AnLI Fotografie
Dr. Friedrich Philipp
Besuchsanschrift:
Weimarer Str. 25
Curiebau, Raum C 333
98693 Ilmenau
+49 3677 69-3612
Teaching
Research
- Frame Theory
- Harmonic Analysis
- Indefinite Inner Product Spaces
- Machine Learning
- Mathematical Control Theory
- Neural Networks
- Operator Theory
- Perturbation Theory
- Spectral Theory
- Time-Frequency Analysis
Publications
- Lee, Dae Gwan; Philipp, Friedrich; Voigtlaender, Felix
A note on the invertibility of the Gabor frame operator on certain modulation spaces - Faulwasser, Timm; Maschke, Bernhard; Philipp, Friedrich; Schaller, Manuel; Worthmann, Karl
Optimal control of port-Hamiltonian descriptor systems with minimal energy supply
submitted, 35 pages, 2021 - Philipp, Friedrich; Schaller, Manuel; Faulwasser, Timm; Maschke, Bernhard; Worthmann, Karl
Minimizing the energy supply of infinite-dimensional linear port-Hamiltonian systems
submitted, 2021 - F. Philipp
Relatively bounded perturbations of J-non-negative operators - A. Caragea, D. Lee, F. Philipp, and F. Voigtlaender
Balian-Low type theorems for subspaces
- Schaller, Manuel; Philipp, Friedrich; Faulwasser, Timm; Worthmann, Karl; Maschke, Bernhard
Control of port-Hamiltonian systems with minimal energy supply.
To appear in European Journal of Control - A. Caragea, D. Lee, F. Philipp, and F. Voigtlaender
A quantitative subspace Balian-Low theorem
ACHA 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
To appear in Complex Analysis and Operator Theory - H. Gernandt, N. Moalla, F. Philipp, W. Selmi, and C. Trunk
Invariance of the essential spectra of operator pencils
To appear in Oper. Theory Adv. Appl. - J. Giribet, M. Langer, F. Martínez-Pería, F. Philipp, and C. Trunk
Spectral enclosures for a class of block operator matrices
J. Funct. Anal. 278 (2020), 108455. - O. Christensen, M. Hasannasab, and F. Philipp
Frame properties of operator orbits
Math. Nachr. 293 (2020), 52—66 - A. Caragea, D. Lee, G.E. Pfander, and F. Philipp
A Balian-Low theorem for subspaces
J. Fourier Anal. Appl. (2019), 1673—1694 - C. Cabrelli, U. Molter, V. Paternostro, and F. Philipp
Dynamical Sampling on finite index sets
J. Anal. Math. 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: Adv. Appl. 263 (2018), 163—189 - F. Philipp
Bessel orbits of normal operators
J. Math. Anal. Appl. 448 (2017), 767—785. - R. Duong and F. Philipp
The effect of perturbations of linear operators on their polar decomposition
Proc. Amer. Math. Soc. 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
Oper. Matrices. 11 (2017), 301—336 - X. Chen, G. Kutyniok, K.A. Okoudjou, F.Philipp, and R. Wang
Measures of scalability
IEEE Trans. Inf. Theory 61 (2015), 4410—4423. - C. Trunk and F. Philipp
Spectral points of type pi+ and type pi- of closed operators in indefinite inner product spaces
Oper. Matrices. 9 (2015), 481—506. - J. Behrndt, S. Chen, F. Philipp, and J. Qi
Estimates on the non-real eigenvalues of regular indefinite Sturm-Liouville problems
Proc. Roy. Soc. 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
Math. Ann. 357 (2013), 185—213. - F. Philipp
Indefinite Sturm-Liouville operators with periodic coefficients
Oper. Matrices. 7 (2013), 777—811. - J. Behrndt, L. Leben, and F. Philipp
Variation of discrete spectra of non-negative operators in Krein spaces
J. Oper. Theory 71 (2014), 157—173. - G. Kutyniok, K.A. Okoudjou, and F. Philipp
Scalable frames and convex geometry
Contemp. Math. 626 (2014), 19—32. - C. Trunk and F. Philipp
The numerical range of non-negative operators in Krein spaces
Linear Algebra Appl. 438 (2013), 2542—2556. - G. Kutyniok, K.A. Okoudjou, F. Philipp, and E.K. Tuley
Scalable frames
Linear Algebra Appl. 438 (2013), 2225—2238. - V. Strauss, F. Philipp, and C. Trunk
Local spectral theory for normal operators in Krein spaces
Math. Nachr. 286 (2013), 42—58. - T.Ya. Azizov, M. Denisov, and F. Philipp,
Spectral functions of products of selfadjoint operators
Math. Nachr. 285 (2012), 1711—1728. - F. Philipp
Locally definite normal operators in Krein spaces
J. Func. Anal. 262 (2012), 4929—4947. - A.C.M. Ran, F. Philipp, and M. Wojtylak
Local definitizability of T*T and TT*
Integral Equ. Oper. Theory 71 (2011), 491—508. - F.H. Szafraniec, F. Philipp, and C. Trunk
Selfadjoint operators in S-spaces
J. Funct. Anal. 260 (2011), 1045—1059. - J. Behrndt and F. Philipp
Spectral analysis of singular ordinary differential operators with indefinite weights
J. Differ. Equations 248 (2010), 1899—2198. - F. Philipp and C. Trunk
G-selfadjoint operators in Almost Pontryagin spaces
Oper. Theory: Adv. Appl. 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
Oper. Theory: Adv. Appl. 188 (2008), 31—37. - J. Behrndt, F. Philipp, and C. Trunk
Properties of the spectrum of type pi+ and type pi- of self-adjoint operators in Krein spaces
Methods Funct. Anal. Topology 12 (2006), 326—340.
