Advances In Analysis Proceedings Of The 4th International Isaac Congress
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Advances In Analysis - Proceedings Of The 4th International Isaac Congress by Heinrich G W Begehr,Robert Pertsch Gilbert,Man-wah Wong,Martin E Muldoon Pdf
This authoritative volume comprises the plenary lectures and articles by many of the field's leading researchers who were brought together for the fourth time at the congress of the International Society for Analysis, its Applications and Computation (ISAAC).A wide spectrum of topics in modern analysis is covered by the fully refereed contributions, such as complex analysis, nonlinear analysis, inverse problems, wavelets, signals and images. In particular, important areas — not given special emphasis in previous meetings — include special functions and orthogonal polynomials, harmonic analysis, and partial differential equations.
International ISAAC (International Society for Analysis, its Applications and Computation) Congresses have been held every second year since 1997. The proceedings report on a regular basis on the progresses of the field in recent years, where the most active areas in analysis, its applications and computation are covered. Plenary lectures also highlight recent results. This volume concentrates mainly on partial differential equations, but also includes function spaces, operator theory, integral transforms and equations, potential theory, complex analysis and generalizations, stochastic analysis, inverse problems, homogenization, continuum mechanics, mathematical biology and medicine. With over 350 participants attending the congress, the book comprises 140 papers from 211 authors. The volume also serves for transferring personal information about the ISAAC and its members. This volume includes citations for O. Besov, V. Burenkov and R.P. Gilbert on the occasion of their anniversaries.
New Trends in Analysis and Interdisciplinary Applications by Pei Dang,Min Ku,Tao Qian,Luigi G. Rodino Pdf
This book presents a collection of papers from the 10th ISAAC Congress 2015, held in Macau, China. The papers, prepared by respected international experts, address recent results in Mathematics, with a special focus on Analysis. By structuring the content according to the various mathematical topics, the volume offers specialists and non-specialists alike an excellent source of information on the state-of-the-art in Mathematical Analysis and its interdisciplinary applications.
Progress In Analysis, Proceedings Of The 3rd Isaac Congress (In 2 Volumes) by Heinrich G W Begehr,Man-wah Wong,Robert Pertsch Gilbert Pdf
The biannual ISAAC congresses provide information about recent progress in the whole area of analysis including applications and computation. This book constitutes the proceedings of the third meeting.
Mathematical Software -- ICMS 2014 by Hoon Hong,Chee Yap Pdf
This book constitutes the proceedings of the 4th International Conference on Mathematical Software, ICMS 2014, held in Seoul, South Korea, in August 2014. The 108 papers included in this volume were carefully reviewed and selected from 150 submissions. The papers are organized in topical sections named: invited; exploration; group; coding; topology; algebraic; geometry; surfaces; reasoning; special; Groebner; triangular; parametric; interfaces and general.
Theory of Reproducing Kernels and Applications by Saburou Saitoh,Yoshihiro Sawano Pdf
This book provides a large extension of the general theory of reproducing kernels published by N. Aronszajn in 1950, with many concrete applications.In Chapter 1, many concrete reproducing kernels are first introduced with detailed information. Chapter 2 presents a general and global theory of reproducing kernels with basic applications in a self-contained way. Many fundamental operations among reproducing kernel Hilbert spaces are dealt with. Chapter 2 is the heart of this book.Chapter 3 is devoted to the Tikhonov regularization using the theory of reproducing kernels with applications to numerical and practical solutions of bounded linear operator equations.In Chapter 4, the numerical real inversion formulas of the Laplace transform are presented by applying the Tikhonov regularization, where the reproducing kernels play a key role in the results.Chapter 5 deals with ordinary differential equations; Chapter 6 includes many concrete results for various fundamental partial differential equations. In Chapter 7, typical integral equations are presented with discretization methods. These chapters are applications of the general theories of Chapter 3 with the purpose of practical and numerical constructions of the solutions.In Chapter 8, hot topics on reproducing kernels are presented; namely, norm inequalities, convolution inequalities, inversion of an arbitrary matrix, representations of inverse mappings, identifications of nonlinear systems, sampling theory, statistical learning theory and membership problems. Relationships among eigen-functions, initial value problems for linear partial differential equations, and reproducing kernels are also presented. Further, new fundamental results on generalized reproducing kernels, generalized delta functions, generalized reproducing kernel Hilbert spaces, andas well, a general integral transform theory are introduced.In three Appendices, the deep theory of Akira Yamada discussing the equality problems in nonlinear norm inequalities, Yamada's unified and generalized inequalities for Opial's inequalities and the concrete and explicit integral representation of the implicit functions are presented.
