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64. Parameter-dependent pseudodifferential operators of Toeplitz type.

Author

Seiler, Jörg

Abstract

We present a calculus of pseudodifferential operators that contains both usual parameter-dependent operators-where a real parameter $$\tau $$ enters as an additional covariable-as well as operators not depending on $$\tau $$ . Parameter-ellipticity is characterized by the invertibility of three associated principal symbols. The homogeneous principal symbol is not smooth on the whole cosphere bundle but only admits directional limits at the north-poles, encoded by a principal angular symbol. Furthermore, there is a limit-family for $$\tau \rightarrow +\infty $$ . Ellipticity permits to construct parametrices that are inverses for large values of the parameter. We then obtain subcalculi of Toeplitz type with a corresponding symbol structure. In particular, we discuss invertibility of operators of the form $$P_1A(\tau )P_0$$ where both $$P_0$$ and $$P_1$$ are zero-order projections and $$A(\tau )$$ is a usual parameter-dependent operator of arbitrary order or $$A(\tau )=\tau ^{\mu }-A$$ with a pseudodifferential operator $$A$$ of positive integer order $$\mu $$ . [ABSTRACT FROM AUTHOR]

Published
2015
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65. Maximal $$L_{p}$$ -regularity of non-local boundary value problems.

Author

Denk, Robert and Seiler, Jörg

Abstract

We investigate the $$\fancyscript{R}$$ -boundedness of operator families belonging to the Boutet de Monvel calculus. In particular, we show that weakly and strongly parameter-dependent Green operators of nonpositive order are $$\fancyscript{R}$$ -bounded. Such operators appear as resolvents of non-local (pseudodifferential) boundary value problems. As a consequence, we obtain maximal $$L_p$$ -regularity for such boundary value problems. An example is given by the reduced Stokes equation in waveguides. [ABSTRACT FROM AUTHOR]

Published
2015
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66. On the maximal L-regularity of parabolic mixed-order systems.

Author

DENK, ROBERT and SEILER, JÖRG

Abstract

We study maximal L-regularity for a class of pseudodifferential mixed-order systems on a space-time cylinder $${\mathbb{R}^n \times \mathbb{R}}$$ or $${X \times \mathbb{R}}$$ , where X is a closed smooth manifold. To this end, we construct a calculus of Volterra pseudodifferential operators and characterize the parabolicity of a system by the invertibility of certain associated symbols. A parabolic system is shown to induce isomorphisms between suitable L-Sobolev spaces of Bessel potential or Besov type. If the cross section of the space-time cylinder is compact, the inverse of a parabolic system belongs to the calculus again. As applications, we discuss time-dependent Douglis-Nirenberg systems and a linear system arising in the study of the Stefan problem with Gibbs-Thomson correction. [ABSTRACT FROM AUTHOR]

Published
2011
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68. Ellipticity and invertibility in the cone algebra on L p-Sobolev spaces.

Author

Schrohe, Elmar and Seiler, Jörg

Abstract

Given a manifold B with conical singularities, we consider the cone algebra with discrete asymptotics, introduced by Schulze, on a suitable scale of L p-Sobolev spaces. Ellipticity is proven to be equivalent to the Fredholm property in these spaces; it turns out to be independent of the choice of p. We then show that the cone algebra is closed under inversion: whenever an operator is invertible between the associated Sobolev spaces, its inverse belongs to the calculus. We use these results to analyze the behaviour of these operators on L p (B). [ABSTRACT FROM AUTHOR]

Published
2001
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71. Walter Grundmann

Author

Seiler, Jörg

Abstract

Rottenburger Jahrbuch für Kirchengeschichte, Bd. 30 (2011): Rottenburger Jahrbuch für Kirchengeschichte, Band 30

Published
1970
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80. Cone-Adapted Shearlets and Radon Transforms

