Search Results - "Gesztesy, Fritz"

A Bessel Analog of the Riesz Composition Formula by Fischbacher, Christoph, Gesztesy, Fritz, Nichols, Roger

“…We provide an elementary derivation of the Bessel analog of the celebrated Riesz composition formula and use the former to effortlessly derive the latter…”
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A description of all self-adjoint extensions of the Laplacian and Kreĭn-type resolvent formulas on non-smooth domains by Gesztesy, Fritz, Mitrea, Marius

“…This paper has two main goals. First, we are concerned with a description of all self-adjoint extensions of the Laplacian in L 2 ( Ω ; d n x ). Here, the…”
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A Survey of Some Norm Inequalities by Gesztesy, Fritz, Nichols, Roger, Stanfill, Jonathan

“…We survey some classical norm inequalities of Hardy, Kallman, Kato, Kolmogorov, Landau, Littlewood, and Rota of the type ‖ A f ‖ X 2 ≤ C ‖ f ‖ X ‖ A 2 f ‖ X ,…”
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The Jacobi Operator on (-1,1) and Its Various m-Functions by Gesztesy, Fritz, Littlejohn, Lance L., Piorkowski, Mateusz, Stanfill, Jonathan

“…We offer a detailed treatment of spectral and Weyl–Titchmarsh–Kodaira theory for all self-adjoint Jacobi operator realizations of the differential expression τ…”
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A Sequence of Weighted Birman–Hardy–Rellich Inequalities with Logarithmic Refinements by Gesztesy, Fritz, Littlejohn, Lance L., Michael, Isaac, Pang, Michael M. H.

“…The principal aim of this paper is to extend Birman’s sequence of integral inequalities originally obtained in Mat. Sb. (N.S.) 55 (97), 125–174, (1961), and…”
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Weyl-Titchmarsh theory for Sturm-Liouville operators with distributional potentials by Eckhardt, Jonathan, Gesztesy, Fritz, Nichols, Roger, Teschl, Gerald

“…We systematically develop Weyl-Titchmarsh theory for singular differential operators on arbitrary intervals \((a,b) \subseteq \mathbb{R}\) associated with…”
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Spectral shift functions and Dirichlet-to-Neumann maps by Behrndt, Jussi, Gesztesy, Fritz, Nakamura, Shu

“…The spectral shift function of a pair of self-adjoint operators is expressed via an abstract operator-valued Titchmarsh–Weyl m -function. This general result…”
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Spectral ζ-functions and ζ-regularized functional determinants for regular Sturm–Liouville operators by Fucci, Guglielmo, Gesztesy, Fritz, Kirsten, Klaus, Stanfill, Jonathan

“…The principal aim in this paper is to employ a recently developed unified approach to the computation of traces of resolvents and ζ -functions to efficiently…”
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Optimality of constants in power-weighted Birman-Hardy-Rellich-Type inequalities with logarithmic refinements by Gesztesy, Fritz, Michael, Isaac, Pang, Michael M. H.

“…ABSTRACT The principal aim of this paper is to establish the optimality (i.e., sharpness) of the constants A(m, α) and B(m, α), m ∈ ℕ, α ∈ ℝ, of the form in…”
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On the Global Limiting Absorption Principle for Massless Dirac Operators by Carey, Alan, Gesztesy, Fritz, Kaad, Jens, Levitina, Galina, Nichols, Roger, Potapov, Denis, Sukochev, Fedor

“…We prove a global limiting absorption principle on the entire real line for free, massless Dirac operators H 0 = α · ( - i ∇ ) for all space dimensions n ∈ N ,…”
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Real-valued algebro-geometric solutions of the Camassa–Holm hierarchy by Gesztesy, Fritz, Holden, Helge

“…We provide a detailed treatment of real-valued, smooth and bounded algebro-geometric solutions of the Camassa–Holm (CH) hierarchy and describe the associated…”
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The product formula for regularized Fredholm determinants by Britz, Thomas, Carey, Alan, Gesztesy, Fritz, Nichols, Roger, Sukochev, Fedor, Zanin, Dmitriy

“…For trace class operators A, B \in \mathcal {B}_1(\mathcal {H}) ( \mathcal {H} a complex, separable Hilbert space), the product formula for Fredholm…”
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Coupling of symmetric operators and the third Green identity by Behrndt, Jussi, Derkach, Vladimir, Gesztesy, Fritz, Mitrea, Marius

“…The principal aim of this paper is to derive an abstract form of the third Green identity associated with a proper extension T of a symmetric operator S in a…”
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Heat kernel bounds for elliptic partial differential operators in divergence form with Robin-type boundary conditions II by GESZTESY, FRITZ, MITREA, MARIUS, NICHOLS, ROGER, OUHABAZ, EL MAATI

“…The principal aim of this short note is to extend a recent result on Gaussian heat kernel bounds for self-adjoint L2(Ω; dnx)-realizations, n ∈ ℕ, n ≥ 2, of…”
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Inverse spectral analysis with partial information on the potential, II. The case of discrete spectrum by Gesztesy, Fritz, Simon, Barry

“…We discuss results where the discrete spectrum (or partial information on the discrete spectrum) and partial information on the potential q of a…”
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The index formula and the spectral shift function for relatively trace class perturbations by Gesztesy, Fritz, Latushkin, Yuri, Makarov, Konstantin A., Sukochev, Fedor, Tomilov, Yuri

“…We compute the Fredholm index, index ( D A ) , of the operator D A = ( d / d t ) + A on L 2 ( R ; H ) associated with the operator path { A ( t ) } t = − ∞ ∞ ,…”
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Weyl--Titchmarsh M-Function Asymptotics, Local Uniqueness Results, Trace Formulas, and Borg-type Theorems for Dirac Operators by Clark, Steve, Gesztesy, Fritz

“…We explicitly determine the high-energy asymptotics for Weyl--Titchmarsh matrices associated with general Dirac-type operators on half-lines and on \mathbb{R}…”
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Generalized Polar Decompositions for Closed Operators in Hilbert Spaces and Some Applications by Gesztesy, Fritz, Malamud, Mark, Mitrea, Marius, Naboko, Serguei

“… We study generalized polar decompositions of densely defined closed linear operators in Hilbert spaces and provide some applications to relatively (form)…”
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Sturm–Liouville M-functions in terms of Green's functions by Gesztesy, Fritz, Nichols, Roger

“…The principal result of this paper is a reformulation of Weyl–Titchmarsh theory for (three-coefficient) regular and singular Sturm–Liouville operators for…”
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Addendum to: “Effective computation of traces, determinants, and ζ-functions for Sturm–Liouville operators” [J. Funct. Anal. 276 (2019) 520–562] by Gesztesy, Fritz, Kirsten, Klaus

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