Flat extensions of positive moment matrices : recursively generated relations / / Raúl E. Curto, Lawrence A. Fialkow |
Autore | Curto Raúl E. <1954-> |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1998] |
Descrizione fisica | 1 online resource (73 p.) |
Disciplina |
510 s
515/.723 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Moment problems (Mathematics)
Functions of complex variables Matrices |
ISBN | 1-4704-0237-8 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | ""Contents""; ""Chapter 1. Introduction""; ""Chapter 2. Flat Extensions for Moment Matrices""; ""Chapter 3. The Singular Quartic Moment Problem""; ""Chapter 4. The Algebraic Variety of γ""; ""Chapter 5. J.E. McCarthy's Phenomenon and the Proof of Theorem 1.5""; ""Summary of Results""; ""Bibliography""; ""List of Symbols"" |
Record Nr. | UNINA-9910788736503321 |
Curto Raúl E. <1954->
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Providence, Rhode Island : , : American Mathematical Society, , [1998] | ||
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Lo trovi qui: Univ. Federico II | ||
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Flat extensions of positive moment matrices : recursively generated relations / / Raúl E. Curto, Lawrence A. Fialkow |
Autore | Curto Raúl E. <1954-> |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1998] |
Descrizione fisica | 1 online resource (73 p.) |
Disciplina |
510 s
515/.723 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Moment problems (Mathematics)
Functions of complex variables Matrices |
ISBN | 1-4704-0237-8 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | ""Contents""; ""Chapter 1. Introduction""; ""Chapter 2. Flat Extensions for Moment Matrices""; ""Chapter 3. The Singular Quartic Moment Problem""; ""Chapter 4. The Algebraic Variety of γ""; ""Chapter 5. J.E. McCarthy's Phenomenon and the Proof of Theorem 1.5""; ""Summary of Results""; ""Bibliography""; ""List of Symbols"" |
Record Nr. | UNINA-9910808068803321 |
Curto Raúl E. <1954->
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||
Providence, Rhode Island : , : American Mathematical Society, , [1998] | ||
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Lo trovi qui: Univ. Federico II | ||
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Fourier transforms : principles and applications / / Eric W. Hansen |
Autore | Hansen Eric W (Eric William), <1954-> |
Edizione | [1st edition] |
Pubbl/distr/stampa | Hoboken, New Jersey : , : Wiley, , 2014 |
Descrizione fisica | 1 online resource (774 p.) |
Disciplina | 515/.723 |
Soggetto topico |
Signal processing - Mathematical models
Image processing - Mathematical models Fourier analysis |
Soggetto genere / forma | Electronic books. |
ISBN | 1-118-90169-X |
Classificazione | MAT003000 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
FOURIER TRANSFORMS; Contents; Preface; Philosophy and Distinctives; Flow of the Book; Suggested Use; Acknowledgments; 1 Review of Prerequisite Mathematics; 1.1 Common notation; 1.2 Vectors in space; 1.3 Complex numbers; 1.4 Matrix algebra; 1.5 Mappings and functions; 1.6 Sinusoidal functions; 1.7 Complex exponentials; 1.8 Geometric series; 1.9 Results from calculus; 1.10 Top 10 ways to avoid errors in calculations; Problems; 2 Vector Spaces; 2.1 Signals and vector spaces; 2.2 Finite-dimensional vector spaces; 2.2.1 Norms and Metrics; 2.2.2 Inner Products
2.2.3 Orthogonal Expansion and Approximation2.3 Infinite-dimensional vector spaces; 2.3.1 Convergent Sequences; 2.3.3 Functions and the Lp Spaces; 2.4 Operators; 2.5 Creating orthonormal bases-the Gram-Schmidt process; 2.6 Summary; Problems; 3 The Discrete Fourier Transform; 3.1 Sinusoidal sequences; 3.2 The Discrete Fourier transform; 3.3 Interpreting the DFT; 3.4 DFT properties and theorems; 3.5 Fast Fourier transform; 3.6 Discrete cosine transform; 3.7 Summary; Problems; 4 The Fourier Series; 4.1 Sinusoids and physical systems; 4.2 Definitions and interpretation 4.3 Convergence of the Fourier series4.4 Fourier series properties and theorems; 4.5 The heat equation; 4.6 The vibrating string; 4.7 Antenna arrays; 4.8 Computing