L. Bold, F.M. Philipp, M. Schaller, and K. Worthmann
Kernel-based Koopman approximants for control: Flexible sampling, error analysis, and stability
Preprint, submitted, arXiv:2412.02811.

F. Philipp, M. Schaller, S. Boshoff, S. Peitz, F. Nüske, and Karl Worthmann
Variance representations and convergence rates for data-driven approximations of Koopman operators
Preprint, submitted, arXiv:2402.02494.

H. Harder, F. Nüske, F. Philipp, M. Schaller, K. Worthmann, and S. Peitz
Group-Convolutional Extended Dynamic Mode Decomposition
Preprint, submitted, arXiv:2411.00905.

F. Philipp, M. Schaller, Karl Worthmann, S. Peitz, and F. Nüske
Error analysis of kernel EDMD for prediction and control in the Koopman framework
Preprint, submitted, arXiv:2312.10460.

F. Philipp, T. Reis, and M. Schaller
Infinite-dimensional port-Hamiltonian systems – a system node approach
Preprint, submitted, arXiv:2302.05168.

T. Faulwasser, J. Kirchhoff, V. Mehrmann, M. Schaller, and K. Worthmann
Hidden regularity in singular optimal control of port-Hamiltonian systems
to appear in DAE Panel, arXiv:2305.03790.

S. Peitz, H. Harder, F. Nüske, F. Philipp, M. Schaller, and Karl Worthmann
Equivariance and partial observations in Koopman operator theory for partial differential equations
Journal of Computational Dynamics 12 (2025), 305–324.

F. Köhne, F. Philipp, A. Schiela, M. Schaller, and K. Worthmann
L∞-error bounds for approximations of the Koopman operator by kernel extended dynamic mode decomposition
to appear in SIAM Journal of Applied Dynamical Systems, arXiv:2403.18809.

F. Philipp, M. Schaller, K. Worthmann, T. Faulwasser, and B. Maschke
Optimal control of port-Hamiltonian systems: energy, entropy, and exergy
Systems & Control Letters 194 (2024), 105942.

O. Christensen, M. Hasannasab, F. Philipp, and D. Stoeva
The mystery of Carleson frames
Applied and Computational Harmonic Analysis 72 (2024), 101659.

F. Philipp, M. Schaller, K. Worthmann, S. Peitz, and F. Nüske
Error bounds for kernel-based approximations of the Koopman operator
Applied and Computational Harmonic Analysis 71 (2024), 101657.

H. Gernandt, F. Martínez-Pería, F. Philipp, and C. Trunk
On characteristic invariants of matrix pencils and linear relations
SIAM Journal on Matrix Analysis and Applications 44 (2023), 1510–1539.

F. Nüske, S. Peitz, F. Philipp, M. Schaller, and K. Worthmann
Finite-data error bounds for Koopman-based prediction and control
J. of Nonlinear Science 33, 14 (2023).

D. Lee, F. Philipp, and F. Voigtlaender
A note on the invertibility of the Gabor frame operator on certain modulation spaces
J. of Fourier Analysis and Applications 29, 3 (2023).

A. Caragea, D. Lee, F. Philipp, and F. Voigtlaender
A Balian-Low type theorem for Gabor Riesz sequences of arbitrary density
Mathematische Zeitschrift 303, 48 (2023).

F. Philipp
Relatively bounded perturbations of J-non-negative operators
Complex Analysis and Operator Theory 17, 14 (2023).

T. Faulwasser, B. Maschke, F. Philipp, M. Schaller, and K. Worthmann
Optimal control of port-Hamiltonian descriptor systems with minimal energy supply
SIAM Journal on Control and Optimization 60 (2022), 2132–2158.

M. Schaller, F. Philipp, T. Faulwasser, K.Worthmann, and B. Maschke
Control of port-Hamiltonian systems with minimal energy supply
European J. of Control 62 (2021), 33–40.

A. Caragea, D. Lee, F. Philipp, and F. Voigtlaender
A quantitative subspace Balian-Low theorem
Applied and Computational Harmonic Analysis 55 (2021), 368–404.

