03571nam 2200637 450 991048001010332120170822144208.01-4704-0378-1(CKB)3360000000464964(EBL)3114349(SSID)ssj0000973838(PQKBManifestationID)11630734(PQKBTitleCode)TC0000973838(PQKBWorkID)10988935(PQKB)11209317(MiAaPQ)EBC3114349(PPN)19541666X(EXLCZ)99336000000046496420030318h20032003 uy| 0engur|n|---|||||txtccrQuasianalytic monogenic solutions of a cohomological equation /S. Marmi, D. SauzinProvidence, Rhode Island :American Mathematical Society,[2003]©20031 online resource (98 p.)Memoirs of the American Mathematical Society,0065-9266 ;number 780"Volume 164, number 780 (second of 5 numbers)."0-8218-3325-1 Includes bibliographical references (pages 81-83).""Contents""; ""Chapter 1. Introduction""; ""Chapter 2. Monogenic Properties of the Solutions of the Cohomological Equation""; ""Â2.1. C[sup(1)]â€?holomorphic and C#8734; â€?holomorphic functions""; ""Â2.2. Borel's monogenic functions""; ""Â2.3. Domains of monogenic regularity: The sequence (K[sub(j)])""; ""Â2.4. Monogenic regularity of the solutions""; ""Â2.5. Whitney smoothness of monogenic functions""; ""Chapter 3. Carleman Classes at Diophantine Points""; ""Â3.1. Carleman and Gevrey classes""; ""Â3.2. Gevrey asymptotics at Diophantine points for monogenic functions""""Â3.3. Borel transform at quadratic irrationals for the fundamental solution""""Â3.4. Deduction of Theorem 3.4 from Theorem 3.5""; ""Â3.5. Proof of Theorem 3.5""; ""Chapter 4. Resummation at Resonances and Constantâ€?Type Points""; ""Â4.1. Asymptotic expansions at resonances""; ""Â4.2. Resurgence of the fundamental solution at resonances""; ""Â4.3. Proof of Theorems 4.2 and 4.3""; ""Â4.4. A property of quasianalyticity at constantâ€?type points""; ""Chapter 5. Conclusions and Applications""; ""Â5.1. Gammel's series""""Â5.2. An application to the problem of linearization of analytic diffeomorphisms of the circle""""Â5.3. An application to a nonlinear small divisor problem (semiâ€?standard map)""; ""Appendix""; ""ÂA.l. Hadamard's product""; ""ÂA.2. Some elementary properties of the fundamental solution""; ""ÂA.3. Some arithmetical results. Continued fractions""; ""ÂA.4. Proof of Lemma 3.3""; ""ÂA.5. Reminder about Borelâ€?Laplace summation""; ""Bibliography""Memoirs of the American Mathematical Society ;no. 780.Monogenic functionsSmall divisorsQuasianalytic functionsContinued fractionsElectronic books.Monogenic functions.Small divisors.Quasianalytic functions.Continued fractions.510 s515/.352Marmi S(Stefano),1963-42049Sauzin D.1966-MiAaPQMiAaPQMiAaPQBOOK9910480010103321Quasianalytic monogenic solutions of a cohomological equation2286756UNINA02769nam 2200433 450 991082102160332120200317144013.03-8325-8823-X(CKB)4100000010135226(MiAaPQ)EBC60328685e469732-2230-4da0-8c54-4e00b0dd2d03(EXLCZ)99410000001013522620200317d2016 uy 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierAnalysis of speech of people with parkinson's disease /Juan Rafael Orozco-ArroyaveBerlin :Logos Verlag Berlin,[2016]©20161 online resource (138 pages) illustrationsStudien zur Mustererkennung ;Band 41PublicationDate: 201611113-8325-4361-9 Includes bibliographical references.Long description: The analysis of speech of people with Parkinson's disease is an interesting and highly relevant topic that has attracted the research community during several years. The advances in digital signal processing and pattern recognition have motivated the research community to work on the development of computational tools to perform automatic analysis of speech. Most of the contributions on this topic are focused on sustained phonation of vowels and only consider recordings of one language. This thesis addresses two problems considering recordings of sustained phonations of vowels and continuous speech signals: (1) the automatic classification of Parkinson's patients vs. healthy speakers, and (2) the prediction of the neurological state of the patients according to the motor section of the Unified Parkinson's Disease Rating Scale (UPDRS). Recordings of three languages are considered: Spanish, German, and Czech. German and Czech data were provided by other researchers, and Spanish data were recorded in Medellín, Colombia, during the development of this work. Besides the classical approaches to assess pathological speech, a new method to model articulation deficits of Parkinson's patients is proposed. This new articulation modeling approach shows to be more accurate and robust than others to discriminate between Parkinson's patients and healthy speakers in the three considered languages.Studien zur Mustererkennung ;Band 41.Parkinson's diseaseParkinson's disease.616.833Orozco Arroyave Juan Rafael1677735MiAaPQMiAaPQMiAaPQBOOK9910821021603321Analysis of speech of people with parkinson's disease4044836UNINA