Spectral Theory and Operators in Mathematical Physics

Articles (41 in this collection)

1. The Jacobi Operator on \((-1,1)\) and Its Various m-Functions

   Authors (first, second and last of 4)

   • Fritz Gesztesy
   • Lance L. Littlejohn
   • Jonathan Stanfill

   • Content type: OriginalPaper
   • Open Access
   • Published: 17 September 2024

   • Article: 155

2. On the Expansion of Resolvents and the Integrated Density of States for Poisson Distributed Schrödinger Operators

   Authors

   • David Hasler
   • Jannis Koberstein

   • Content type: OriginalPaper
   • Open Access
   • Published: 04 July 2024

   • Article: 128

3. Dirichlet Problem for Nonlinear Higher-Order Equations in Upper Half Plane

   Authors

   • Pelin Ayşe Gökgöz

   • Content type: OriginalPaper
   • Open Access
   • Published: 25 June 2024

   • Article: 121

4. Traces for Sturm–Liouville Operators on a Caterpillar Graph

   Authors

   • Feng Wang
   • Chuan-Fu Yang
   • Natalia P. Bondarenko

   • Content type: OriginalPaper
   • Published: 25 March 2024

   • Article: 64

   

5. Browder S-Resolvent Equation in Quaternionic Setting

   Authors

   • Hatem Baloudi
   • Aref Jeribi
   • Habib Zmouli

   • Content type: ReviewPaper
   • Published: 22 March 2024

   • Article: 60

6. Spectral Approximation of Generalized Schrödinger Operators via Approximation of Subwords

   Authors (first, second and last of 5)

   • Fabian Gabel
   • Dennis Gallaun
   • Riko Ukena

   • Content type: OriginalPaper
   • Open Access
   • Published: 04 December 2023

   • Article: 7

   

7. On the Single Layer Boundary Integral Operator for the Dirac Equation

   Authors

   • Markus Holzmann

   • Content type: OriginalPaper
   • Open Access
   • Published: 05 November 2023

   • Article: 135

8. A Complementary Inequality for the Information Monotonicity of the Operator Perspective and Applications

   Authors

   • Ismail Nikoufar

   • Content type: OriginalPaper
   • Published: 04 November 2023

   • Article: 133

9. Eigenvalue Asymptotics and a Trace Formula for a Fourth-Order Differential Operator

   Authors

   • Dmitry M. Polyakov

   • Content type: OriginalPaper
   • Published: 09 October 2023

   • Article: 121

10. A Note on \(C^*\)-Algebra of Toeplitz Operators with \(\mathcal {L}\)-Invariant Symbols

    Authors

    • Shubham R. Bais
    • D. Venku Naidu

    • Content type: OriginalPaper
    • Published: 13 August 2023

    • Article: 99

11. Refined Estimations for Some Types of Entropies and Divergences

    Authors

    • Ismail Nikoufar
    • Mehdi Kanani Arpatapeh

    • Content type: OriginalPaper
    • Published: 12 August 2023

    • Article: 98

12. The Number and Location of Eigenvalues for the Two-Particle Schrödinger Operators on Lattices

    Authors

    • Saidakhmat N. Lakaev
    • Mukhayyo O. Akhmadova

    • Content type: OriginalPaper
    • Published: 03 August 2023

    • Article: 92

    

13. A Note on the Completeness of Generalized Eigenfunctions of the Hamiltonian of Reggeon Field Theory in Bargmann Space

    Authors

    • Abdelkader Intissar

    • Content type: OriginalPaper
    • Published: 31 July 2023

    • Article: 90

14. Zero-Range Hamiltonian for a Bose Gas with an Impurity

    Authors

    • Daniele Ferretti
    • Alessandro Teta

    • Content type: OriginalPaper
    • Open Access
    • Published: 10 June 2023

    • Article: 55

15. Wellposedness of Second Order Evolution Equations

    Authors

    • Felipe Poblete
    • Verónica Poblete
    • Juan C. Pozo

    • Content type: OriginalPaper
    • Published: 28 March 2023

    • Article: 42

    

16. Some Fundamental Formulas for an Integration on Infinite Dimensional Hilbert Spaces

    Authors

    • Hyun Soo Chung

    • Content type: OriginalPaper
    • Published: 03 December 2022

    • Article: 4

17. On the \(L^p\)-Theory of Vector-Valued Elliptic Operators

    Authors

    • Kamal Khalil
    • Abdallah Maichine

    • Content type: OriginalPaper
    • Published: 02 April 2022

    • Article: 48

18. Green’s Identities for (p, q)-Sub-Laplacians on the Heisenberg Group and Their Applications

    Authors

    • Aidana Abdikarim
    • Durvudkhan Suragan

    • Content type: OriginalPaper
    • Published: 23 March 2022

    • Article: 41

19. On a Minimax Principle in Spectral Gaps

    Authors

    • Albrecht Seelmann

    • Content type: OriginalPaper
    • Open Access
    • Published: 03 March 2022

    • Article: 29

20. Bounds on the Non-real Eigenvalues of Nonlocal Indefinite Sturm–Liouville Problems with Coupled Boundary Conditions

    Authors

    • Fu Sun
    • Kun Li
    • Jinming Cai

    • Content type: OriginalPaper
    • Published: 03 March 2022

    • Article: 30

21. Band Edge Limit of the Scattering Matrix for Quasi-One-Dimensional Discrete Schrödinger Operators

    Authors (first, second and last of 4)

