The Resource Advances in Harmonic Analysis and Operator Theory : The Stefan Samko Anniversary Volume, edited by Alexandre Almeida, Luís Castro, Frank-Olme Speck, (electronic resource)

Advances in Harmonic Analysis and Operator Theory : The Stefan Samko Anniversary Volume, edited by Alexandre Almeida, Luís Castro, Frank-Olme Speck, (electronic resource)

Label
Advances in Harmonic Analysis and Operator Theory : The Stefan Samko Anniversary Volume
Title
Advances in Harmonic Analysis and Operator Theory
Title remainder
The Stefan Samko Anniversary Volume
Statement of responsibility
edited by Alexandre Almeida, Luís Castro, Frank-Olme Speck
Contributor
Editor
Editor
Subject
Language
  • eng
  • eng
Summary
This volume is dedicated to Professor Stefan Samko on the occasion of his seventieth birthday. The contributions display the range of his scientific interests in harmonic analysis and operator theory. Particular attention is paid to fractional integrals and derivatives, singular, hypersingular and potential operators in variable exponent spaces, pseudodifferential operators in various modern function and distribution spaces, as well as related applications, to mention but a few. Most of the contributions were originally presented at two conferences in Lisbon and Aveiro, Portugal, in June‒July 2011
Member of
Is Subseries of
Dewey number
515.2433
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsedt
  • iBZadvomInA
  • c36kLtzUDpc
  • -T4PvE-o22U
Language note
English
LC call number
QA404.7-405
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
  • Almeida, Alexandre.
  • Castro, Luís.
  • Speck, Frank-Olme.
Series statement
Operator Theory: Advances and Applications,
http://library.link/vocab/subjectName
  • Potential theory (Mathematics)
  • Harmonic analysis
  • Operator theory
  • Potential Theory
  • Abstract Harmonic Analysis
  • Operator Theory
Label
Advances in Harmonic Analysis and Operator Theory : The Stefan Samko Anniversary Volume, edited by Alexandre Almeida, Luís Castro, Frank-Olme Speck, (electronic resource)
Instantiates
Publication
Note
Description based upon print version of record
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
Contents
  • Advances in Harmonic Analysis and Operator Theory; The Stefan Samko Anniversary Volume; Contents; Preface; Stefan G. Samko - Mathematician, Teacher and Man; 1. Introduction; 2. Scientific origin from BVP and SIE, 1965-1974; 3. Research in Fractional Calculus (FC), 1967-1996; 3.1. One-dimensional Fractional Calculus; 3.1.1. Relations between left- and right-hand sided fractional integration; 3.1.2. Estimates of moduli of continuity; 3.1.3. In collaboration with Bertram Ross; 3.1.4. Other; 3.2. Multidimensional FC; 4. Equations with involutive operators, 1970-1977
  • 5. Function spaces of fractional smoothness, influence of Steklov Mathematical Institute5.1. Hypersingular integrals and spaces of the type of Riesz potentials; 5.2. Potential type operators with homogeneous kernels; 5.3. Spherical HSI and potentials; 6. Portugal period; after 1995; 6.1. FC continued; constant exponents; 6.1.1. Approximative inverses for the fractional type operators; 6.1.2. Local nature of Riesz potential operators; 6.1.3. Miscellaneous; 6.2. Equations with involutive operators, continued; 6.3. Variable Exponent Analysis: 1993-2003
  • 6.4. Variable Exponent Analysis in collaboration with V. Kokilashvili, 2001-present6.5. Variable Exponent Analysis, continued: 2004-present; 6.5.1. More on weighted estimates of potential operators; 6.5.2. Studies related to HSI and the range Iα() (Lp()) in case of variable exponents; 6.5.3. Morrey and Campanato spaces; 6.5.4. PDO in variable exponent setting; 6.5.5. Miscellaneous in variable exponent analysis; 7. Miscellaneous; References; The Role of S.G. Samko in the Establishing and Development of the Theory of Fractional Differential Equations and Related Integral Operators
  • 1. Main aspects of the modern theory of fractional differential equations1.1. Elements of the classification; Ordinary fractional differential equations; Fractional partial differential equations; 1.2. Methods of investigation; Treating problems:; Types of solutions:; Methods of solution:; 2. Basic components of investigations related to fractional differential equations; 2.1. Development of fractional calculus; 2.2. Development of the theory of first-order integral equations; 2.3. Development of methods of integral transforms; 2.4. Development of the theory of special functions