International Society for Analysis, Applications, and Computation. Congress,Heinrich G. W. Begehr
Author : International Society for Analysis, Applications, and Computation. Congress,Heinrich G. W. Begehr Publisher : World Scientific Publishing Company Incorporated Page : 556 pages File Size : 49,9 Mb Release : 2005 Category : Mathematics ISBN : 9812563989
Advances in Analysis by International Society for Analysis, Applications, and Computation. Congress,Heinrich G. W. Begehr Pdf
Plenary lectures. 1. Evaluation of Sylvester type determinants using orthogonal polynomials / R. Askey. 2. Geometric analysis on subRiemannian manifolds / O. Calin, D. C. Chang and P. Greiner. 3. A survey of Hardy type theorems / S. Thangavelu -- Approximation theory. 4. Optimal sk-spline approximation of Sobolev's classes on the 2-sphere / C. Grandison and A. Kushpel. 5. sk-spline approximation on the Torus / A. Kushpel. 6. Entropy numbers of Sobolev and Besov classes on homogeneous spaces / A. Kushpel and S. Tozoni. 7. Operator equations and best approximation problems in reproducing kernel Hilbert spaces with Tikhonov regularization / S. Saitoh, T. Matsuura and M. Asaduzzaman -- Banach apaces of analytic functions. 8. Finite Fourier transforms and the zeros of the Riemann [symbol]-function / G. Csordas and C. C. Yang. 9. B[symbol], Q[symbol] spaces and harmonic majorants / E. Ramírez de Arellano, L. F. Reséndis O. and L. M. Tovar S. 10. The (t,[symbol])-lattice and decomposition theory for function spaces / Irfan Ul-haq and Zhijian Wu -- Boundary value problems and integral equations. 11. On a generalization of the N. A. Davydov theorem / O. F. Gerus and M. Shapiro. 12. Dual integral equations method for some mixed boundary value problems / J. M. Rappoport. 13. One parameter-dependent nonlinear elliptic boundary value problems arising in population dynamics / K. Umezu -- Complex and functional analytic methods in partial differential equations. 14. Combined integral representations / H. Begehr. 15. Remarks on quantum differential operators / R. Carroll. 16. The inverse monodromy problem in a class of Knizhnik-Zamolodchikov equations / V. Golubeva. 17. Reduction of two dimensional Neumann and mixed boundary value problems to Dirichlet boundary value problems / M. Jahanshahi. 18. Lipschitz type inequalities for a domain dependent Neumann Eigenvalue problem for the Laplace operator / Pier Domenico Lamberti and Massimo Lanza de Cristoforis. 19. Half Robin problems for the Dirac operator in the unit ball of R[symbol](m[symbol]3) / Zhenyuan Xu -- Harmonic analysis and partial differential equations. 20. Problems related to the analytic representation of tempered distributions / C. Carton-Lebrun. 21. Strong unique continuation for generalized Baouendi-Grushin operators / N. Garofalo and D. Vassilev. 22. Schoenberg's theorem for positive definite functions on Heisenberg groups / J. Kim and M. W. Wong. 23. Weak and strong solutions for pseudo-differential operators / M. W. Wong -- Hemivariational inequalities and applications. 24. Comparison results for quasilinear elliptic hemivariational inequalities / S. Carl. 25. Hemivariational inequalities modeling dynamic viscoelastic contact problems with friction / S. Migórski. 26. Sensitivity analysis for generalized variational and hemivariational inequalities / B. S. Mordukhovich -- Hyperbolic problems : degeneracies, nonlinearities and global existence. 27. A smoothing property of Schrodinger equations and a global existence result for derivative nonlinear equations / M. Sugimoto and M. Ruzhansky. 28. Existence and blow up for a wave equation with a cubic convolution / K. Tsutaya. 29. Zeros and signs of solutions for some reaction-diffusion systems / H. Uesaka -- Inverse problems. 30. Constructions of approximate solutions for linear differential equations by reproducing kernels and inverse problems / M. Asaduzzaman, T. Matsuura and S. Saitoh. 31. Ultrasound as a diagnostic tool to determine osteoporosis / J. L. Buchanan, R. P. Gilbert and Y. Xu. 32. Remarks on quantum KdV / R. Carroll. 33. A mathematical model of ductal carcinoma in situ and its characteristic patterns / Y. Xu -- Nonlinear analysis and applications. 34. Classical dynamics of quantum variations / M. Kondratieva and S. Sadov -- Orthogonal polynomials and special functions. 