Author

Bartolucci, Francesca, De Mari, Filippo, De Vito, Ernesto, Benedetto, John J., Series Editor, Aldroubi, Akram, Advisory Editor, Cochran, Douglas, Advisory Editor, Feichtinger, Hans G., Advisory Editor, Heil, Christopher, Advisory Editor, Jaffard, Stéphane, Advisory Editor, Kovačević, Jelena, Advisory Editor, Kutyniok, Gitta, Advisory Editor, Maggioni, Mauro, Advisory Editor, Shen, Zuowei, Advisory Editor, Strohmer, Thomas, Advisory Editor, Wang, Yang, Advisory Editor, Boggiatto, Paolo, editor, Cappiello, Marco, editor, Cordero, Elena, editor, Coriasco, Sandro, editor, Garello, Gianluca, editor, Oliaro, Alessandro, editor, and Seiler, Jörg, editor

Published
2020
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81. On the Simple Layer Potential Ansatz for the n-Dimensional Helmholtz Equation

Author

Cialdea, Alberto, Leonessa, Vita, Malaspina, Angelica, Benedetto, John J., Series Editor, Aldroubi, Akram, Advisory Editor, Cochran, Douglas, Advisory Editor, Feichtinger, Hans G., Advisory Editor, Heil, Christopher, Advisory Editor, Jaffard, Stéphane, Advisory Editor, Kovačević, Jelena, Advisory Editor, Kutyniok, Gitta, Advisory Editor, Maggioni, Mauro, Advisory Editor, Shen, Zuowei, Advisory Editor, Strohmer, Thomas, Advisory Editor, Wang, Yang, Advisory Editor, Boggiatto, Paolo, editor, Cappiello, Marco, editor, Cordero, Elena, editor, Coriasco, Sandro, editor, Garello, Gianluca, editor, Oliaro, Alessandro, editor, and Seiler, Jörg, editor

Published
2020
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82. Linear Perturbations of the Wigner Transform and the Weyl Quantization

Author

Bayer, Dominik, Cordero, Elena, Gröchenig, Karlheinz, Trapasso, S. Ivan, Benedetto, John J., Series Editor, Aldroubi, Akram, Advisory Editor, Cochran, Douglas, Advisory Editor, Feichtinger, Hans G., Advisory Editor, Heil, Christopher, Advisory Editor, Jaffard, Stéphane, Advisory Editor, Kovačević, Jelena, Advisory Editor, Kutyniok, Gitta, Advisory Editor, Maggioni, Mauro, Advisory Editor, Shen, Zuowei, Advisory Editor, Strohmer, Thomas, Advisory Editor, Wang, Yang, Advisory Editor, Boggiatto, Paolo, editor, Cappiello, Marco, editor, Cordero, Elena, editor, Coriasco, Sandro, editor, Garello, Gianluca, editor, Oliaro, Alessandro, editor, and Seiler, Jörg, editor

Published
2020
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83. About the Nuclearity of

Author

Boiti, Chiara, Jornet, David, Oliaro, Alessandro, Benedetto, John J., Series Editor, Aldroubi, Akram, Advisory Editor, Cochran, Douglas, Advisory Editor, Feichtinger, Hans G., Advisory Editor, Heil, Christopher, Advisory Editor, Jaffard, Stéphane, Advisory Editor, Kovačević, Jelena, Advisory Editor, Kutyniok, Gitta, Advisory Editor, Maggioni, Mauro, Advisory Editor, Shen, Zuowei, Advisory Editor, Strohmer, Thomas, Advisory Editor, Wang, Yang, Advisory Editor, Boggiatto, Paolo, editor, Cappiello, Marco, editor, Cordero, Elena, editor, Coriasco, Sandro, editor, Garello, Gianluca, editor, Oliaro, Alessandro, editor, and Seiler, Jörg, editor

Published
2020
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84. Comparison Principle for Non-cooperative Elliptic Systems and Applications