  • 2.5. Development of multidimensional fractional calculus3. The role of Professor S.G. Samko in the creation and development of the theory of fractional differential equations; 3.1. Singular integral equations and boundary value problems; 3.2. Abel integral equations and their generalizations; 3.3. Integral equations with weak singularities; 3.4. Convolution type integral equations; 3.5. Fractional integro-differentiation; 3.6. Fractional powers of operators; 3.7. The theory of (one- and multidimensional) potential type operators; 4. Conclusion; Acknowledgment; References
  • Energy Flow Above the Threshold of Tunnel Effect
Dimensions
unknown
Edition
1st ed. 2013.
Extent
1 online resource (387 p.)
Form of item
online
Isbn
9783034805162
Media category
computer
Media type code
  • c
Other control number
10.1007/978-3-0348-0516-2
Specific material designation
remote
System control number
  • (CKB)2670000000342861
  • (EBL)1156185
  • (OCoLC)831115879
  • (SSID)ssj0000878409
  • (PQKBManifestationID)11469122
  • (PQKBTitleCode)TC0000878409
  • (PQKBWorkID)10836040
  • (PQKB)10109824
  • (DE-He213)978-3-0348-0516-2
  • (MiAaPQ)EBC1156185
  • (EXLCZ)992670000000342861
Label
Advances in Harmonic Analysis and Operator Theory : The Stefan Samko Anniversary Volume, edited by Alexandre Almeida, Luís Castro, Frank-Olme Speck, (electronic resource)
Publication
Note
Description based upon print version of record
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
Contents
  • Advances in Harmonic Analysis and Operator Theory; The Stefan Samko Anniversary Volume; Contents; Preface; Stefan G. Samko - Mathematician, Teacher and Man; 1. Introduction; 2. Scientific origin from BVP and SIE, 1965-1974; 3. Research in Fractional Calculus (FC), 1967-1996; 3.1. One-dimensional Fractional Calculus; 3.1.1. Relations between left- and right-hand sided fractional integration; 3.1.2. Estimates of moduli of continuity; 3.1.3. In collaboration with Bertram Ross; 3.1.4. Other; 3.2. Multidimensional FC; 4. Equations with involutive operators, 1970-1977
  • 5. Function spaces of fractional smoothness, influence of Steklov Mathematical Institute5.1. Hypersingular integrals and spaces of the type of Riesz potentials; 5.2. Potential type operators with homogeneous kernels; 5.3. Spherical HSI and potentials; 6. Portugal period; after 1995; 6.1. FC continued; constant exponents; 6.1.1. Approximative inverses for the fractional type operators; 6.1.2. Local nature of Riesz potential operators; 6.1.3. Miscellaneous; 6.2. Equations with involutive operators, continued; 6.3. Variable Exponent Analysis: 1993-2003
  • 6.4. Variable Exponent Analysis in collaboration with V. Kokilashvili, 2001-present6.5. Variable Exponent Analysis, continued: 2004-present; 6.5.1. More on weighted estimates of potential operators; 6.5.2. Studies related to HSI and the range Iα() (Lp()) in case of variable exponents; 6.5.3. Morrey and Campanato spaces; 6.5.4. PDO in variable exponent setting; 6.5.5. Miscellaneous in variable exponent analysis; 7. Miscellaneous; References; The Role of S.G. Samko in the Establishing and Development of the Theory of Fractional Differential Equations and Related Integral Operators
  • 1. Main aspects of the modern theory of fractional differential equations1.1. Elements of the classification; Ordinary fractional differential equations; Fractional partial differential equations; 1.2. Methods of investigation; Treating problems:; Types of solutions:; Methods of solution:; 2. Basic components of investigations related to fractional differential equations; 2.1. Development of fractional calculus; 2.2. Development of the theory of first-order integral equations; 2.3. Development of methods of integral transforms; 2.4. Development of the theory of special functions
  • 2.5. Development of multidimensional fractional calculus3. The role of Professor S.G. Samko in the creation and development of the theory of fractional differential equations; 3.1. Singular integral equations and boundary value problems; 3.2. Abel integral equations and their generalizations; 3.3. Integral equations with weak singularities; 3.4. Convolution type integral equations; 3.5. Fractional integro-differentiation; 3.6. Fractional powers of operators; 3.7. The theory of (one- and multidimensional) potential type operators; 4. Conclusion; Acknowledgment; References
  • Energy Flow Above the Threshold of Tunnel Effect
Dimensions
unknown
Edition
1st ed. 2013.
Extent
1 online resource (387 p.)
Form of item
online
Isbn
9783034805162
Media category
computer
Media type code
  • c
Other control number
10.1007/978-3-0348-0516-2
Specific material designation
remote
System control number
  • (CKB)2670000000342861
  • (EBL)1156185
  • (OCoLC)831115879
  • (SSID)ssj0000878409
  • (PQKBManifestationID)11469122
  • (PQKBTitleCode)TC0000878409
  • (PQKBWorkID)10836040
  • (PQKB)10109824
  • (DE-He213)978-3-0348-0516-2
  • (MiAaPQ)EBC1156185
  • (EXLCZ)992670000000342861

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