Back to Search
Start Over
A natural transfer function space for linear discrete time-invariant and scale-invariant systems
- Source :
- IEEE, International Workshop on Multidimensional (nD) Systems, 2009-NDS 2009 (Invited session), International Workshop on Multidimensional (nD) Systems, 2009-NDS 2009 (Invited session), Jun 2009, Thessaloniki, Greece. pp.1-4, ⟨10.1109/NDS.2009.5196173⟩, International Workshop on Multidimensional (nD) Systems, 2009-NDS 2009 (Invited session), Jun 2009, Thessaloniki, Greece. pp.1-4, 2009, 〈http://ieeexplore.ieee.org/servlet/opac?punumber=5174547〉. 〈10.1109/NDS.2009.5196173〉, nDS
- Publication Year :
- 2009
- Publisher :
- HAL CCSD, 2009.
-
Abstract
- International audience; In a previous work, we have defined the scale shift for a discrete-time signal and introduced a family of linear scale-invariant systems in connection with character-automorphic Hardy spaces. In this paper, we prove a Beurling-Lax theorem for such Hardy spaces of order 2. We also study an interpolation problem in these spaces, as a first step towards a finite dimensional implementation of a scale invariant system. Our approach uses a characterization of character-automorphic Hardy spaces of order 2 in terms of classical de Branges Rovnyak spaces.
- Subjects :
- Pure mathematics
[ INFO.INFO-TS ] Computer Science [cs]/Signal and Image Processing
[ MATH.MATH-CA ] Mathematics [math]/Classical Analysis and ODEs [math.CA]
Mathematics::Classical Analysis and ODEs
02 engineering and technology
[ MATH.MATH-FA ] Mathematics [math]/Functional Analysis [math.FA]
[ SPI.SIGNAL ] Engineering Sciences [physics]/Signal and Image processing
[MATH.MATH-CA]Mathematics [math]/Classical Analysis and ODEs [math.CA]
Space (mathematics)
[MATH.MATH-FA]Mathematics [math]/Functional Analysis [math.FA]
01 natural sciences
symbols.namesake
[INFO.INFO-TS]Computer Science [cs]/Signal and Image Processing
Fréchet space
0202 electrical engineering, electronic engineering, information engineering
Birnbaum–Orlicz space
0101 mathematics
Lp space
Mathematics
Mathematics::Functional Analysis
Beurling–Lax theorem
Mathematics::Complex Variables
Topological tensor product
010102 general mathematics
Mathematical analysis
020206 networking & telecommunications
Hardy space
symbols
Interpolation space
[SPI.SIGNAL]Engineering Sciences [physics]/Signal and Image processing
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Journal :
- IEEE, International Workshop on Multidimensional (nD) Systems, 2009-NDS 2009 (Invited session), International Workshop on Multidimensional (nD) Systems, 2009-NDS 2009 (Invited session), Jun 2009, Thessaloniki, Greece. pp.1-4, ⟨10.1109/NDS.2009.5196173⟩, International Workshop on Multidimensional (nD) Systems, 2009-NDS 2009 (Invited session), Jun 2009, Thessaloniki, Greece. pp.1-4, 2009, 〈http://ieeexplore.ieee.org/servlet/opac?punumber=5174547〉. 〈10.1109/NDS.2009.5196173〉, nDS
- Accession number :
- edsair.doi.dedup.....487351c0b3bbf9dfb6fe953889d5feb8