Selected papers of Takeyuki Hida /:
The topics discussed in this book can be classified into three parts: Gaussian processes; white noise analysis; and variational calculus for random fields. The most general and in fact final representation theory of Gaussian processes is included in this book. This theory is still referred to often...
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| Format: | Elektronisch E-Book |
| Sprache: | English |
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Singapore ; River Edge, N.J. :
World Scientific,
©2001.
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| Online-Zugang: | Volltext |
| Zusammenfassung: | The topics discussed in this book can be classified into three parts: Gaussian processes; white noise analysis; and variational calculus for random fields. The most general and in fact final representation theory of Gaussian processes is included in this book. This theory is still referred to often and its developments are discussed. This book also includes the notes of the series of lectures on white noise analysis delivered in 1975 at Carleton University in Ottawa. They describe the very original idea of introducing the notion of generalized Brownian functionals (nowadays called "generalized white noise functions", and sometimes "Hida distribution"). The topic of variational calculus for random fields will certainly represnt one of the driving research lines for probability theory in the next century, as can be seen from several papers in this volume. |
| Beschreibung: | 1 online resource (xiii, 480 pages) : illustrations |
| Bibliographie: | Includes bibliographical references. |
| ISBN: | 9789812794611 9812794611 1281934550 9781281934550 9786611934552 6611934553 |
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| 240 | 1 | 0 | |a Works. |l English. |f 2001 |
| 245 | 1 | 0 | |a Selected papers of Takeyuki Hida / |c edited by L. Accardi [and others]. |
| 260 | |a Singapore ; |a River Edge, N.J. : |b World Scientific, |c ©2001. | ||
| 300 | |a 1 online resource (xiii, 480 pages) : |b illustrations | ||
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| 504 | |a Includes bibliographical references. | ||
| 588 | 0 | |a Print version record. | |
| 520 | |a The topics discussed in this book can be classified into three parts: Gaussian processes; white noise analysis; and variational calculus for random fields. The most general and in fact final representation theory of Gaussian processes is included in this book. This theory is still referred to often and its developments are discussed. This book also includes the notes of the series of lectures on white noise analysis delivered in 1975 at Carleton University in Ottawa. They describe the very original idea of introducing the notion of generalized Brownian functionals (nowadays called "generalized white noise functions", and sometimes "Hida distribution"). The topic of variational calculus for random fields will certainly represnt one of the driving research lines for probability theory in the next century, as can be seen from several papers in this volume. | ||
| 505 | 0 | |a Preface; Contents; I. General Theory of White Noise Punctionals; [1] Analysis of Brownian Functionals; [2] Quadratic Functionals of Brownian Motion; [3] Generalized Brownian Functionals; [4] The Role of Exponential Functions in the Analysis of Generalized Brownian Functionals; [5] Causal Calculus and An Application to Prediction Theory; [6] Generalized Gaussian Measures; [7] The Impact of Classical Functional Analysis on White Noise Calculus; II. Gaussian and Other Processes; [8] Canonical Representations of Gaussian Processes and Their Applications | |
| 505 | 8 | |a [9] Analysis on Hilbert Space with Reproducing Kernel Arising from Multiple Wiener Integral[10] The Square of a Gaussian Markov Process and Nonlinear Prediction; III. Infinite Dimensional Harmonic Analysis and Rotation Group; [11] Sur I'invariance Projective pour les Processus Symetriques Stables; [12] Note on the Infinite Dimensional Laplacian Operator; [13] L'analyse Harmonique sur l'espace des Fonctions Generalisees; [14] Conformal Invariance of White Noise; [15] Transformations for White Noise Functionals; [16] On Projective Invariance of Brownian Motion | |
| 505 | 8 | |a [17] Infinite Dimensional Rotations and Laplacians in Terms of White Noise Calculus[18] Infinite Dimensional Rotation Group and White Noise Analysis; IV. Quantum Theory; [19] On Quantum Theory in Terms of White Noise; [20] White Noise Analysis and Its Applications to Quantum Dynamics; [21] Boson Fock Representations of Stochastic Processes; V. Feynman Integrals and Random Fields; [22] Generalized Brownian Functionals and the Feynman Integral; [23] Dirichlet Forms and White Noise Analysis; [24] Dirichlet Forms in Terms of White Noise Analysis I: Construction and QFT Examples | |
