Kooperativer Bibliotheksverbund

UID:

Format: 1 Online-Ressource

ISBN: 9783540502104

Series Statement: Lecture notes in mathematics 1344

Additional Edition: Erscheint auch als Druckausgabe ISBN 978-3-540-45952-1

Language: English

Keywords: Potenzialtheorie ; Konferenzschrift

DOI: 10.1007/BFb0103340

URL: Volltext

Author information: Lukeš, Jaroslav 1940-

UID:

Format: 1 Online-Ressource (VIII, 300 Seiten) : , Illustrationen.

ISBN: 978-3-03719-644-1

Series Statement: Heritage of European Mathematics

Additional Edition: Erscheint auch als Druck-Ausgabe ISBN 978-3-03719-144-6

Language: English

Subjects: Mathematics

Keywords: 1893-1968 Loewner, Charles ; Biografie ; Biografie ; Biografie

DOI: 10.4171/144

URL: Volltext

URL: Volltext  (lizenzpflichtig)

URL: Volltext

URL: Volltext

URL: Rezension

URL: Inhaltstext

URL: Volltext

URL: Volltext

Author information: Bečvářová, Martina 1971-

UID:

Format: VIII, 300 S. : , Ill.

ISBN: 978-3-03719-144-6

Series Statement: Heritage of European Mathematics

Language: English

Subjects: Mathematics

Keywords: 1893-1968 Loewner, Charles ; Biografie ; Biografie

URL: Inhaltstext

UID:

Format: X, 278 p. , online resource.

ISBN: 9783540459521

Series Statement: Lecture Notes in Mathematics, 1344

Content: The volume comprises eleven survey papers based on survey lectures delivered at the Conference in Prague in July 1987, which covered various facets of potential theory, including its applications in other areas. The survey papers deal with both classical and abstract potential theory and its relations to partial differential equations, stochastic processes and other branches such as numerical analysis and topology. A collection of problems from potential theory, compiled on the occasion of the conference, is included, with additional commentaries, in the second part of this volume.

Note: Positive harmonic functions and hyperbolicity -- Order and convexity in potential theory -- Probability methods in potential theory -- Layer potential methods for boundary value problems on lipschitz domains -- Fine potential theory -- Balayage spaces — A natural setting for potential theory -- Axiomatic non-linear potential theories -- Application of the potential theory to the study of qualitative properties of solutions of the elliptic and parabolic equations -- Weighted extremal length and beppo levi functions -- An introduction to iterative techniques for potential problems -- Potential theory methods for higher order elliptic equations -- Problems on distortion under conformal mappings -- On the riesz representation of finely superharmonic functions -- Nonlinear elliptic measures -- Problems on a relation between measures and corresponding potentials -- Open problems connected with level sets of harmonic functions -- On the extremal boundary of convex compact measures which represent a non-regular point in choquet simplex -- The problem of construction of the harmonic space based on choquet simplex -- The problem on quasi-interior in choquet simplexes -- Boundary regularity and potential-theoretic operators -- Contractivity of the operator of the arithmetical mean -- Fine maxima -- Repeated singular integrals -- Cofine potential theory -- Essential and principal balayages -- Local connectedness of the fine topology -- On the lusin-menchoff property -- Relations between parabolic capacities -- Isovolumetric inequalities for the least harmonic majorant of |x|p.

In: Springer eBooks

Additional Edition: Printed edition: ISBN 9783540502104

Language: English

Subjects: Mathematics

Keywords: Konferenzschrift

DOI: 10.1007/BFb0103340

URL: http://dx.doi.org/10.1007/BFb0103340

URL: Volltext  (lizenzpflichtig)

URL: Volltext  (Deutschlandweit zugänglich)

URL: Cover

URL: Inhaltstext

UID:

Format: 1 Online-Ressource (xvi, 715 Seiten).

