phillips scattering scheme on groups, and a functional model of a Lie algebra”, Russian Acad. Sci. Sb. Math., 76:1 (1993), 99–122