Heinrich G.W. Begehr's Books

Complex Analytic Methods For Partial Differential Equations: An Introductory Text

By: Heinrich G W Begehr

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Complex Analytic Methods For Partial Differential Equations: An Introductory Text

By: Heinrich G W Begehr

This is an introductory text for beginners who have a basic knowledge of complex analysis, functional analysis and partial differential equations. Riemann and Riemann-Hilbert boundary value problems are discussed for analytic functions, for inhomogeneous Cauchy-Riemann systems as well as for generalized Beltrami systems. Related problems such as the Poincaré problem, pseudoparabolic systems and complex elliptic second order equations are also considered. Estimates for solutions to linear equations existence and uniqueness results are thus available for related nonlinear problems; the method is explained by constructing entire solutions to nonlinear Beltrami equations. Often problems are discussed just for the unit disc but more general domains, even of multiply connectivity, are involved.

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286

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World Scientific Publishing Company

Published Date

ISBN 10

9813104686

ISBN 13

9789813104686

Further Progress in Analysis

Proceedings of the 6th International ISAAC Congress, Middle East Technical University, Ankara Turkey, 13-18 August 2007

By: International Society for Analysis, Applications, and Computation. Congress,Heinrich G. W. Begehr,A. Okay Celebi,Robert P. Gilbert

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Further Progress in Analysis

Proceedings of the 6th International ISAAC Congress, Middle East Technical University, Ankara Turkey, 13-18 August 2007

By: International Society for Analysis, Applications, and Computation. Congress,Heinrich G. W. Begehr,A. Okay Celebi,Robert P. Gilbert

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.

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Page Count

877

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World Scientific

Published Date

ISBN 10

9812837329

ISBN 13

9789812837325

More Progresses in Analysis

Proceedings of the 5th International ISAAC Congress, Catania, Italy, 25-30 July 2005

By: Heinrich G. W. Begehr,Francesco Nicolosi

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More Progresses in Analysis

Proceedings of the 5th International ISAAC Congress, Catania, Italy, 25-30 July 2005

By: Heinrich G. W. Begehr,Francesco Nicolosi

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.

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1497

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World Scientific

Published Date

ISBN 10

9812835628

ISBN 13

9789812835628

Complex Analytic Methods for Partial Differential Equations

An Introductory Text

By: Heinrich G. W. Begehr

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Complex Analytic Methods for Partial Differential Equations

An Introductory Text

By: Heinrich G. W. Begehr

This is an introductory text for beginners who have a basic knowledge of complex analysis, functional analysis and partial differential equations. Riemann and Riemann-Hilbert boundary value problems are discussed for analytic functions, for inhomogeneous Cauchy-Riemann systems as well as for generalized Beltrami systems. Related problems such as the Poincar problem, pseudoparabolic systems and complex elliptic second order equations are also considered. Estimates for solutions to linear equations existence and uniqueness results are thus available for related nonlinear problems; the method is explained by constructing entire solutions to nonlinear Beltrami equations. Often problems are discussed just for the unit disc but more general domains, even of multiply connectivity, are involved.

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Page Count

288

Publisher

World Scientific

Published Date

ISBN 10

9810215509

ISBN 13

9789810215507

Transformations, Transmutations, and Kernel Functions

By: H Begehr

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Transformations, Transmutations, and Kernel Functions

By: H Begehr

Complex analytical methods are a powerful tool for special partial differential equations and systems. To make these methods applicable for a wider class, transformations and transmutations are used.

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Page Count

286

Publisher

CRC Press

Published Date

ISBN 10

0582091098

ISBN 13

9780582091092

Transformations, Transmutations, and Kernel Functions, Volume II

By: H Begehr

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Transformations, Transmutations, and Kernel Functions, Volume II

By: H Begehr

Complex analytical methods are a powerful tool for special partial differential equations and systems. To make these methods applicable for a wider class, transformations and transmutations are used.

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286

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CRC Press

Published Date

ISBN 10

1000951510

ISBN 13

9781000951516

Partial Differential Equations With Complex Analysis

By: H Begehr,Alan Jeffrey

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Partial Differential Equations With Complex Analysis

By: H Begehr,Alan Jeffrey

A collection of papers on function theory and function-theoretic methods in PDEs. Results are obtained using a variety of complex analytic methods e.g. Bergman and Vekua, geometric function theory and the Riemann-Hilbert boundary value problem.

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Page Count

232

Publisher

Chapman and Hall/CRC

Published Date

ISBN 10

0582096405

ISBN 13

9780582096400

Partial Differential Equations With Real Analysis

By: H Begehr,Alan Jeffrey

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Partial Differential Equations With Real Analysis

By: H Begehr,Alan Jeffrey

This collection of papers of PDEs deals mainly with real analytic and functional analytic methods and consists of two groups of topics. The first deals with results on elliptic, hyperbolic and evolution equations, the second with elasticity.

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Page Count

232

Publisher

Chapman and Hall/CRC

Published Date

ISBN 10

0470220295

ISBN 13

9780470220290

Further Progress in Analysis

Proceedings of the 6th International ISAAC Congress, Middle East Technical University, Ankara Turkey, 13-18 August 2007

By: A. Okay Celebi

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Further Progress in Analysis

Proceedings of the 6th International ISAAC Congress, Middle East Technical University, Ankara Turkey, 13-18 August 2007

By: A. Okay Celebi

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Solve jigsaw puzzle

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Page Count

877

Publisher

World Scientific

Published Date

ISBN 10

9812837337

ISBN 13

9789812837332

More Progresses in Analysis

Proceedings of the 5th International ISAAC Congress, Catania, Italy, 25-30 July 2005

By: Heinrich G. W. Begehr,Francesco Nicolosi

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More Progresses in Analysis

Proceedings of the 5th International ISAAC Congress, Catania, Italy, 25-30 July 2005

By: Heinrich G. W. Begehr,Francesco Nicolosi

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Solve jigsaw puzzle

Age

Page Count

1497

Publisher

World Scientific

Published Date

ISBN 10

9812835628

ISBN 13

9789812835628

Advances in Analysis

Proceedings of the 4th International ISAAC Congress, York University, Toronto, Canada, 11-16 August 2003

By: International Society for Analysis, Applications, and Computation. Congress,Heinrich G. W. Begehr

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Advances in Analysis

Proceedings of the 4th International ISAAC Congress, York University, Toronto, Canada, 11-16 August 2003

By: International Society for Analysis, Applications, and Computation. Congress,Heinrich G. W. Begehr

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

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Page Count

556

Publisher

World Scientific Publishing Company Incorporated

Published Date

ISBN 10

9812563989

ISBN 13

9789812563989

Book's by Heinrich G.W. Begehr

Complex Analytic Methods For Partial Differential Equations: An Introductory Text

Complex Analytic Methods For Partial Differential Equations: An Introductory Text

Further Progress in Analysis

Further Progress in Analysis

More Progresses in Analysis

More Progresses in Analysis

Complex Analytic Methods for Partial Differential Equations

Complex Analytic Methods for Partial Differential Equations

Transformations, Transmutations, and Kernel Functions

Transformations, Transmutations, and Kernel Functions

Transformations, Transmutations, and Kernel Functions, Volume II

Transformations, Transmutations, and Kernel Functions, Volume II

Partial Differential Equations With Complex Analysis

Partial Differential Equations With Complex Analysis

Partial Differential Equations With Real Analysis

Partial Differential Equations With Real Analysis

Further Progress in Analysis

Further Progress in Analysis

More Progresses in Analysis

More Progresses in Analysis

Advances in Analysis

Advances in Analysis

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