Author

Boyadzhiev, Georgi, Kutev, Nikolay, Benedetto, John J., Series Editor, Aldroubi, Akram, Advisory Editor, Cochran, Douglas, Advisory Editor, Feichtinger, Hans G., Advisory Editor, Heil, Christopher, Advisory Editor, Jaffard, Stéphane, Advisory Editor, Kovačević, Jelena, Advisory Editor, Kutyniok, Gitta, Advisory Editor, Maggioni, Mauro, Advisory Editor, Shen, Zuowei, Advisory Editor, Strohmer, Thomas, Advisory Editor, Wang, Yang, Advisory Editor, Boggiatto, Paolo, editor, Cappiello, Marco, editor, Cordero, Elena, editor, Coriasco, Sandro, editor, Garello, Gianluca, editor, Oliaro, Alessandro, editor, and Seiler, Jörg, editor

Published
2020
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85. Spaces of Ultradifferentiable Functions of Multi-anisotropic Type

Author

Bouzar, Chikh, Benedetto, John J., Series Editor, Aldroubi, Akram, Advisory Editor, Cochran, Douglas, Advisory Editor, Feichtinger, Hans G., Advisory Editor, Heil, Christopher, Advisory Editor, Jaffard, Stéphane, Advisory Editor, Kovačević, Jelena, Advisory Editor, Kutyniok, Gitta, Advisory Editor, Maggioni, Mauro, Advisory Editor, Shen, Zuowei, Advisory Editor, Strohmer, Thomas, Advisory Editor, Wang, Yang, Advisory Editor, Boggiatto, Paolo, editor, Cappiello, Marco, editor, Cordero, Elena, editor, Coriasco, Sandro, editor, Garello, Gianluca, editor, Oliaro, Alessandro, editor, and Seiler, Jörg, editor

Published
2020
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86. The Gabor Wave Front Set of Compactly Supported Distributions

Author

Wahlberg, Patrik, Benedetto, John J., Series Editor, Aldroubi, Akram, Advisory Editor, Cochran, Douglas, Advisory Editor, Feichtinger, Hans G., Advisory Editor, Heil, Christopher, Advisory Editor, Jaffard, Stéphane, Advisory Editor, Kovačević, Jelena, Advisory Editor, Kutyniok, Gitta, Advisory Editor, Maggioni, Mauro, Advisory Editor, Shen, Zuowei, Advisory Editor, Strohmer, Thomas, Advisory Editor, Wang, Yang, Advisory Editor, Boggiatto, Paolo, editor, Cappiello, Marco, editor, Cordero, Elena, editor, Coriasco, Sandro, editor, Garello, Gianluca, editor, Oliaro, Alessandro, editor, and Seiler, Jörg, editor

Published
2020
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87. The Global Cauchy Problem for the Plate Equation in Weighted Sobolev Spaces

Author

Ascanelli, Alessia, Benedetto, John J., Series Editor, Aldroubi, Akram, Advisory Editor, Cochran, Douglas, Advisory Editor, Feichtinger, Hans G., Advisory Editor, Heil, Christopher, Advisory Editor, Jaffard, Stéphane, Advisory Editor, Kovačević, Jelena, Advisory Editor, Kutyniok, Gitta, Advisory Editor, Maggioni, Mauro, Advisory Editor, Shen, Zuowei, Advisory Editor, Strohmer, Thomas, Advisory Editor, Wang, Yang, Advisory Editor, Boggiatto, Paolo, editor, Cappiello, Marco, editor, Cordero, Elena, editor, Coriasco, Sandro, editor, Garello, Gianluca, editor, Oliaro, Alessandro, editor, and Seiler, Jörg, editor

Published
2020
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88. Wiener Estimates on Modulation Spaces