ISBN: 978-3-11-020321-9

Series Statement: De Gruyter studies in mathematics 35

Note: Includes bibliographical references (pages 669-694) and index. - Compact convex sets -- Choquet theory of function spaces -- Affine functions on compact convex sets -- Perfect classes of functions and representation of affine functions -- Simplicial function spaces -- Choquet theory of function cones -- Choquet-like sets -- Topologies on boundaries -- Deeper results on function spaces and compact convex sets -- Continuous and measurable selectors -- Constructions of function spaces -- Function spaces in potential theory and the Dirichlet problem -- Applications. - This ambitious and substantial monograph, written by prominent experts in the field, presents the state of the art of convexity, with an emphasis on the interplay between convex analysis and potential theory; more particularly, between Choquet theory and the Dirichlet problem. The book is unique and self-contained, and it covers a wide range of applications which will appeal to many readers

Additional Edition: Erscheint auch als Druck-Ausgabe ISBN 978-3-11-020320-2

Additional Edition: Erscheint auch als Druck-Ausgabe ISBN 978-3-11-020320-2

Language: English

Subjects: Mathematics

Keywords: Integraldarstellung ; Konvexe Menge ; Banach-Raum ; Potenzialtheorie ; Choquet-Theorie

URL: Volltext

URL: Volltext  (URL des Erstveröffentlichers)

URL: Volltext

URL: Volltext  (URL des Erstveröffentlichers)

URL: Volltext

URL: Volltext  (URL des Erstveröffentlichers)

URL: Volltext

URL: Volltext  (lizenzpflichtig)

URL: lizenzpflichtig

URL: Cover

URL: Inhaltstext

URL: Cover

Author information: Lukeš, Jaroslav 1940-

UID:

Format: 376 p. , online resource.

ISBN: 9781461309819

Content: Within the tradition of meetings devoted to potential theory, a conference on potential theory took place in Prague on 19-24, July 1987. The Conference was organized by the Faculty of Mathematics and Physics, Charles University, with the collaboration of the Institute of Mathematics, Czechoslovak Academy of Sciences, the Department of Mathematics, Czech University of Technology, the Union of Czechoslovak Mathematicians and Physicists, the Czechoslovak Scientific and Technical Society, and supported by IMU. During the Conference, 69 scientific communications from different branches of potential theory were presented; the majority of them are in­ cluded in the present volume. (Papers based on survey lectures delivered at the Conference, its program as well as a collection of problems from potential theory will appear in a special volume of the Lecture Notes Series published by Springer-Verlag). Topics of these communications truly reflect the vast scope of contemporary potential theory. Some contributions deal with applications in physics and engineering, other concern potential­ theoretic aspects of function theory and complex analysis. Numerous papers are devoted to the theory of partial differential equations. Included are also many articles on axiomatic and abstract potential theory with its relations to probability theory. The present volume may thus be of intrest to mathematicians speciali­ zing in the above-mentioned fields and also to everybody interested in the present state of potential theory as a whole.

Note: On Weighted Beppo Levi Functions -- Generalized Cauchy-Riemann Equations and the Positive k-Subharmonie Functions -- Iteration Methods for Potential Problems -- On the Poisson Equation on the Infinite Dimensional Torus -- A Characterization of Elementary Potential Theory -- Wiener Estimates for Solutions of Elliptic Equations in Nondivergence Form -- Approximation by Continuous Potentials -- The Schrö;dinger Equation ? u = ? u in a Neighbourhood of an Isolated Singularity of ? -- A Characterization of the Fine Sheaf Property -- Harmonic Morphisms and Ray Processes -- On Dirichlet’s Boundary Value Problem for Certain Anisotropic Differential and Pseudo-Differential Operators -- Hyperharmonic Cones -- Jump Relations for Surface Potentials in Case of Continuous Densities -- On a Unified Characterization of Capacity -- A Note on the Computation of Green Functions for Sublaplacians on Lie Algebras of Type H -- On Thermoelastic Potential -- The Dirichlet Problem on Ends -- Diffusion Kernels of Logarithmic Type -- A Remark on Capacitary Measures for Diffusion Processes -- On the Convexity of Level Sets for Elliptic and Parabolic Exterior Boundary Value Problems -- Harnack Inequality and Some Characteristics of Non-Regular Points of Simplexes -- Polar Sets in a Nonlinear Potential Theory -- A Sharper Form of a Theorem of Kolmagorov -- Extremal Problems for the Distributed Moment Problem -- On Mathematical Modelling of Non-Newtonian Flow by Perturbation Methods -- On Diffusion Semigroups Generated by Semi-Elliptic Differential Operators in Infinite Dimensions -- The Obstacle Problem in a Non-Linear Potential Theory -- On the Appell Transformation -- Perturbation and Excessive Functions -- Capacities on Harmonic Spaces with Adjoint Structure -- Balayage Spaces on Topological Sums -- Subordination for Balayage Spaces -- On the New Problem in the Potential Gravity Theory -- Stochastic Differentiation Formula and Convergence Theorem for Finely Hyperharmonic Functions -- Morphisms of Stonian Cones -- On the Transition Function of the Infinite Dimensional Ornstein-Uhlenbeck Process Given by the Free Quantum Field -- Finiteness of the Family of Simply Connected Quadrature Domains -- On an Inverse Problem for the Newtonian Potential -- On the Integration of Elastostatic Displacement Equation -- Non-Linear Potential Theory in Lebesgue Spaces with Mixed Norm -- Schroedinger Equations with Discontinuous Solutions -- Polynomial Hulls and Envelopes of Holomorphy -- Green Function and Uniform Harnack Inequality -- On the Asymptotic Behavior of Solutions of a System of Integral Equations of Mixed Boundary Value Problem of Plane Elasticity in a Neighborhood of Corner Points of the Contour.