| 505 | 8 | |a [25] Dirichlet Forms in Terms of White Noise Analysis II: Closability and Diffusion ProcessesVI. Variational Calculus and Random Fields; [26] Multidimensional Parameter White Noise and Gaussian Random Fields; [27] A Note on Generalized Gaussian Random Fields; [28] White Noise and Stochastic Variational Calculus for Gaussian Random Fields; [29] Variational Calculus for Gaussian Random Fields; [30] Innovations for Random Fields; VII. Application to Biology; [31] Functional Word in a Protein I Overlapping Words; Comments on [11] [14] [19] [20] and [21]; Comments on [6] [8] [10] [27] and [29] | |
| 505 | 8 | |a Comments on [9] [11] [14] [16] [17] and [18]Comments on [1] [2] [4] and [5]; Comments on [12] [13] [16] and [17]; Comments on [15] and [31]; Comments on [26] [28] and [30]; Comments on [20] [22] [23] [24] and [25]; My Mathematical Journey; List of Publications | |
| 546 | |a English. | ||
| 650 | 0 | |a Stochastic processes. |0 http://id.loc.gov/authorities/subjects/sh85128181 | |
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| author | Hida, Takeyuki, 1927-2017 |
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| contents | Preface; Contents; I. General Theory of White Noise Punctionals; [1] Analysis of Brownian Functionals; [2] Quadratic Functionals of Brownian Motion; [3] Generalized Brownian Functionals; [4] The Role of Exponential Functions in the Analysis of Generalized Brownian Functionals; [5] Causal Calculus and An Application to Prediction Theory; [6] Generalized Gaussian Measures; [7] The Impact of Classical Functional Analysis on White Noise Calculus; II. Gaussian and Other Processes; [8] Canonical Representations of Gaussian Processes and Their Applications [9] Analysis on Hilbert Space with Reproducing Kernel Arising from Multiple Wiener Integral[10] The Square of a Gaussian Markov Process and Nonlinear Prediction; III. Infinite Dimensional Harmonic Analysis and Rotation Group; [11] Sur I'invariance Projective pour les Processus Symetriques Stables; [12] Note on the Infinite Dimensional Laplacian Operator; [13] L'analyse Harmonique sur l'espace des Fonctions Generalisees; [14] Conformal Invariance of White Noise; [15] Transformations for White Noise Functionals; [16] On Projective Invariance of Brownian Motion [17] Infinite Dimensional Rotations and Laplacians in Terms of White Noise Calculus[18] Infinite Dimensional Rotation Group and White Noise Analysis; IV. Quantum Theory; [19] On Quantum Theory in Terms of White Noise; [20] White Noise Analysis and Its Applications to Quantum Dynamics; [21] Boson Fock Representations of Stochastic Processes; V. Feynman Integrals and Random Fields; [22] Generalized Brownian Functionals and the Feynman Integral; [23] Dirichlet Forms and White Noise Analysis; [24] Dirichlet Forms in Terms of White Noise Analysis I: Construction and QFT Examples [25] Dirichlet Forms in Terms of White Noise Analysis II: Closability and Diffusion ProcessesVI. Variational Calculus and Random Fields; [26] Multidimensional Parameter White Noise and Gaussian Random Fields; [27] A Note on Generalized Gaussian Random Fields; [28] White Noise and Stochastic Variational Calculus for Gaussian Random Fields; [29] Variational Calculus for Gaussian Random Fields; [30] Innovations for Random Fields; VII. Application to Biology; [31] Functional Word in a Protein I Overlapping Words; Comments on [11] [14] [19] [20] and [21]; Comments on [6] [8] [10] [27] and [29] Comments on [9] [11] [14] [16] [17] and [18]Comments on [1] [2] [4] and [5]; Comments on [12] [13] [16] and [17]; Comments on [15] and [31]; Comments on [26] [28] and [30]; Comments on [20] [22] [23] [24] and [25]; My Mathematical Journey; List of Publications |
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| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.2 |
| dewey-search | 519.2 |
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| discipline | Mathematik |
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Infinite Dimensional Harmonic Analysis and Rotation Group; [11] Sur I'invariance Projective pour les Processus Symetriques Stables; [12] Note on the Infinite Dimensional Laplacian Operator; [13] L'analyse Harmonique sur l'espace des Fonctions Generalisees; [14] Conformal Invariance of White Noise; [15] Transformations for White Noise Functionals; [16] On Projective Invariance of Brownian Motion</subfield></datafield><datafield tag="505" ind1="8" ind2=" "><subfield code="a">[17] Infinite Dimensional Rotations and Laplacians in Terms of White Noise Calculus[18] Infinite Dimensional Rotation Group and White Noise Analysis; IV. Quantum Theory; [19] On Quantum Theory in Terms of White Noise; [20] White Noise Analysis and Its Applications to Quantum Dynamics; [21] Boson Fock Representations of Stochastic Processes; V. 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| id | ZDB-4-EBA-ocn646768513 |