    • Miguel Ballesteros
    • Gerardo Franco
    • Hermann Schulz-Baldes

    • Content type: OriginalPaper
    • Published: 18 February 2022

    • Article: 23

22. On Characterization of Hilbert Transform of Riemannian Surface with Boundary

    Authors

    • M. I. Belishev
    • D. V. Korikov

    • Content type: OriginalPaper
    • Published: 30 December 2021

    • Article: 10

23. The Dirichlet Problem for the Complex Monge–Ampère Operator on Strictly Plurifinely Pseudoconvex Domains

    Authors

    • Nguyen Xuan Hong
    • Pham Thi Lieu

    • Content type: OriginalPaper
    • Published: 11 November 2021

    • Article: 124

24. Convergent Expansions of Eigenvalues of the Generalized Friedrichs Model with a Rank-One Perturbation

    Authors

    • S. N. Lakaev
    • Sh. Kh. Kurbanov
    • Sh. U. Alladustov

    • Content type: OriginalPaper
    • Published: 23 October 2021

    • Article: 121

25. Ambarzumian-type Problems for Discrete Schrödinger Operators

    Authors (first, second and last of 6)

    • Burak Hatinoğlu
    • Jerik Eakins
    • Alejandra Puente

    • Content type: OriginalPaper
    • Open Access
    • Published: 16 October 2021

    • Article: 118

26. The Noncommutative Fractional Fourier Law in Bounded and Unbounded Domains

    Authors

    • Fabrizio Colombo
    • Denis Deniz González
    • Stefano Pinton

    • Content type: OriginalPaper
    • Open Access
    • Published: 29 September 2021

    • Article: 114

27. Scattering Operator and Wave Operators for 2D Schrödinger Operators with Threshold Obstructions

    Authors

    • S. Richard
    • R. Tiedra de Aldecoa
    • L. Zhang

    • Content type: OriginalPaper
    • Published: 06 September 2021

    • Article: 106

28. Covariant CP-Instruments and Their Convolution Semigroups

    Authors

    • Jaeseong Heo
    • Un Cig Ji

    • Content type: OriginalPaper
    • Published: 31 July 2021

    • Article: 98

29. Solitonic Combinations, Commuting Nonselfadjoint Operators, and Applications

    Authors

    • Galina S. Borisova

    • Content type: OriginalPaper
    • Published: 09 March 2021

    • Article: 45

30. Existence of Extremals of Dunkl-Type Sobolev Inequality and of Stein–Weiss Inequality for Dunkl Riesz Potential

    Authors

    • Saswata Adhikari
    • V. P. Anoop
    • Sanjay Parui

    • Content type: OriginalPaper
    • Published: 27 January 2021

    • Article: 28

31. Null Controllability of a Degenerate Schrödinger Equation

    Authors

    • Abderrazak Chrifi
    • Younes Echarroudi

    • Content type: OriginalPaper
    • Published: 14 January 2021

    • Article: 18

32. Spectral Analysis of the Laplacian Acting on Discrete Cusps and Funnels

    Authors

    • Nassim Athmouni
    • Marwa Ennaceur
    • Sylvain Golénia

    • Content type: OriginalPaper
    • Published: 23 November 2020

    • Article: 10

    

33. Self-Adjoint Extensions with Friedrichs Lower Bound

    Authors

    • Matteo Gallone
    • Alessandro Michelangeli

    • Content type: OriginalPaper
    • Open Access
    • Published: 11 September 2020

    • Article: 73

    

34. Contributions to Modified Spherical Harmonics in Four Dimensions

    Authors

    • Heinz Leutwiler

    • Content type: OriginalPaper
    • Published: 08 September 2020

    • Article: 67

35. Second Variation Formula and Stability of Exponentially Subelliptic Harmonic Maps

    Authors

    • Yuan-Jen Chiang
    • Sorin Dragomir
    • Francesco Esposito

    • Content type: OriginalPaper
    • Published: 24 June 2020

    • Article: 55

36. Analytic Eigenbranches in the Semi-classical Limit

    Authors

    • Stefan Haller

    • Content type: OriginalPaper
    • Open Access
    • Published: 17 June 2020

    • Article: 52

37. Block Numerical Range and Estimable Decomposition of Some Hyponormal Operators

    Authors

    • Jiahui Yu
    • Alatancang Chen
    • Jiaojiao Wu

    • Content type: OriginalPaper
    • Published: 23 March 2020

    • Article: 39

    

38. Quasi-Fredholm Spectrum and Compact Perturbations

    Authors

    • Anuradha Gupta
    • Ankit Kumar

    • Content type: OriginalPaper
    • Published: 28 January 2020

    • Article: 19

39. Spectral Features of Two-Particle Schrödinger Operator on d-Dimensiional Lattice

    Authors

    • Mukhiddin I. Muminov
    • S. K. Ghoshal

    • Content type: OriginalPaper
    • Published: 22 January 2020

    • Article: 11

40. Some Properties of K-Frames in Quaternionic Hilbert Spaces

    Authors

    • Hanen Ellouz

    • Content type: OriginalPaper
    • Published: 14 January 2020

    • Article: 8

41. Point-Like Perturbed Fractional Laplacians Through Shrinking Potentials of Finite Range

    Authors

    • Alessandro Michelangeli
    • Raffaele Scandone

    • Content type: OriginalPaper
    • Published: 09 May 2019

    • Pages: 3717 - 3752