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New Trends in Analysis and Interdisciplinary Applications [electronic resource] : Selected Contributions of the 10th ISAAC Congress, Macau 2015 / edited by Pei Dang, Min Ku, Tao Qian, Luigi G. Rodino.

Contributor(s): Dang, Pei [editor.] | Ku, Min [editor.] | Qian, Tao [editor.] | Rodino, Luigi G [editor.] | SpringerLink (Online service).
Material type: TextTextSeries: Research Perspectives: Publisher: Cham : Springer International Publishing : Imprint: Birkhäuser, 2017Description: LXI, 609 p. 67 illus., 51 illus. in color. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783319488127.Subject(s): Functions of complex variables | Differential equations, partial | Functions of a Complex Variable | Several Complex Variables and Analytic Spaces | Partial Differential EquationsAdditional physical formats: Printed edition:: No title; Printed edition:: No titleDDC classification: 515.9 Online resources: Click here to access online
Contents:
Complex-analytic methods for applied sciences -- Complex variables and potential theory -- Generalized functions -- Harmonic analysis and PDEs -- Integral transforms and reproducing kernels -- Nonlinear partial differential equations -- Pseudo-differential operators -- Quaternionic and Clifford Analysis -- Recent progress in evolution equations -- Advances in fractional calculus and applications -- Analytic and harmonic function spaces and their operators -- Complex and functional analytic methods for differential equations and applications -- Complex geometry -- Function theory of one and several complex variables -- Numerical analysis of PDEs -- Qualitative behaviour of PDEs in fluid mechanics and related topics -- Random matrices -- Recent advances in sequence spaces -- Signal and image analysis and application -- Wavelet theory and related topics -- Fourier analysis and approximation theory.
In: Springer eBooksSummary: 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.
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Complex-analytic methods for applied sciences -- Complex variables and potential theory -- Generalized functions -- Harmonic analysis and PDEs -- Integral transforms and reproducing kernels -- Nonlinear partial differential equations -- Pseudo-differential operators -- Quaternionic and Clifford Analysis -- Recent progress in evolution equations -- Advances in fractional calculus and applications -- Analytic and harmonic function spaces and their operators -- Complex and functional analytic methods for differential equations and applications -- Complex geometry -- Function theory of one and several complex variables -- Numerical analysis of PDEs -- Qualitative behaviour of PDEs in fluid mechanics and related topics -- Random matrices -- Recent advances in sequence spaces -- Signal and image analysis and application -- Wavelet theory and related topics -- Fourier analysis and approximation theory.

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.

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