L. Leben, F. Martínez-Pería, F. Philipp, C. Trunk, and H. Winkler
Finite Rank Perturbations of Linear Relations and Singular Matrix Pencils
Complex Analysis and Operator Theory 15, 37 (2021).

J. Giribet, M. Langer, F. Martínez-Pería, F. Philipp, and C. Trunk
Spectral enclosures for a class of block operator matrices
J. of Functional Analysis 278 (2020), 108455.

H. Gernandt, N. Moalla, F. Philipp, W. Selmi, and C. Trunk
Invariance of the essential spectra of operator pencils
Operator Theory: Advances and Applications 278 (2020), 203–219.

O. Christensen, M. Hasannasab, and F. Philipp
Frame properties of operator orbits
Mathematische Nachrichten 293 (2020), 52–66.

A. Caragea, D. Lee, G.E. Pfander, and F. Philipp
A Balian-Low theorem for subspaces
J. of Fourier Analysis and Applications 25 (2019), 1673–1694.

C. Cabrelli, U. Molter, V. Paternostro, and F. Philipp
Dynamical Sampling on finite index sets
J. d’Analyse Mathématique 140 (2020), 637–667.

J. Behrndt and F. Philipp
Finite rank perturbations in Pontryagin spaces and a Sturm-Liouville problem with λ-rational boundary conditions
Operator Theory: Advances and Applications 263 (2018), 163–189.

F. Philipp
Bessel orbits of normal operators
J. of Mathematical Analysis and Applications 448 (2017), 767–785.

R. Duong and F. Philipp
The effect of perturbations of linear operators on their polar decomposition
Proceedings of the American Mathematical Society 145 (2017), 779–790.

G. Kutyniok, V. Paternostro, and F. Philipp
The effect of perturbations of operator-valued frame sequences and fusion frames on their duals
Operators and Matrices 11 (2017), 301–336.

X. Chen, G. Kutyniok, K.A. Okoudjou, F. Philipp, and R. Wang
Measures of scalability
IEEE Transactions on Information Theory 61 (2015), 4410–4423.

F. Philipp and C. Trunk
Spectral points of type π+ and type π− of closed operators in indefinite inner product spaces
Operators and Matrices 9 (2015), 481–506.

J. Behrndt, S. Chen, F. Philipp, and S. Qi
Estimates on the non-real eigenvalues of regular indefinite Sturm-Liouville problems
Proceedings of the Royal Society of Edinburgh Sect. A 144 (2014), 1113–1126.

J. Behrndt, F. Philipp, and C. Trunk
Bounds on the non-real spectrum of differential operators with indefinite weights
Mathematische Annalen 357 (2013), 185–213.

F. Philipp
Indefinite Sturm-Liouville operators with periodic coefficients
Operators and Matrices 7 (2013), 777–811.

J. Behrndt, L. Leben, and F. Philipp
Variation of discrete spectra of non-negative operators in Krein spaces
J. of Operator Theory 71 (2014), 157–173.

G. Kutyniok, K.A. Okoudjou, and F. Philipp
Scalable frames and convex geometry
Contemporary Mathematics 626 (2014), 19–32.

F. Philipp and C. Trunk
The numerical range of non-negative operators in Krein spaces
Linear Algebra and its Applications 438 (2013), 2542–2556.

G. Kutyniok, K.A. Okoudjou, F. Philipp, and E.K. Tuley
Scalable frames
Linear Algebra and its Applications 438 (2013), 2225–2238.

F. Philipp, V. Strauss, and C. Trunk
Local spectral theory for normal operators in Krein spaces
Mathematische Nachrichten 286 (2013), 42–58.

T.Ya. Azizov, M. Denisov, and F. Philipp
Spectral functions of products of selfadjoint operators
Mathematische Nachrichten 285 (2012), 1711–1728.

F. Philipp
Locally definite normal operators in Krein spaces
J. of Functional Analysis 262, (2012), 4929–4947.

A.C.M. Ran, F. Philipp, and M. Wojtylak
Local definitizability of T^[∗]T and TT^[∗]
Integral Equations and Operator Theory 71 (2011), 491–508.