the Fourier series; 4.9 Discrete time Fourier transform; 4.9.1 Convergence Properties; 4.9.2 Theorems; 4.9.3 Discrete-time Systems; 4.9.4 Computing the DTFT; 4.10 Summary; Problems; 5 The Fourier Transform; 5.1 From Fourier series to Fourier transform; 5.2 Basic properties and some examples; 5.3 Fourier transform theorems; 5.4 Interpreting the Fourier transform; 5.5 Convolution; 5.5.1 Definition and basic properties 5.5.2 Convolution and Linear Systems5.5.3 Correlation; 5.6 More about the Fourier transform; 5.6.1 Fourier inversion in L1; 5.6.2 Fourier Transform in L2; 5.6.3 More about convolution; 5.7 Time-bandwidth relationships; 5.8 Computing the Fourier transform; 5.9 Time-frequency transforms; 5.10 Summary; Problems; 6 Generalized Functions; 6.1 Impulsive signals and spectra; 6.2 The delta function in a nutshell; 6.3 Generalized functions; 6.3.1 Functions and Generalized Functions; 6.3.2 Generalized Functions as Sequences of Functions; 6.3.3 Calculus of Generalized Functions 6.4 Generalized Fourier transform6.4.1 Definition; 6.4.2 Fourier Theorems; 6.5 Sampling theory and Fourier series; 6.5.1 Fourier Series, Again; 6.5.2 Periodic Generalized Functions; 6.5.3 The Sampling Theorem; 6.5.4 Discrete-time Fourier Transform; 6.6 Unifying the Fourier family; 6.6.1 Basis Functions and Orthogonality Relationships; 6.6.2 Sampling and Replication; 6.7 Summary; Problems; 7 Complex Function Theory; 7.1 Complex functions and their visualization; 7.2 Differentiation; 7.3 Analytic functions; 7.4 exp z and functions derived from it; 7.5 log z and functions derived from it 7.5.1 The Logarithm Function |
Record Nr. | UNINA-9910459967803321 |
Hansen Eric W (Eric William), <1954->
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Hoboken, New Jersey : , : Wiley, , 2014 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
Fourier transforms : principles and applications / / Eric W. Hansen |
Autore | Hansen Eric W (Eric William), <1954-> |
Pubbl/distr/stampa | Hoboken, New Jersey : , : Wiley, , 2014 |
Descrizione fisica | 1 online resource (774 pages) : illustrations |
Disciplina | 515/.723 |
Soggetto topico |
Signal processing - Mathematical models
Image processing - Mathematical models Fourier analysis |
ISBN |
1-118-90179-7
1-118-90169-X |
Classificazione |
413.66
515/.723 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNINA-9910796095703321 |
Hansen Eric W (Eric William), <1954->
![]() |
||
Hoboken, New Jersey : , : Wiley, , 2014 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
Fourier transforms : principles and applications / / Eric W. Hansen |
Autore | Hansen Eric W (Eric William), <1954-> |
Pubbl/distr/stampa | Hoboken, New Jersey : , : Wiley, , 2014 |
Descrizione fisica | 1 online resource (774 pages) : illustrations |
Disciplina | 515/.723 |
Soggetto topico |
Signal processing - Mathematical models
Image processing - Mathematical models Fourier analysis |
ISBN |
1-118-90179-7
1-118-90169-X |
Classificazione |
413.66
515/.723 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNINA-9910813945103321 |
Hansen Eric W (Eric William), <1954->
![]() |
||
Hoboken, New Jersey : , : Wiley, , 2014 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
Gabor and wavelet frames [[electronic resource] /] / editors, Say Song Goh, Amos Ron, Zuowei Shen |
Pubbl/distr/stampa | Hackensack, NJ, : World Scientific, c2007 |
Descrizione fisica | 1 online resource (228 p.) |
Disciplina | 515/.723 |
Altri autori (Persone) |
GohSay Song
RonAmos ShenZuowei |
Collana | Lecture notes series |
Soggetto topico |
Gabor transforms
Wavelets (Mathematics) |
Soggetto genere / forma | Electronic books. |
ISBN |
1-281-91871-7
9786611918712 981-270-908-8 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
CONTENTS; Foreword; Preface; A Guided Tour from Linear Algebra to the Foundations of Gabor Analysis Hans G. Feichtinger, Franz Luef and Tobias Werther; 1. Introduction; 2. Basics in Linear Algebra; 3. Finite Dimensional Gabor Analysis; 4. Frames and Riesz Bases; 5. Gabor Analysis on L2; 6. Time-Frequency Representations; 7. The Gelfand Triple; 8. The Spreading Function; 9. Conclusion and Outlook; References; Some Iterative Algorithms to Compute Canonical Windows for Gabor Frames A. J. E. M. Janssen; 1. Introduction; 2. Overview; 3. Basic Tools; 4. Analysis of Recursion I to Approximate gt
