Sharp bounds for eigenvalues of biharmonic operators with complex potentials in low dimensions
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DOI: 10.1002/mana.202000196
Abstract: We derive sharp quantitative bounds for eigenvalues of biharmonic operators perturbed by complex‐valued potentials in dimensions one, two and three. read more here.
Keywords: bounds eigenvalues; operators complex; eigenvalues biharmonic; complex potentials ... See more keywords
Trace formulas for Schrödinger operators with complex potentials on a half line
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DOI: 10.1007/s11005-019-01210-x
Abstract: We consider Schrödinger operators with complex-valued decaying potentials on the half line. Such operator has essential spectrum on the half line plus eigenvalues (counted with algebraic multiplicity) in the complex plane without the positive half… read more here.
Keywords: operators complex; line; half line; dinger operators ... See more keywords
Parseval-Type Relations and $$L^p$$Lp-Inequalities for the Operators with Complex Gaussian Kernels
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DOI: 10.1007/s11785-016-0612-x
Abstract: In this paper we study new $$L^p$$Lp–boundedness properties for the integral transform with complex Gaussian kernel over $$L^p ({\mathbb {R}},(1+x^2)^{\alpha } dx)$$Lp(R,(1+x2)αdx), $$1\le p \le \infty $$1≤p≤∞, $$\alpha \in {\mathbb {R}}$$α∈R. We also obtain Parseval-type… read more here.
Keywords: operators complex; type relations; parseval type; inequalities operators ... See more keywords
Eigenvalue bounds for Stark operators with complex potentials
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DOI: 10.1090/tran/7873
Abstract: We consider the three-dimensional Stark operator perturbed by a complex-valued potential. We obtain an estimate for the number of eigenvalues of this operator as well as for the sum of imaginary parts of eigenvalues situated… read more here.
Keywords: operators complex; eigenvalue bounds; complex potentials; bounds stark ... See more keywords