| Description |
1 online resource (xx, 646 pages) : illustrations |
| Contents |
I.1. Complex variables and potential theory / T. Aliyev [and others]. Global mapping properties of analytic functions / C. Andreian Cazacu and D. Ghisa. Global mapping properties of rational functions / C. Ballantine and D. Ghisa. Microscopic behaviour of the Stokes flow in a singularly perturbed exterior domain / M. Dalla Riva. Singularly perturbed loads for a nonlinear traction boundary value problem on a singularly perturbed domain / M. Dalla Riva and M. Lanza de Cristoforis. Boundary behaviour of normal functions / P.V. Dovbush. Spatial quasiconformal mappings and directional dilatations / A. Golberg. On finite-difference smoothness of conformal mapping / O.W. Karupu. Structure of non-rectifiable curves and solvability of the jump problem / B.A. Kats -- I.2. Differential equations : Complex and functional analytic methods, applications / H. Begehr, D.-Q. Dai, J. Du). On some qualitative issues for the first order elliptic systems in the plane / G. Akhalaia, G. Makatsaria and N. Manjavidze. Harmonic Green and Neumann representations in a triangle, quarter-disc and octo-plane / H. Begehr [and others]. On some classes of bicomplex pseudoanalytic functions / P. Berglez. Solvability condition of the Riemann-Hilbert monodromy problem / G.K. Giorgadze. A study about one kind of two dimensional integral equation of Volterra type with two interior singular lines / L. Rajabova. 3D rotating Navier-Stokes equations : New method of numerical analysis and families of global exact solutions/ A.G. Khaybullin and R.S. Saks. Phragmen-Lindelof principle for subparabolic functions / A.I. Kheyfits -- I.4. Zeros and gamma lines -- value distributions of real and complex functions / G. Barsegian, G. Csordas. A universal value distribution for arbitrary meromorphic functions in a given domain / G. Barsegian. A method of counting the zeros of the Riccati equation and its application to biological and economical prognoses / G. Barsegian and A. Sargsyan. A Heine-Stieltjes theorem for higher order differential operators / P. Branden. Extended Laguerre inequalities and a criterion for real zeros / D.A. Cardon. New classes of stable polynomials and polynomials with real negative roots / M. Charalambides. On a general concept of order of a meromorphic function / A. Fernandez Arias and J. Perez Alvares. Series universelles construites a l'aide de la fonction zeta de Riemann / A. Poirier -- II. 1. Clifford and quaternion analysis / I. Sabadini, F. Sommen. A higher order integral representation formula in isotonic Clifford analysis / J. Bory Reyes [and others]. A version of Fueter's theorem in Dunkl-Clifford analysis / M. Fei and S. Li. Boundary values of pluriholomorphic functions in C[symbol] / A. Perotti. Some properties of k-biregular function space in real Clifford analysis / Y. Qiao, Y. Xie and H. Yang -- II. 2. Analytical, geometrical and numerical methods in Clifford- and Cayley-Dickson algebras / K. Gurlebeck, V. Kisil, W. Sprobig. Further results in discrete Clifford analysis / N. Faustino. A note on the linear systems in quaternions / S.G. Georgiev. Wavelets beyond admissibility / V.V. Kisil. Ito formula for an integro-differential operator without an associated stochastic process / R. Leandre. Integral theorems in a commutative three-dimensional harmonic algebra / S.A. Plaksa and V.S. Shpakivskyi. Segre quaternions, spectral analysis and a four-dimensional Laplace equation / D.A. Pinotsis -- III. 2. Reproducing kernels and related topics / A. Berlinet, S. Saitoh. Reproducing kernel Hilbert spaces and local polynomial estimation of smooth functionals / B. Abdous and A. Berlinet. Constructive reconstruction from irregular sampling in multi-window spline-type spaces / H.G. Feichtinger and D.M. Onchis. Integral formulas on the boundary of some ball / K. Fujita. Paley-Wiener spaces and their reproducing formulae / J.R. Higgins. Weighted composition operators between some spaces of analytic functions / S.D. Sharma and A.K. Sharma -- III. 3. Modern aspects of the theory of integral transforms / A. Kilbas, S. Saitoh. Numerical real inversion of the Laplace transform by reproducing kernel and multiple-precision arithmetic / H. Fujiwara. Some aspects of modified Kontorovitch-Lebedev integral transforms / J.M. Rappoport -- III. 4. Spaces of differentiable functions of several real variables and applications / V. Burenkov, S. Samko. Image normalization of WHOs in diffraction problems / A. Moura Santos. Weighted estimates for the averaging integral operator and reverse Holder inequalities / B. Opic -- IV. 2. Dispersive equations / F. Hirosawa, M. Reissig. Some L[symbol] -- L[symbol] estimates for hyperbolic systems / M. D'Abbico, S. Lucente and G. Taglialatela. The wave equation in the Einstein and de Sitter spacetime / A. Galstyan, T. Kinoshita and K. Yagdjian. P-evolution operators with characteristics of variable multiplicity / T. Herrmann and M. Reissig. Backward uniqueness for the system of thermoelastic waves with non-Lipschitz continuous coefficients / M. Pivetta -- IV. 3. Control and optimisation of nonlinear evolutionary systems / F. Bucci, I. Lasiecka. Null boundary controllability of the Schrodinger equation with a potential / O. Arena and W. Littman -- V.1. Inverse problems / Y. Kurylev, M. Yamamoto. Optimal combination of data modes in inverse problems : Maximum compatibility estimate / M. Kaasalainen. Explicit and direct representations of the solutions of nonlinear simultaneous equations / M. Yamada and S. Saitoh -- V.2. Stochastic analysis / D. Crisan, T. Lyons. Information and asset pricing / D.C. Brody. Solving backward stochastic differential equations using the cubature method. Application to nonlinear pricing / D. Crisan and K. Manolarakis. A spectral gap for the Brownian bridge measure on hyperbolic spaces / X. Chen, X.