5. Proposing Iterations Without Inversions 5.1. Iterations for gt; 5.2. Iterations for gd; 6. Analysis of Recursion II to Approximate gt; 7. Analysis of Recursion IV to Approximate gd; 8. Summary of Results for Iterations III and V; 9. Concluding Remarks; Acknowledgments; References; Gabor Analysis, Noncommutative Tori and Feichtinger's Algebra Franz Luef; 1. Introduction; 2. Operator Algebras of Time-Frequency Shifts; 3. Noncommutative Tori and Feichtinger's Algebra; 4. Feichtinger's Algebra as Bimodule for C ( ) and C ( 0) 5. Application to Gabor Analysis: Biorthogonality Relation of Wexler-Raz 6. Conclusions; Acknowledgment; References; Unitary Matrix Functions,Wavelet Algorithms, and Structural Properties of Wavelets Palle E. T. Jorgensen; 1. Introduction; 1.1. Index of terminology in mathematics and in engineering; 1.2. Motivation; 1.2.1. Some points of history; 1.2.2. Some early applications; 2. Signal Processing; 2.1. Filters in communications engineering; 2.2. Algorithms for signals and for wavelets; 2.2.2. Subdivision algorithms; 2.2.3. Wavelet packet algorithms 2.2.4. Lifting algorithms: Sweldens and more 2.3. Factorization theorems for matrix functions; 2.3.1. The case of polynomial functions [the polyphase matrix, joint work with Ola Bratteli]; 2.3.2. General results in mathematics on matrix functions; 2.3.3. Connection between matrix functions and wavelets; 2.3.3.1. Multiresolution wavelets; 2.3.3.2. Generalized multiresolutions [joint work with L. Baggett, K. Merrill, and J. Packer]; 2.3.4. Matrix completion; 2.3.5. Connections between matrix functions and signal processing; Acknowledgments; References Unitary Systems, Wavelet Sets, and Operator-Theoretic Interpolation of Wavelets and Frames David R. Larson 1. Introduction; 1.1. Talks and abstracts; 1.2. Some background; 1.2.1. Interpolation; 1.2.2. Some basic terminology; 1.2.3. Acknowledgements; 2. Unitary Systems and Wavelet Sets; 2.1. The one-dimensional wavelet system; 2.1.1. Dyadic wavelets; 2.1.2. The dyadic unitary system; 2.1.3. Non-dyadic wavelets in one dimension; 2.2. N dimensions; 2.2.1. The expansive-dilation case; 2.2.2. The non-expansive dilation case; 2.3. Abstract systems; 2.3.1. Restrictions on wandering vectors 2.3.2. Group systems |
Record Nr. | UNINA-9910450691203321 |
Hackensack, NJ, : World Scientific, c2007 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
Gabor and wavelet frames [[electronic resource] /] / editors, Say Song Goh, Amos Ron, Zuowei Shen |
Pubbl/distr/stampa | Hackensack, NJ, : World Scientific, c2007 |
Descrizione fisica | 1 online resource (228 p.) |
Disciplina | 515/.723 |
Altri autori (Persone) |
GohSay Song
RonAmos ShenZuowei |
Collana | Lecture notes series |
Soggetto topico |
Gabor transforms
Wavelets (Mathematics) |
ISBN |
1-281-91871-7
9786611918712 981-270-908-8 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
CONTENTS; Foreword; Preface; A Guided Tour from Linear Algebra to the Foundations of Gabor Analysis Hans G. Feichtinger, Franz Luef and Tobias Werther; 1. Introduction; 2. Basics in Linear Algebra; 3. Finite Dimensional Gabor Analysis; 4. Frames and Riesz Bases; 5. Gabor Analysis on L2; 6. Time-Frequency Representations; 7. The Gelfand Triple; 8. The Spreading Function; 9. Conclusion and Outlook; References; Some Iterative Algorithms to Compute Canonical Windows for Gabor Frames A. J. E. M. Janssen; 1. Introduction; 2. Overview; 3. Basic Tools; 4. Analysis of Recursion I to Approximate gt