In: Springer eBooks

Additional Edition: Printed edition: ISBN 9781461282761

Language: English

Keywords: Konferenzschrift ; Konferenzschrift

DOI: 10.1007/978-1-4613-0981-9

URL: http://dx.doi.org/10.1007/978-1-4613-0981-9

URL: Volltext

UID:

Format: 1 online resource (611p.): , 1 frontispiece

Edition: Reprint 2012

ISBN: 9783110899764

Note: Frontmatter -- , Preface -- , Curriculum vitae -- , Ph.D. students of Heinz Bauer -- , Contents -- , The work of Heinz Bauer in measure and integration -- , The work of Heinz Bauer in convexity theory -- , The work of Heinz Bauer in potential theory -- , Reguläre und singuläre Abbildungen eines distributiven Verbandes in einen vollständigen Vektorverband, welche der Funktionalgleichung f(x⋁y) + f(x⋀y) = f(x) + f(y) genügen [R3] -- , Über die Beziehungen einer abstrakten Theorie des Riemann-Integrals zur Theorie Radonscher Maße [R9] -- , Sur l’équivalence des théories de l’intégration selon N. Bourbaki et selon M. H. Stone [R10] -- , Minimalstellen von Funktionen und Extremalpunkte [R13] -- , Konservative Abbildungen lokal-kompakter Räume [R14] -- , Minimalstellen von Funktionen und Extremalpunkte. II [R16] -- , Šilovscher Rand und Dirichletsches Problem [R17] -- , Axiomatische Behandlung des Dirichletschen Problems für elliptische und parabolische Differentialgleichungen [R19] -- , Weiterführung einer axiomatischen Potentialtheorie ohne Kern (Existenz von Potentialen [R20] -- , Kennzeichnung kompakter Simplexe mit abgeschlossener Extremalpunktmenge [R21] -- , Propriétés fines des fonctions hyperharmoniques dans une théorie axiomatique du potentiel [R23] -- , Zum Cauchyschen und Dirichletschen Problem bei elliptischen und parabolischen Differentialgleichungen [R24] -- , Mesures avec une image donnée [R25] -- , The part metric in convex sets [R26] -- , An open mapping theorem for convex sets with only one part [R27] -- , Theorems of Korovkin type for adapted spaces [R29] -- , Convergence of monotone operators [R30] -- , Korovkin approximation in C0(X) [R32] -- , Approximation and abstract boundaries [S12] -- , Halbgruppen und Resolventen in der Potentialtheorie [S15] -- , Harmonic spaces – a survey [S21] -- , Heat balls and Fulks measures [R34] -- , Simplicial function spaces and simplexes [R35] -- , Fine boundary limits of harmonic and caloric functions [R36] -- , Simplices in potential theory [S24] -- , Fine boundary limits and maximal sequences [R39] -- , Behaviour of solutions of elliptic-parabolic differential equations at irregular boundary points [S26] -- , Acknowledgements -- , Bibliography , In English.

Additional Edition: ISBN 978-3-11-185213-3

Additional Edition: ISBN 978-3-11-017350-5

Language: English

Subjects: Mathematics

DOI: 10.1515/9783110899764

URL: https://doi.org/10.1515/9783110899764

URL: https://doi.org/10.1515/9783110899764

URL: https://www.degruyter.com/isbn/9783110899764

URL: Cover

UID:

Format: 1 online resource (X, 278 p.)

Edition: 1st ed. 1988.