-M. Li and B. Wu. Individual path uniqueness of solutions of SDE / A.M. Davie. Periodic homogenization with an interface / M. Hairer and C. Manson. Discrete-time interest rate modelling / L.P. Hughston and A. Macrina. Probabilistic representation for solutions of higher-order elliptic equations / M. Kelbert. On additive time-changes of Feller processes / A. Mijatovic and M. Pistorius. Statistical inference for differential equations driven by rough paths / A. Papavasiliou. Constructing discrete approximations algorithms for financial calculus from weak convergence results / R.S. Tunaru -- V.3. Coercivity and functional inequalities / D. Bakry, B. Zegarlinski. Convexity along vector fields and applications to equations of Monge-Ampere type / M. Bardi and F. Dragoni. Phi-entropy inequalities and Fokker-Planck equations / F. Bolley and I. Gentil. Isoperimetry for product of heavy tails distributions / N. Gozlan, C. Roberto and P.-M. Samson. Hypoellipticity in infinite dimensions / M. Hairer. Isoperimetry for spherically symmetric log-concave measures / N. Huet. Operators on the Heisenberg group with discrete spectra / J. Inglis. Liggett-type inequalities and interacting particle systems : The Gaussian case / J. Inglis, M. Neklyudov and B. Zegarlinski. Enlarging the functional space of decay estimates on semigroups / C. Mouhot. The q-logarithmic Sobolev inequality in infinite dimensions / I. Papageorgiou -- V.4. Dynamical systems / J. Lamb, S. Luzzatto. Homogeneous vector fields and meromorphic connections / M. Abate. Period annuli and positive solutions of nonlinear boundary value problems / S. Atslega and F. Sadyrbaev. Global limit cycle bifurcations in a biomedical model / V.A. Gaiko -- V.5. Functional differential and difference equations / L. Berezansky, J. Diblik, A. Zafer. Asymptotic analysis of gene regulatory networks with delay effects / Y. Nepomnyashchikh [and others]. On zero controllability of evolution equations by scalar control / B. Shklyar -- V.6. Mathematical biology / R. Gilbert. New computer technologies for construction and numerical analysis of mathematical models of molecular genetic systems / I.R. Akberdin [and others]. Investigation of the acoustic properties of the cancellous bone / R.P. Gilbert, K. Hackl and S. Ilic -- Others (local organising committee). The relationship between Bezoutian matrix and Newton's matrix of divided differences / R.G. Airapetyan. Interpolation beyond the interval of convergence : An extension of Erdos-Turan theorem / H. Al-Attas and M.A. Bokhari. To solutions of the one non-divergent type parabolic equation with double non-linearity / M. Aripov and S.A. Sadullaeva. Long-time behavior of periodic Navier-Stokes equations in critical spaces / J. Benameur and R. Selmi. Regularity theory in asymptotic extensions of topological modules and algebras / M.F. Hasler. Some fixed point theorems on the cone Banach spaces / E. Karapinar. A boundary value problem for 3D elliptic equations with singular coefficients / E.T. Karimov. Numerical modelling of three-dimensional turbulent stream of reacting gas, implying from rectangle form nozzle, on base of k -- [symbol] model of turbulence / S. Khodjiev. Sequence spaces of invariant means and some matrix transformations / M. Mursaleen. Motion stabilization of a solid body with fixed point / Z. Rakisheva |
| Summary |
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 |
| Bibliography |
Includes bibliographical references and index |
| Notes |
Print version record |
| Subject |
Mathematical analysis -- Congresses
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Mathematical physics -- Congresses
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MATHEMATICS -- Calculus.
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MATHEMATICS -- Mathematical Analysis.
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Mathematical analysis
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Mathematical physics
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| Genre/Form |
Conference papers and proceedings
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| Form |
Electronic book
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| Author |
Ruzhansky, M. (Michael)
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Wirth, Jens
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| ISBN |
9789814313179 |
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9814313173 |
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