5. Proposing Iterations Without Inversions 5.1. Iterations for gt; 5.2. Iterations for gd; 6. Analysis of Recursion II to Approximate gt; 7. Analysis of Recursion IV to Approximate gd; 8. Summary of Results for Iterations III and V; 9. Concluding Remarks; Acknowledgments; References; Gabor Analysis, Noncommutative Tori and Feichtinger's Algebra Franz Luef; 1. Introduction; 2. Operator Algebras of Time-Frequency Shifts; 3. Noncommutative Tori and Feichtinger's Algebra; 4. Feichtinger's Algebra as Bimodule for C ( ) and C ( 0) 5. Application to Gabor Analysis: Biorthogonality Relation of Wexler-Raz 6. Conclusions; Acknowledgment; References; Unitary Matrix Functions,Wavelet Algorithms, and Structural Properties of Wavelets Palle E. T. Jorgensen; 1. Introduction; 1.1. Index of terminology in mathematics and in engineering; 1.2. Motivation; 1.2.1. Some points of history; 1.2.2. Some early applications; 2. Signal Processing; 2.1. Filters in communications engineering; 2.2. Algorithms for signals and for wavelets; 2.2.2. Subdivision algorithms; 2.2.3. Wavelet packet algorithms 2.2.4. Lifting algorithms: Sweldens and more 2.3. Factorization theorems for matrix functions; 2.3.1. The case of polynomial functions [the polyphase matrix, joint work with Ola Bratteli]; 2.3.2. General results in mathematics on matrix functions; 2.3.3. Connection between matrix functions and wavelets; 2.3.3.1. Multiresolution wavelets; 2.3.3.2. Generalized multiresolutions [joint work with L. Baggett, K. Merrill, and J. Packer]; 2.3.4. Matrix completion; 2.3.5. Connections between matrix functions and signal processing; Acknowledgments; References Unitary Systems, Wavelet Sets, and Operator-Theoretic Interpolation of Wavelets and Frames David R. Larson 1. Introduction; 1.1. Talks and abstracts; 1.2. Some background; 1.2.1. Interpolation; 1.2.2. Some basic terminology; 1.2.3. Acknowledgements; 2. Unitary Systems and Wavelet Sets; 2.1. The one-dimensional wavelet system; 2.1.1. Dyadic wavelets; 2.1.2. The dyadic unitary system; 2.1.3. Non-dyadic wavelets in one dimension; 2.2. N dimensions; 2.2.1. The expansive-dilation case; 2.2.2. The non-expansive dilation case; 2.3. Abstract systems; 2.3.1. Restrictions on wandering vectors 2.3.2. Group systems |
Record Nr. | UNINA-9910777059403321 |
Hackensack, NJ, : World Scientific, c2007 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
Gabor and wavelet frames [[electronic resource] /] / editors, Say Song Goh, Amos Ron, Zuowei Shen |
Pubbl/distr/stampa | Hackensack, NJ, : World Scientific, c2007 |
Descrizione fisica | 1 online resource (228 p.) |
Disciplina | 515/.723 |
Altri autori (Persone) |
GohSay Song
RonAmos ShenZuowei |
Collana | Lecture notes series |
Soggetto topico |
Gabor transforms
Wavelets (Mathematics) |
ISBN |
1-281-91871-7
9786611918712 981-270-908-8 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
CONTENTS; Foreword; Preface; A Guided Tour from Linear Algebra to the Foundations of Gabor Analysis Hans G. Feichtinger, Franz Luef and Tobias Werther; 1. Introduction; 2. Basics in Linear Algebra; 3. Finite Dimensional Gabor Analysis; 4. Frames and Riesz Bases; 5. Gabor Analysis on L2; 6. Time-Frequency Representations; 7. The Gelfand Triple; 8. The Spreading Function; 9. Conclusion and Outlook; References; Some Iterative Algorithms to Compute Canonical Windows for Gabor Frames A. J. E. M. Janssen; 1. Introduction; 2. Overview; 3. Basic Tools; 4. Analysis of Recursion I to Approximate gt
5. Proposing Iterations Without Inversions 5.1. Iterations for gt; 5.2. Iterations for gd; 6. Analysis of Recursion II to Approximate gt; 7. Analysis of Recursion IV to Approximate gd; 8. Summary of Results for Iterations III and V; 9. Concluding Remarks; Acknowledgments; References; Gabor Analysis, Noncommutative Tori and Feichtinger's Algebra Franz Luef; 1. Introduction; 2. Operator Algebras of Time-Frequency Shifts; 3. Noncommutative Tori and Feichtinger's Algebra; 4. Feichtinger's Algebra as Bimodule for C ( ) and C ( 0) 5. Application to Gabor Analysis: Biorthogonality Relation of Wexler-Raz 6. Conclusions; Acknowledgment; References; Unitary Matrix Functions,Wavelet Algorithms, and Structural Properties of Wavelets Palle E. T. Jorgensen; 1. Introduction; 1.1. Index of terminology in mathematics and in engineering; 1.2. Motivation; 1.2.1. Some points of history; 1.2.2. Some early applications; 2. Signal Processing; 2.1. Filters in communications engineering; 2.2. Algorithms for signals and for wavelets; 2.2.2. Subdivision algorithms; 2.2.3. Wavelet packet algorithms 2.2.4. Lifting algorithms: Sweldens and more 2.3. Factorization