- A. Caragea, D. Lee, F. Philipp, and F.Voigtländer
Time-Frequency Shift Invariance of Gabor Spaces
Proceedings of the 2019 International Conference on Sampling Theory and Applications (SampTA), Bordeaux, France, 2019 - C. Cabrelli, U. Molter, V. Paternostro, and F. Philipp
Finite sensor dynamical sampling
Proceedings of the 2017 International Conference on Sampling Theory and Applications (SampTA), Tallinn, Estonia, 2017 - G. Kutyniok, V. Paternostro, and F. Philipp
Perturbations of fusion frames and the effect on their duals
Proc. SPIE 9597, Wavelets and Sparsity XVI, 95970S; doi:10.1117/12.2187063 - F. Philipp
Phase retrieval from 4N-4 measurements: A proof of injectivity
Proc. Appl. Math. Mech. 14 (2014), 833—834. - H. Boche, M. Guillemard, G. Kutyniok, and F. Philipp
Signal recovery from thresholded frame measurements
Proc. SPIE 8858, Wavelets and Sparsity XV, 88580D (September 26, 2013); doi:10.1117/12.2022793. - G. Kutyniok, K.A. Okoudjou, and F. Philipp
Preconditioning of frames
Proc. SPIE 8858, Wavelets and Sparsity XV, 88580G (September 26, 2013); doi:10.1117/12.2022667. - J. Behrndt, S. Chen, F. Philipp, and J. Qi
Bounds on the non-real eigenvalues of indefinite Sturm-Liouville problems
Proc. Appl. Math. Mech. 13 (2013), 525—526. - H. Boche, M. Guillemard, G. Kutyniok, and F. Philipp, Signal analysis with frame theory and persistent homology
10th International Conference on Sampling Theory and Applications (SampTA ’13, Bremen, Germany, 2013), 309—331, Eurasip, 2013. - G. Kutyniok, K.A. Okoudjou, and F. Philipp
Perfect preconditioning of frames by a diagonal operator
10th International Conference on Sampling Theory and Applications (SampTA ’13, Bremen, Germany, 2013), 85—88, Eurasip, 2013. - T.Ya. Azizov, M.Denisov, and F. Philipp,
Definitizable products of selfadjoint operators
Proc. Appl. Math. Mech. 12 (2012), 769—770. - J. Behrndt, F. Philipp, and C. Trunk
Definitizability of a class of J-selfadjoint operators with applications
Proc. Appl. Math. Mech. 9 (2009), 665—666.
- P.G. Casazza, G. Kutyniok, and F. Philipp
Introduction to Finite Frame Theory
in: Finite Frames: Theory and Applications, Birkhäuser Boston, 2012. - M. Guillemard, G. Kutyniok, and F. Philipp
Information Extracting Sensor Networks
in: MATHEON – Mathematics for Key Technologies, EMS Publishing House, Zürich, 2014.
- F. Philipp
Phase retrieval from 4N-4 measurements
arXiv:1403.4769v1. - F. Philipp
Eigenvalues in gaps of selfadjoint operators in Pontryagin spaces
arXiv:1111.3011v1. - F. Philipp
Scalable frames
Oberwolfach Report 29/2012, DOI: 10.4171/OWR/2012/29.