35. On the zeros of a transcendental function / M. V. DeFazio and M. E. Muldoon. 36. Evaluation of Sylvester type determinants using block-triangularization / O. Holtz. 37. Square summability with geometric weight for classical orthogonal expansions / D. Karp. 38. The first positive zeros of cylinder functions and of their derivatives / L. Lorch -- Reproducing kernels and related topics. 39. Bergman kernel for complex harmonic functions on some balls / K. Fujita. 40. Applications of reproducing kernels to best appoximations, Tikhonov regularizations and inverse problems / S. Saitoh. 41. Equality conditions for general norm inequalities in reproducing kernel Hilbert spaces / A. Yamada -- Time-frequency analysis, wavelets and applications. 42. Comparing multiresolution SVD with other methods for image compression / R. Ashino ... [et al.]. 43. Non-translation-invariance in principal shift-invariant spaces / J. A. Hogan and J. D. Lakey. 44. Time-frequency spectra of music / J. S. Walker and A. J. Potts -- Toeplitz-like structures in analysis and applied sciences. 45. Dynamics of spectra of Toeplitz operators / S. Grudsky and N. Vasilevski. 46. Operator equalities for singular integral operators and their applications / O. Karelin -- Value distributions of complex functions, generalizations and related topics. 47. On sets of range uniqueness for entire functions / M. T. Alsugaray. 48. Analytic mappings in the tree Mult(K[x]) / K. Boussaf, A. Escassut and N. Maïnetti. 49. Using level curves to count non-real zeros of f" / S. Edwards. 50. The functional equation P(f) = Q(g) in a p-Adic field / A. Escassut and C. C. Yang. 51. Conjectures and counterexamples in dynamics of rational semigroups / R. Stankewitz, T. Sugawa and H. Sumi
International Society for Analysis, Applications, and Computation. Congress
Author : International Society for Analysis, Applications, and Computation. Congress Publisher : World Scientific Page : 737 pages File Size : 42,5 Mb Release : 2003-01-01 Category : Mathematics ISBN : 9789812794253
Progress in Analysis by International Society for Analysis, Applications, and Computation. Congress Pdf
The biannual ISAAC congresses provide information about recent progress in the whole area of analysis including applications and computation. This book constitutes the proceedings of the third meeting. Contents: .: Volume 1: Function Spaces and Fractional Calculus (V I Burenkov & S Samko); Asymptotic Decomposition (Methods of Small Parameters, Averaging Theory) (J A Dubinski); Integral Transforms and Applications (S Saitoh et al.); Analytic Functionals, Hyperfunctions and Generalized Functions (M Morimoto & H Komatsu); Geometric Function Theory (G Kohr & M Kohr); omplex Function Spaces (R Aulaskari & I Laine); Value Distribution Theory and Complex Dynamics (C C Yang); Clifford Analysis (K Grlebeck et al.); Octonions (T Dray & C Monogue); Nonlinear Potential Theory (O Martio); Classical and Fine Potential Theory, Holomorphic and Finely Holomorphic Functions (P Tamrazov); Differential Geometry and Control Theory for PDEs (B Gulliver et al.); Differential Geometry and Quantum Physics (-); Dynamical Systems (B Fiedler); Attractors for Partial Differential Equations (G Raugel); Spectral Theory of Differential Operators (B Vainberg); Pseudodifferential Operators, Quantization and Signal Analysis (M W Wong); Microlocal Analysis (B-W Schulze & M Korey); Volume 2: Complex and Functional Analytic Methods in PDEs (A Cialdea et al.); Geometric Properties of Solutions of PDEs (R Magnanini); Qualitative Properties of Solutions of Hyperbolic and SchrAdinger Equations (M Reissig & K Yagdjian); Homogenization Moving Boundaries and Porous Media (A Bourgeat & R P Gilbert); Constructive Methods in Applied Problems (P Krutitskii); Waves in Complex Media (R P Gilbert & A Wirgin); Nonlinear Waves (I Lasiecka & H Koch); Mathematical Analysis of Problems in Solid Mechanics (K Hackl & X Li); Direct and Inverse Scattering (L Fishman); Inverse Problems (G N Makrakis et al.); Mathematical Methods in Non-Destructive Evaluation and Non-Destructive Testing (A Wirgin); Numerical Methods for PDEs, Systems and Optimization (A Ben-Israel & I Herrera). Readership: Graduate students and researchers in real, complex, numerical analysis, as well as mathematical physics."
