Birs- 19w5209: Herglotz-Nevanlinna Theory Applied to Passive, Causal and Active Systems

  1. Title:
    Herglotz-Nevanlinna class in several variables

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  2. Title:
    Reproducing kernel spaces and the Bargmann-Schiffer lemma

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  3. Title:
    Herglotz function and optimization-based bounds on electromagnetic systems

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  4. Title:
    Topology, locality, and passivity in nonreciprocal electromagnetic media

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  5. Title:
    Determination of the size of an inclusion from one boundary measurement at a specific moment of time

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  6. Title:
    Algebraic Nevanlinna operator functions and applications to electromagnetics

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  7. Title:
    Fundamental limits to electromagnetic response by convexity, causality, and duality

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    Initial results on matching with applications to integrated 5G-antennas

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  9. Title:
    Imaging with Johnson-Nyquist noise

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  10. Title:
    Self-adjoint boundary conditions for singular Sturm-Liouville problems and the computation of $m$-functions for Bessel, Legendre, and Laguerre operators.

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  11. Title:
    Homogeneous Herglotz class versus homogeneous Herglotz-Agler class

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  12. Title:
    Product Borel measures in the plane satisfying a certain positivity condition

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  13. Title:
    Herglotz functions and multiscale homogenization for sea ice

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  14. Title:
    Integral representation formula (IRF) for permeability and tortuosity for porous media

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  15. Title:
    Analytic continuation problems via reproducing kernel Hilbert spaces

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  16. Title:
    Effective parameters of periodic electromagnetic structures from Kramers-Kronig relations extended to spatially dispersive media

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  17. Title:
    Realization theory for Herglotz--Nevanlinna and Schur class functions: from one to several variables and beyond

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  18. Title:
    On the correspondence between subspace collections and Herglotz functions

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  19. Title:
    Time domain interpretation of sum rules in electromagnetism

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  20. Title:
    Mathematical models for dispersive electromagnetic waves

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