F. Philipp, F.H. Szafraniec, and C. Trunk
Selfadjoint operators in S-spaces
J. of Functional Analysis 260 (2011), 1045–1059.

J. Behrndt and F. Philipp
Spectral analysis of singular ordinary differential operators with indefinite weights
J. of Differential Equations 248 (2010), 2015–2037.

F. Philipp and C. Trunk
G-selfadjoint operators in Almost Pontryagin spaces
Operator Theory: Advances and Applications 188 (2008), 207–235.

T.Ya. Azizov, J. Behrndt, F. Philipp, and C. Trunk
On domains of powers of linear operators and finite rank perturbations
Operator Theory: Advances and Applications 188 (2008), 31–37.

J. Behrndt, F. Philipp, and C. Trunk
Properties of the spectrum of type π+ and type π− of self-adjoint operators in Krein spaces
Methods of Functional Analysis and Topology 12 (2006), 326–340.

M. Schaller, K. Worthmann, F. Philipp, S. Peitz, and F. Nüske
Towards reliable data-based optimal and predictive control using extended DMD
In: IFAC-PapersOnLine 56 (1), 169–174, 2023.

B. Maschke, F. Philipp, M. Schaller, K. Worthmann, and T. Faulwasser
Optimal control of thermodynamic pH-systems
In: IFAC-PapersOnLine 55 (30), 55–60, 2022.

L. Grüne, F. Philipp, and M. Schaller
Strict dissipativity for generalized linear-quadratic problems in infinite dimensions
In: IFAC-PapersOnLine 55 (30), 311–316, 2022.

F. Philipp, M. Schaller, T. Faulwasser, B. Maschke, and K. Worthmann
Minimizing the energy supply of infinite-dimensional linear port-Hamiltonian systems
In: IFAC-PapersOnLine 54:19, 155-160, 2021.

A. Caragea, D. Lee, F. Philipp, and F. Voigtlaender
Time-Frequency Shift Invariance of Gabor Spaces
In: 2019 13th International conference on Sampling Theory and Applications (SampTA)

C. Cabrelli, U. Molter, F. Philipp, and V. Paternostro
Finite Sensor Dynamical Sampling
In: 2017 12th International conference on Sampling Theory and Applications (SampTA).

G. Kutyniok, V. Paternostro, and F. Philipp
Perturbations of fusion frames and the effect on their duals
In: Proc. SPIE 9597, Wavelets and Sparsity XVI, 95970S.

H. Boche, M. Guillemard, G. Kutyniok, and F. Philipp
Signal recovery from thresholded frame measurements
In: Proc. SPIE 8858, Wavelets and Sparsity XV, 88580D.

G. Kutyniok, K.A. Okoudjou, and F. Philipp
Preconditioning of frames
In: Proc. SPIE 8858, Wavelets and Sparsity XV, 88580G.

H. Boche, M. Guillemard, G. Kutyniok, and F. Philipp
Signal analysis with frame theory and persistent homology
In: 2015 10th International Conference on Sampling Theory and Applications (SampTA).

G. Kutyniok, K.A. Okoudjou, and F. Philipp
Perfect preconditioning of frames by a diagonal operator
In: 2015 10th International Conference on Sampling Theory and Applications (SampTA).

F. Philipp
On differential-algebraic equations in Banach spaces with bounded spectrum
to appear in Trends in Mathematics, Systems Theory and PDEs – Open Problems, Recent Results,
and New Directions. Birkhäuser.

H. Gernandt, F. Philipp, T. Preuster, and M. Schaller,
On the equivalence of geometric and descriptor representations of linear port-Hamiltonian systems
to appear in Trends in Mathematics, Systems Theory and PDEs – Open Problems, Recent Results,
and New Directions. Birkhäuser.

M. Guillemard, G. Kutyniok und F. Philipp
Information Extracting Sensor Networks
In: MATHEON – Mathematics for Key Technologies, EMS Publishing House, Zürich, 2014.

P.G. Casazza, G. Kutyniok und F. Philipp
Introduction to Finite Frame Theory
In: P.G. Casazza und G. Kutyniok (eds), Finite Frames: Theory and Applications. Birkhäuser Boston, 2012.