International Society for Analysis, Applications, and Computation. Congress,Heinrich G. W. Begehr,A. Okay Celebi,Robert P. Gilbert
Author : International Society for Analysis, Applications, and Computation. Congress,Heinrich G. W. Begehr,A. Okay Celebi,Robert P. Gilbert Publisher : World Scientific Page : 877 pages File Size : 44,6 Mb Release : 2009 Category : Mathematics ISBN : 9789812837325
Further Progress in Analysis by International Society for Analysis, Applications, and Computation. Congress,Heinrich G. W. Begehr,A. Okay Celebi,Robert P. Gilbert Pdf
The ISAAC (International Society for Analysis, its Applications and Computation) Congress, which has been held every second year since 1997, covers the major progress in analysis, applications and computation in recent years. In this proceedings volume, plenary lectures highlight the recent research results, while 17 sessions organized by well-known specialists reflect the state of the art of important subfields. This volume concentrates on partial differential equations, function spaces, operator theory, integral transforms and equations, potential theory, complex analysis and generalizations, inverse problems, functional differential and difference equations and integrable systems.
Analysis, Applications, and Computations by Uwe Kähler,Michael Reissig,Irene Sabadini,Jasson Vindas Pdf
This volume contains the contributions of the participants of the 13th International ISAAC Congress 2021, held in Ghent, Belgium. The papers, written by respected international experts, address recent results in mathematics, with a special focus on analysis. The volume provides to both specialists and non-specialists an excellent source of information on current research in mathematical analysis and its various interdisciplinary applications.
Advances in Analysis and Geometry by Tao Qian,Thomas Hempfling,Alan McIntosh,Franciscus Sommen Pdf
At the heart of Clifford analysis is the study of systems of special partial differential operators that arise naturally from the use of Clifford algebra as a calculus tool. This book focuses on the study of Dirac operators and related ones, together with applications in mathematics, physics and engineering. This book collects refereed papers from a satellite conference to the ICM 2002, plus invited contributions. All articles contain unpublished new results.
Progress In Analysis And Its Applications - Proceedings Of The 7th International Isaac Congress by Michael Ruzhansky,Jens Wirth Pdf
The International Society for Analysis, its Applications and Computation (ISAAC) has held its international congresses biennially since 1997. This proceedings volume reports on the progress in analysis, applications and computation in recent years as covered and discussed at the 7th ISAAC Congress. This volume includes papers on partial differential equations, function spaces, operator theory, integral transforms and equations, potential theory, complex analysis and generalizations, stochastic analysis, inverse problems, homogenization, continuum mechanics, mathematical biology and medicine. With over 500 participants from almost 60 countries attending the congress, the book comprises a broad selection of contributions in different topics.
Analysis, Applications, and Computations by Uwe Kähler,Michael Reissig,Irene Sabadini,Jasson Vindas Pdf
This volume contains the contributions of the participants of the 13th International ISAAC Congress 2021, held in Ghent, Belgium. The papers, written by respected international experts, address recent results in mathematics, with a special focus on analysis. The volume provides to both specialists and non-specialists an excellent source of information on current research in mathematical analysis and its various interdisciplinary applications.