| illustrated | Illustrated |
| indexdate | 2024-11-27T13:17:17Z |
| institution | BVB |
| isbn | 9789812794611 9812794611 1281934550 9781281934550 9786611934552 6611934553 |
| language | English |
| oclc_num | 646768513 |
| open_access_boolean | |
| owner | MAIN DE-863 DE-BY-FWS |
| owner_facet | MAIN DE-863 DE-BY-FWS |
| physical | 1 online resource (xiii, 480 pages) : illustrations |
| psigel | ZDB-4-EBA |
| publishDate | 2001 |
| publishDateSearch | 2001 |
| publishDateSort | 2001 |
| publisher | World Scientific, |
| record_format | marc |
| spelling | Hida, Takeyuki, 1927-2017. https://id.oclc.org/worldcat/entity/E39PBJdgYvKWHh38GbT8JwkhpP Works. English. 2001 Selected papers of Takeyuki Hida / edited by L. Accardi [and others]. Singapore ; River Edge, N.J. : World Scientific, ©2001. 1 online resource (xiii, 480 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier Includes bibliographical references. Print version record. The topics discussed in this book can be classified into three parts: Gaussian processes; white noise analysis; and variational calculus for random fields. The most general and in fact final representation theory of Gaussian processes is included in this book. This theory is still referred to often and its developments are discussed. This book also includes the notes of the series of lectures on white noise analysis delivered in 1975 at Carleton University in Ottawa. They describe the very original idea of introducing the notion of generalized Brownian functionals (nowadays called "generalized white noise functions", and sometimes "Hida distribution"). The topic of variational calculus for random fields will certainly represnt one of the driving research lines for probability theory in the next century, as can be seen from several papers in this volume. Preface; Contents; I. General Theory of White Noise Punctionals; [1] Analysis of Brownian Functionals; [2] Quadratic Functionals of Brownian Motion; [3] Generalized Brownian Functionals; [4] The Role of Exponential Functions in the Analysis of Generalized Brownian Functionals; [5] Causal Calculus and An Application to Prediction Theory; [6] Generalized Gaussian Measures; [7] The Impact of Classical Functional Analysis on White Noise Calculus; II. Gaussian and Other Processes; [8] Canonical Representations of Gaussian Processes and Their Applications [9] Analysis on Hilbert Space with Reproducing Kernel Arising from Multiple Wiener Integral[10] The Square of a Gaussian Markov Process and Nonlinear Prediction; III. Infinite Dimensional Harmonic Analysis and Rotation Group; [11] Sur I'invariance Projective pour les Processus Symetriques Stables; [12] Note on the Infinite Dimensional Laplacian Operator; [13] L'analyse Harmonique sur l'espace des Fonctions Generalisees; [14] Conformal Invariance of White Noise; [15] Transformations for White Noise Functionals; [16] On Projective Invariance of Brownian Motion [17] Infinite Dimensional Rotations and Laplacians in Terms of White Noise Calculus[18] Infinite Dimensional Rotation Group and White Noise Analysis; IV. Quantum Theory; [19] On Quantum Theory in Terms of White Noise; [20] White Noise Analysis and Its Applications to Quantum Dynamics; [21] Boson Fock Representations of Stochastic Processes; V. Feynman Integrals and Random Fields; [22] Generalized Brownian Functionals and the Feynman Integral; [23] Dirichlet Forms and White Noise Analysis; [24] Dirichlet Forms in Terms of White Noise Analysis I: Construction and QFT Examples [25] Dirichlet Forms in Terms of White Noise Analysis II: Closability and Diffusion ProcessesVI. Variational Calculus and Random Fields; [26] Multidimensional Parameter White Noise and Gaussian Random Fields; [27] A Note on Generalized Gaussian Random Fields; [28] White Noise and Stochastic Variational Calculus for Gaussian Random Fields; [29] Variational Calculus for Gaussian Random Fields; [30] Innovations for Random Fields; VII. Application to Biology; [31] Functional Word in a Protein I Overlapping Words; Comments on [11] [14] [19] [20] and [21]; Comments on [6] [8] [10] [27] and [29] Comments on [9] [11] [14] [16] [17] and [18]Comments on [1] [2] [4] and [5]; Comments on [12] [13] [16] and [17]; Comments on [15] and [31]; Comments on [26] [28] and [30]; Comments on [20] [22] [23] [24] and [25]; My Mathematical Journey; List of Publications English. Stochastic processes. http://id.loc.gov/authorities/subjects/sh85128181 Probabilities. http://id.loc.gov/authorities/subjects/sh85107090 Processus stochastiques. Probabilités. probability. aat MATHEMATICS Probability & Statistics General. bisacsh Probabilities fast Stochastic processes fast Accardi, L. (Luigi), 1947- https://id.oclc.org/worldcat/entity/E39PBJmp8gy7k3tkJHMt4JH6Kd http://id.loc.gov/authorities/names/n82267829 has work: Selected papers of Takeyuki Hida (Text) https://id.oclc.org/worldcat/entity/E39PCGwwcYWVXh3GkMCmGQpH83 https://id.oclc.org/worldcat/ontology/hasWork Print version: Hida, Takeyuki, 1927- Works. English. 2001. Selected papers of Takeyuki Hida. Singapore ; River Edge, N.J. : World Scientific, ©2001 (DLC) 00063295 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=235909 Volltext |
