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Dr. Friedrich Philipp

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Publications

Most of the publications below can be downloaded as PDF files on the Arxiv or on ResearchGate.

Journal Publications
  1. Dynamical Sampling on finite index sets (joint with C. Cabrelli, U. Molter, and V. Paternostro), Preprint, submitted.
  2. Finite rank perturbations in Pontryagin spaces and a Sturm-Liouville problem with λ-rational boundary conditions (joint with J. Behrndt), Preprint, submitted.
  3. Bessel orbits of normal operators, J. Math. Anal. Appl. 448 (2017), 767—785.
  4. The effect of perturbations of linear operators on their polar decomposition (joint with R. Duong), Proc. Amer. Math. Soc. 145 (2017), 779—790
  5. The effect of perturbations of operator-valued frame sequences and fusion frames on their duals (joint with G. Kutyniok and V. Paternostro), to appear in Oper. Matrices.
  6. Measures of scalability (joint with X. Chen, G. Kutyniok, K.A. Okoudjou, and R. Wang), IEEE Trans. Inf. Theory 61 (2015), 4410—4423.
  7. Spectral points of type pi+ and type pi- of closed operators in indefinite inner product spaces (joint with C. Trunk), Oper. Matrices. 9 (2015), 481—506.
  8. Estimates on the non-real eigenvalues of regular indefinite Sturm-Liouville problems (joint with J. Behrndt, S. Chen, and S. Qi), Proc. Roy. Soc. Edinburgh Sect. A 144 (2014), 1113—1126.
  9. Bounds on the non-real spectrum of differential operators with indefinite weights (joint with J. Behrndt and C. Trunk), Math. Ann. 357 (2013), 185—213.
  10. Indefinite Sturm-Liouville operators with periodic coefficients, Oper. Matrices. 7 (2013), 777—811.
  11. Variation of discrete spectra of non-negative operators in Krein spaces (joint with J. Behrndt and L. Leben), J. Oper. Theory 71 (2014), 157—173.
  12. Scalable frames and convex geometry (joint with G. Kutyniok and K.A. Okoudjou), Contemp. Math. 626 (2014), 19—32.
  13. The numerical range of non-negative operators in Krein spaces (joint with C. Trunk), Linear Algebra Appl. 438 (2013), 2542—2556.
  14. Scalable frames (joint with G. Kutyniok, K.A. Okoudjou, and E.K. Tuley), Linear Algebra Appl. 438 (2013), 2225—2238.
  15. Local spectral theory for normal operators in Krein spaces (joint with V. Strauss and C. Trunk), Math. Nachr. 286 (2013), 42—58.
  16. Spectral functions of products of selfadjoint operators (joint with T.Ya. Azizov and M. Denisov), Math. Nachr. 285 (2012), 1711—1728.
  17. Locally definite normal operators in Krein spaces, J. Func. Anal. 262 (2012), 4929—4947.
  18. Local definitizability of T*T and TT* (joint with A.C.M. Ran and M. Wojtylak), Integral Equ. Oper. Theory 71 (2011), 491—508.
  19. Selfadjoint operators in S-spaces (joint with F.H. Szafraniec and C. Trunk), J. Funct. Anal. 260 (2011), 1045—1059.
  20. Spectral analysis of singular ordinary differential operators with indefinite weights (joint with J. Behrndt), J. Differ. Equations 248 (2010), 1899—2198.
  21. G-selfadjoint operators in Almost Pontryagin spaces (joint with C. Trunk), Oper. Theory: Adv. Appl. 188 (2008), 207—235.
  22. On domains of powers of linear operators and finite rank perturbations (joint with T.Ya. Azizov, J. Behrndt, and C. Trunk), Oper. Theory: Adv. Appl. 188 (2008), 31—37.
  23. Properties of the spectrum of type pi+ and type pi- of self-adjoint operators in Krein  spaces  (joint with J. Behrndt and C. Trunk), Methods Funct. Anal. Topology 12 (2006), 326—340.

 

Refereed Conference Publications
  1. Perturbations of fusion frames and the effect on their duals (joint with G. Kutyniok and V. Paternostro), Proc. SPIE 9597, Wavelets and Sparsity XVI, 95970S; doi:10.1117/12.2187063
  2. Phase retrieval from 4N-4 measurements: A proof of injectivity, Proc. Appl. Math. Mech. 14 (2014), 833—834.
  3. Signal recovery from thresholded frame measurements (joint with H. Boche, M. Guillemard, and G. Kutyniok), Proc. SPIE 8858, Wavelets and Sparsity XV, 88580D (September 26, 2013); doi:10.1117/12.2022793.
  4. Preconditioning of frames (joint with G. Kutyniok and K.A. Okoudjou), Proc. SPIE 8858, Wavelets and Sparsity XV, 88580G (September 26, 2013); doi:10.1117/12.2022667.
  5. Bounds on the non-real eigenvalues of indefinite Sturm-Liouville problems (joint with J. Behrndt, S. Chen, and J. Qi), Proc. Appl. Math. Mech. 13 (2013), 525—526.
  6. Signal analysis with frame theory and persistent homology (joint with H. Boche, M. Guillemard, and G. Kutyniok), 10th International Conference on Sampling Theory and Applications (SampTA’13, Bremen, Germany, 2013), 309—331, Eurasip, 2013.
  7. Perfect preconditioning of frames by a diagonal operator (joint with G. Kutyniok and Kasso A. Okoudjou), 10th International Conference on Sampling Theory and Applications (SampTA ’13, Bremen, Germany, 2013), 85—88, Eurasip, 2013.
  8. Definitizable products of selfadjoint operators (joint with T.Ya. Azizov and M.Denisov), Proc. Appl. Math. Mech. 12 (2012), 769—770.
  9. Definitizability of a class of J-selfadjoint operators with applications (joint with J. Behrndt and C. Trunk), Proc. Appl. Math. Mech. 9 (2009), 665—666.

 

Book Chapters
  1.  Introduction to Finite Frame Theory (joint with P.G. Casazza and G. Kutyniok), in: Finite Frames: Theory and Applications, Birkhäuser Boston, 2012.
  2. Information Extracting Sensor Networks (joint with M. Guillemard and G. Kutyniok), in: MATHEON – Mathematics for Key Technologies, EMS Publishing House, Zürich, 2014.


Other Publications
  1. Phase retrieval from 4N-4 measurements, arXiv:1403.4769v1.
  2. Eigenvalues in gaps of selfadjoint operators in Pontryagin spaces, arXiv:1111.3011v1.
  3. Scalable frames, Oberwolfach Report 29/2012, DOI: 10.4171/OWR/2012/29.
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Last modified 2017-02-23 12:34 AM
 
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