Author

Toft, Joachim, Benedetto, John J., Series Editor, Aldroubi, Akram, Advisory Editor, Cochran, Douglas, Advisory Editor, Feichtinger, Hans G., Advisory Editor, Heil, Christopher, Advisory Editor, Jaffard, Stéphane, Advisory Editor, Kovačević, Jelena, Advisory Editor, Kutyniok, Gitta, Advisory Editor, Maggioni, Mauro, Advisory Editor, Shen, Zuowei, Advisory Editor, Strohmer, Thomas, Advisory Editor, Wang, Yang, Advisory Editor, Boggiatto, Paolo, editor, Cappiello, Marco, editor, Cordero, Elena, editor, Coriasco, Sandro, editor, Garello, Gianluca, editor, Oliaro, Alessandro, editor, and Seiler, Jörg, editor

Published
2020
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89. Hardy Spaces on Weighted Homogeneous Trees

Author

Arditti, Laura, Tabacco, Anita, Vallarino, Maria, Benedetto, John J., Series Editor, Aldroubi, Akram, Advisory Editor, Cochran, Douglas, Advisory Editor, Feichtinger, Hans G., Advisory Editor, Heil, Christopher, Advisory Editor, Jaffard, Stéphane, Advisory Editor, Kovačević, Jelena, Advisory Editor, Kutyniok, Gitta, Advisory Editor, Maggioni, Mauro, Advisory Editor, Shen, Zuowei, Advisory Editor, Strohmer, Thomas, Advisory Editor, Wang, Yang, Advisory Editor, Boggiatto, Paolo, editor, Cappiello, Marco, editor, Cordero, Elena, editor, Coriasco, Sandro, editor, Garello, Gianluca, editor, Oliaro, Alessandro, editor, and Seiler, Jörg, editor

Published
2020
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90. Extended Gevrey Regularity via the Short-Time Fourier Transform

Author

Teofanov, Nenad, Tomić, Filip, Benedetto, John J., Series Editor, Aldroubi, Akram, Advisory Editor, Cochran, Douglas, Advisory Editor, Feichtinger, Hans G., Advisory Editor, Heil, Christopher, Advisory Editor, Jaffard, Stéphane, Advisory Editor, Kovačević, Jelena, Advisory Editor, Kutyniok, Gitta, Advisory Editor, Maggioni, Mauro, Advisory Editor, Shen, Zuowei, Advisory Editor, Strohmer, Thomas, Advisory Editor, Wang, Yang, Advisory Editor, Boggiatto, Paolo, editor, Cappiello, Marco, editor, Cordero, Elena, editor, Coriasco, Sandro, editor, Garello, Gianluca, editor, Oliaro, Alessandro, editor, and Seiler, Jörg, editor

Published
2020
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91. Convolution and Anti-Wick Quantisation on Ultradistribution Spaces

Author

Pilipović, Stevan, Prangoski, Bojan, Benedetto, John J., Series Editor, Aldroubi, Akram, Advisory Editor, Cochran, Douglas, Advisory Editor, Feichtinger, Hans G., Advisory Editor, Heil, Christopher, Advisory Editor, Jaffard, Stéphane, Advisory Editor, Kovačević, Jelena, Advisory Editor, Kutyniok, Gitta, Advisory Editor, Maggioni, Mauro, Advisory Editor, Shen, Zuowei, Advisory Editor, Strohmer, Thomas, Advisory Editor, Wang, Yang, Advisory Editor, Boggiatto, Paolo, editor, Cappiello, Marco, editor, Cordero, Elena, editor, Coriasco, Sandro, editor, Garello, Gianluca, editor, Oliaro, Alessandro, editor, and Seiler, Jörg, editor

Published
2020
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92. Dirichlet-to-Neumann Operator and Zaremba Problem

Author

Schulze, B.-W., Benedetto, John J., Series Editor, Aldroubi, Akram, Advisory Editor, Cochran, Douglas, Advisory Editor, Feichtinger, Hans G., Advisory Editor, Heil, Christopher, Advisory Editor, Jaffard, Stéphane, Advisory Editor, Kovačević, Jelena, Advisory Editor, Kutyniok, Gitta, Advisory Editor, Maggioni, Mauro, Advisory Editor, Shen, Zuowei, Advisory Editor, Strohmer, Thomas, Advisory Editor, Wang, Yang, Advisory Editor, Boggiatto, Paolo, editor, Cappiello, Marco, editor, Cordero, Elena, editor, Coriasco, Sandro, editor, Garello, Gianluca, editor, Oliaro, Alessandro, editor, and Seiler, Jörg, editor