Edition: Online edition Springer Lecture Notes Archive ; 041142-5

ISBN: 3-540-45952-9

Series Statement: Lecture Notes in Mathematics, 1344

Content: The volume comprises eleven survey papers based on survey lectures delivered at the Conference in Prague in July 1987, which covered various facets of potential theory, including its applications in other areas. The survey papers deal with both classical and abstract potential theory and its relations to partial differential equations, stochastic processes and other branches such as numerical analysis and topology. A collection of problems from potential theory, compiled on the occasion of the conference, is included, with additional commentaries, in the second part of this volume.

Note: Bibliographic Level Mode of Issuance: Monograph , Positive harmonic functions and hyperbolicity -- Order and convexity in potential theory -- Probability methods in potential theory -- Layer potential methods for boundary value problems on lipschitz domains -- Fine potential theory -- Balayage spaces — A natural setting for potential theory -- Axiomatic non-linear potential theories -- Application of the potential theory to the study of qualitative properties of solutions of the elliptic and parabolic equations -- Weighted extremal length and beppo levi functions -- An introduction to iterative techniques for potential problems -- Potential theory methods for higher order elliptic equations -- Problems on distortion under conformal mappings -- On the riesz representation of finely superharmonic functions -- Nonlinear elliptic measures -- Problems on a relation between measures and corresponding potentials -- Open problems connected with level sets of harmonic functions -- On the extremal boundary of convex compact measures which represent a non-regular point in choquet simplex -- The problem of construction of the harmonic space based on choquet simplex -- The problem on quasi-interior in choquet simplexes -- Boundary regularity and potential-theoretic operators -- Contractivity of the operator of the arithmetical mean -- Fine maxima -- Repeated singular integrals -- Cofine potential theory -- Essential and principal balayages -- Local connectedness of the fine topology -- On the lusin-menchoff property -- Relations between parabolic capacities -- Isovolumetric inequalities for the least harmonic majorant of |x|p. , English

In: Springer eBooks

Additional Edition: ISBN 0-387-50210-6

Additional Edition: ISBN 3-540-50210-6

Language: English

DOI: 10.1007/BFb0103340

URL: http://dx.doi.org/10.1007/BFb0103340

UID:

Format: Online-Ressource (XIV, 597 S.)

ISBN: 9783110899764

Content: Heinz Bauer (1928-2002) was one of the prominent figures in Convex Analysis and Potential Theory in the second half of the 20th century. The Bauer minimum principle and Bauer's work on Silov's boundary and the Dirichlet problem are milestones in convex analysis. Axiomatic potential theory owes him what is known by now as Bauer harmonic spaces. These Selecta collect more than twenty of Bauer's research papers including his seminal papers in Convex Analysis and Potential Theory. Above his research contributions Bauer is best known for his art of writing survey articles. Five of his surveys on different topics are reprinted in this volume. Among them is the well-known article Approximation and Abstract Boundary, for which he was awarded with the Chauvenet Price by the American Mathematical Association in 1980.

Content: Review text: "These papers are show not only the profoundess of Bauer's work, but also the clearness of his writing."Jean-Claud Thomas in: Bulletin of the Belgian Mathematical Society 3/2008 "The present volume is designed to offer to the appreciative reader Bauer's main ideas and can be recommended to everybody interested in these fields. The mathematical community will surely find in it a wealth of material that is pleasurable to read."EMS Newsletter

Additional Edition: ISBN 9783110173505

Additional Edition: Erscheint auch als Druck-Ausgabe Bauer, Heinz, 1928 - 2002 Selecta Berlin [u.a.] : de Gruyter, 2003 ISBN 3110173506

Language: German

Subjects: Mathematics

Keywords: Integration ; Konvexität ; Potenzialtheorie ; Bauer, Heinz 1928-2002 ; Aufsatzsammlung ; Bibliografie

DOI: 10.1515/9783110899764

URL: Volltext  (lizenzpflichtig)

URL: lizenzpflichtig

URL: Cover

URL: Cover

Author information: Jacob, Niels 1955-

Author information: Heyer, Herbert 1936-2018

UID:

Format: 1 Online-Ressource (VIII, 300 Seiten) : , Illustrationen.

ISBN: 978-3-03719-144-6 , 978-3-03719-644-1

Series Statement: Heritage of European Mathematics

Language: English

Subjects: Mathematics

Keywords: 1893-1968 Loewner, Charles ; Biografie

DOI: 10.4171/144

URL: Volltext