| spellingShingle | Hida, Takeyuki, 1927-2017 Selected papers of Takeyuki Hida / Preface; Contents; I. General Theory of White Noise Punctionals; [1] Analysis of Brownian Functionals; [2] Quadratic Functionals of Brownian Motion; [3] Generalized Brownian Functionals; [4] The Role of Exponential Functions in the Analysis of Generalized Brownian Functionals; [5] Causal Calculus and An Application to Prediction Theory; [6] Generalized Gaussian Measures; [7] The Impact of Classical Functional Analysis on White Noise Calculus; II. Gaussian and Other Processes; [8] Canonical Representations of Gaussian Processes and Their Applications [9] Analysis on Hilbert Space with Reproducing Kernel Arising from Multiple Wiener Integral[10] The Square of a Gaussian Markov Process and Nonlinear Prediction; III. Infinite Dimensional Harmonic Analysis and Rotation Group; [11] Sur I'invariance Projective pour les Processus Symetriques Stables; [12] Note on the Infinite Dimensional Laplacian Operator; [13] L'analyse Harmonique sur l'espace des Fonctions Generalisees; [14] Conformal Invariance of White Noise; [15] Transformations for White Noise Functionals; [16] On Projective Invariance of Brownian Motion [17] Infinite Dimensional Rotations and Laplacians in Terms of White Noise Calculus[18] Infinite Dimensional Rotation Group and White Noise Analysis; IV. Quantum Theory; [19] On Quantum Theory in Terms of White Noise; [20] White Noise Analysis and Its Applications to Quantum Dynamics; [21] Boson Fock Representations of Stochastic Processes; V. Feynman Integrals and Random Fields; [22] Generalized Brownian Functionals and the Feynman Integral; [23] Dirichlet Forms and White Noise Analysis; [24] Dirichlet Forms in Terms of White Noise Analysis I: Construction and QFT Examples [25] Dirichlet Forms in Terms of White Noise Analysis II: Closability and Diffusion ProcessesVI. Variational Calculus and Random Fields; [26] Multidimensional Parameter White Noise and Gaussian Random Fields; [27] A Note on Generalized Gaussian Random Fields; [28] White Noise and Stochastic Variational Calculus for Gaussian Random Fields; [29] Variational Calculus for Gaussian Random Fields; [30] Innovations for Random Fields; VII. Application to Biology; [31] Functional Word in a Protein I Overlapping Words; Comments on [11] [14] [19] [20] and [21]; Comments on [6] [8] [10] [27] and [29] Comments on [9] [11] [14] [16] [17] and [18]Comments on [1] [2] [4] and [5]; Comments on [12] [13] [16] and [17]; Comments on [15] and [31]; Comments on [26] [28] and [30]; Comments on [20] [22] [23] [24] and [25]; My Mathematical Journey; List of Publications Stochastic processes. http://id.loc.gov/authorities/subjects/sh85128181 Probabilities. http://id.loc.gov/authorities/subjects/sh85107090 Processus stochastiques. Probabilités. probability. aat MATHEMATICS Probability & Statistics General. bisacsh Probabilities fast Stochastic processes fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85128181 http://id.loc.gov/authorities/subjects/sh85107090 |
| title | Selected papers of Takeyuki Hida / |
| title_alt | Works. |
| title_auth | Selected papers of Takeyuki Hida / |
| title_exact_search | Selected papers of Takeyuki Hida / |
| title_full | Selected papers of Takeyuki Hida / edited by L. Accardi [and others]. |
| title_fullStr | Selected papers of Takeyuki Hida / edited by L. Accardi [and others]. |
| title_full_unstemmed | Selected papers of Takeyuki Hida / edited by L. Accardi [and others]. |
| title_short | Selected papers of Takeyuki Hida / |
| title_sort | selected papers of takeyuki hida |
| topic | Stochastic processes. http://id.loc.gov/authorities/subjects/sh85128181 Probabilities. http://id.loc.gov/authorities/subjects/sh85107090 Processus stochastiques. Probabilités. probability. aat MATHEMATICS Probability & Statistics General. bisacsh Probabilities fast Stochastic processes fast |
| topic_facet | Stochastic processes. Probabilities. Processus stochastiques. Probabilités. probability. MATHEMATICS Probability & Statistics General. Probabilities Stochastic processes |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=235909 |
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