Published
2020
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93. Anisotropic Gevrey-Hörmander Pseudo-Differential Operators on Modulation Spaces

Author

Abdeljawad, Ahmed, Toft, Joachim, Benedetto, John J., Series Editor, Aldroubi, Akram, Advisory Editor, Cochran, Douglas, Advisory Editor, Feichtinger, Hans G., Advisory Editor, Heil, Christopher, Advisory Editor, Jaffard, Stéphane, Advisory Editor, Kovačević, Jelena, Advisory Editor, Kutyniok, Gitta, Advisory Editor, Maggioni, Mauro, Advisory Editor, Shen, Zuowei, Advisory Editor, Strohmer, Thomas, Advisory Editor, Wang, Yang, Advisory Editor, Boggiatto, Paolo, editor, Cappiello, Marco, editor, Cordero, Elena, editor, Coriasco, Sandro, editor, Garello, Gianluca, editor, Oliaro, Alessandro, editor, and Seiler, Jörg, editor

Published
2020
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94. On the Measurability of Stochastic Fourier Integral Operators

Author

Oberguggenberger, Michael, Schwarz, Martin, Benedetto, John J., Series Editor, Aldroubi, Akram, Advisory Editor, Cochran, Douglas, Advisory Editor, Feichtinger, Hans G., Advisory Editor, Heil, Christopher, Advisory Editor, Jaffard, Stéphane, Advisory Editor, Kovačević, Jelena, Advisory Editor, Kutyniok, Gitta, Advisory Editor, Maggioni, Mauro, Advisory Editor, Shen, Zuowei, Advisory Editor, Strohmer, Thomas, Advisory Editor, Wang, Yang, Advisory Editor, Boggiatto, Paolo, editor, Cappiello, Marco, editor, Cordero, Elena, editor, Coriasco, Sandro, editor, Garello, Gianluca, editor, Oliaro, Alessandro, editor, and Seiler, Jörg, editor

Published
2020
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95. Exact Formulas to the Solutions of Several Generalizations of the Nonlinear Schrödinger Equation

Author

Popivanov, Petar, Slavova, Angela, Benedetto, John J., Series Editor, Aldroubi, Akram, Advisory Editor, Cochran, Douglas, Advisory Editor, Feichtinger, Hans G., Advisory Editor, Heil, Christopher, Advisory Editor, Jaffard, Stéphane, Advisory Editor, Kovačević, Jelena, Advisory Editor, Kutyniok, Gitta, Advisory Editor, Maggioni, Mauro, Advisory Editor, Shen, Zuowei, Advisory Editor, Strohmer, Thomas, Advisory Editor, Wang, Yang, Advisory Editor, Boggiatto, Paolo, editor, Cappiello, Marco, editor, Cordero, Elena, editor, Coriasco, Sandro, editor, Garello, Gianluca, editor, Oliaro, Alessandro, editor, and Seiler, Jörg, editor

Published
2020
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96. Strictly Hyperbolic Cauchy Problems with Coefficients Low-Regular in Time and Space

Author

Lorenz, Daniel, Benedetto, John J., Series Editor, Aldroubi, Akram, Advisory Editor, Cochran, Douglas, Advisory Editor, Feichtinger, Hans G., Advisory Editor, Heil, Christopher, Advisory Editor, Jaffard, Stéphane, Advisory Editor, Kovačević, Jelena, Advisory Editor, Kutyniok, Gitta, Advisory Editor, Maggioni, Mauro, Advisory Editor, Shen, Zuowei, Advisory Editor, Strohmer, Thomas, Advisory Editor, Wang, Yang, Advisory Editor, Boggiatto, Paolo, editor, Cappiello, Marco, editor, Cordero, Elena, editor, Coriasco, Sandro, editor, Garello, Gianluca, editor, Oliaro, Alessandro, editor, and Seiler, Jörg, editor