theorems for matrix functions; 2.3.1. The case of polynomial functions [the polyphase matrix, joint work with Ola Bratteli]; 2.3.2. General results in mathematics on matrix functions; 2.3.3. Connection between matrix functions and wavelets; 2.3.3.1. Multiresolution wavelets; 2.3.3.2. Generalized multiresolutions [joint work with L. Baggett, K. Merrill, and J. Packer]; 2.3.4. Matrix completion; 2.3.5. Connections between matrix functions and signal processing; Acknowledgments; References Unitary Systems, Wavelet Sets, and Operator-Theoretic Interpolation of Wavelets and Frames David R. Larson 1. Introduction; 1.1. Talks and abstracts; 1.2. Some background; 1.2.1. Interpolation; 1.2.2. Some basic terminology; 1.2.3. Acknowledgements; 2. Unitary Systems and Wavelet Sets; 2.1. The one-dimensional wavelet system; 2.1.1. Dyadic wavelets; 2.1.2. The dyadic unitary system; 2.1.3. Non-dyadic wavelets in one dimension; 2.2. N dimensions; 2.2.1. The expansive-dilation case; 2.2.2. The non-expansive dilation case; 2.3. Abstract systems; 2.3.1. Restrictions on wandering vectors 2.3.2. Group systems |
Record Nr. | UNINA-9910807912503321 |
Hackensack, NJ, : World Scientific, c2007 | ||
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Lo trovi qui: Univ. Federico II | ||
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Global and local regularity of fourier integral operators on weighted and unweighted spaces / / David Dos Santos Ferreira, Wolfgang Staubach |
Autore | Ferreira David Dos Santos <1975-> |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2013 |
Descrizione fisica | 1 online resource (86 p.) |
Disciplina | 515/.723 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Fourier integral operators
Mathematical analysis |
Soggetto genere / forma | Electronic books. |
ISBN | 1-4704-1528-3 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
""Chapter 3. Global and Local Weighted ^{ } Boundedness of Fourier Integral Operators""""3.1. Tools in proving weighted boundedness""; ""3.2. Counterexamples in the context of weighted boundedness""; ""3.3. Invariant formulation in the local boundedness""; ""3.4. Weighted local and global ^{ } boundedness of Fourier integral operators""; ""Chapter 4. Applications in Harmonic Analysis and Partial Differential Equations""; ""4.1. Estimates in weighted Triebel-Lizorkin spaces""; ""4.2. Commutators with BMO functions""; ""4.3. Applications to hyperbolic partial differential equations""
""Bibliography"" |
Record Nr. | UNINA-9910480645603321 |
Ferreira David Dos Santos <1975->
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Providence, Rhode Island : , : American Mathematical Society, , 2013 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
Global and local regularity of fourier integral operators on weighted and unweighted spaces / / David Dos Santos Ferreira, Wolfgang Staubach |
Autore | Ferreira David Dos Santos <1975-> |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2013 |
Descrizione fisica | 1 online resource (86 p.) |
Disciplina | 515/.723 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Fourier integral operators
Mathematical analysis |
ISBN | 1-4704-1528-3 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
""Chapter 3. Global and Local Weighted ^{ } Boundedness of Fourier Integral Operators""""3.1. Tools in proving weighted boundedness""; ""3.2. Counterexamples in the context of weighted boundedness""; ""3.3. Invariant formulation in the local boundedness""; ""3.4. Weighted local and global ^{ } boundedness of Fourier integral operators""; ""Chapter 4. Applications in Harmonic Analysis and Partial Differential Equations""; ""4.1. Estimates in weighted Triebel-Lizorkin spaces""; ""4.2. Commutators with BMO functions""; ""4.3. Applications to hyperbolic partial differential equations""
""Bibliography"" |
Record Nr. | UNINA-9910787196003321 |
Ferreira David Dos Santos <1975->
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Providence, Rhode Island : , : American Mathematical Society, , 2013 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
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