Published
2020
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97. Carleman Regularization and Hyperfunctions

Author

Liess, Otto, Benedetto, John J., Series Editor, Aldroubi, Akram, Advisory Editor, Cochran, Douglas, Advisory Editor, Feichtinger, Hans G., Advisory Editor, Heil, Christopher, Advisory Editor, Jaffard, Stéphane, Advisory Editor, Kovačević, Jelena, Advisory Editor, Kutyniok, Gitta, Advisory Editor, Maggioni, Mauro, Advisory Editor, Shen, Zuowei, Advisory Editor, Strohmer, Thomas, Advisory Editor, Wang, Yang, Advisory Editor, Boggiatto, Paolo, editor, Cappiello, Marco, editor, Cordero, Elena, editor, Coriasco, Sandro, editor, Garello, Gianluca, editor, Oliaro, Alessandro, editor, and Seiler, Jörg, editor

Published
2020
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98. Quantization and Coorbit Spaces for Nilpotent Groups

Author

Măntoiu, M., Benedetto, John J., Series Editor, Aldroubi, Akram, Advisory Editor, Cochran, Douglas, Advisory Editor, Feichtinger, Hans G., Advisory Editor, Heil, Christopher, Advisory Editor, Jaffard, Stéphane, Advisory Editor, Kovačević, Jelena, Advisory Editor, Kutyniok, Gitta, Advisory Editor, Maggioni, Mauro, Advisory Editor, Shen, Zuowei, Advisory Editor, Strohmer, Thomas, Advisory Editor, Wang, Yang, Advisory Editor, Boggiatto, Paolo, editor, Cappiello, Marco, editor, Cordero, Elena, editor, Coriasco, Sandro, editor, Garello, Gianluca, editor, Oliaro, Alessandro, editor, and Seiler, Jörg, editor

Published
2020
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99. A Class of Well-Posed Parabolic Final Value Problems

Author

Johnsen, Jon, Benedetto, John J., Series Editor, Aldroubi, Akram, Advisory Editor, Cochran, Douglas, Advisory Editor, Feichtinger, Hans G., Advisory Editor, Heil, Christopher, Advisory Editor, Jaffard, Stéphane, Advisory Editor, Kovačević, Jelena, Advisory Editor, Kutyniok, Gitta, Advisory Editor, Maggioni, Mauro, Advisory Editor, Shen, Zuowei, Advisory Editor, Strohmer, Thomas, Advisory Editor, Wang, Yang, Advisory Editor, Boggiatto, Paolo, editor, Cappiello, Marco, editor, Cordero, Elena, editor, Coriasco, Sandro, editor, Garello, Gianluca, editor, Oliaro, Alessandro, editor, and Seiler, Jörg, editor

Published
2020
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100. Integrating Gauge Fields in the ζ-Formulation of Feynman’s Path Integral

Author

Hartung, Tobias, Jansen, Karl, Benedetto, John J., Series Editor, Aldroubi, Akram, Advisory Editor, Cochran, Douglas, Advisory Editor, Feichtinger, Hans G., Advisory Editor, Heil, Christopher, Advisory Editor, Jaffard, Stéphane, Advisory Editor, Kovačević, Jelena, Advisory Editor, Kutyniok, Gitta, Advisory Editor, Maggioni, Mauro, Advisory Editor, Shen, Zuowei, Advisory Editor, Strohmer, Thomas, Advisory Editor, Wang, Yang, Advisory Editor, Boggiatto, Paolo, editor, Cappiello, Marco, editor, Cordero, Elena, editor, Coriasco, Sandro, editor, Garello, Gianluca, editor, Oliaro, Alessandro, editor, and Seiler, Jörg, editor

Published
2020
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