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The Resource Advances in Harmonic Analysis and Operator Theory : The Stefan Samko Anniversary Volume, edited by Alexandre Almeida, Luís Castro, FrankOlme Speck, (electronic resource)
Advances in Harmonic Analysis and Operator Theory : The Stefan Samko Anniversary Volume, edited by Alexandre Almeida, Luís Castro, FrankOlme Speck, (electronic resource)
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The item Advances in Harmonic Analysis and Operator Theory : The Stefan Samko Anniversary Volume, edited by Alexandre Almeida, Luís Castro, FrankOlme Speck, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.This item is available to borrow from all library branches.
Resource Information
The item Advances in Harmonic Analysis and Operator Theory : The Stefan Samko Anniversary Volume, edited by Alexandre Almeida, Luís Castro, FrankOlme Speck, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.
This item is available to borrow from all library branches.
 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
 Language

 eng
 eng
 Edition
 1st ed. 2013.
 Extent
 1 online resource (387 p.)
 Note
 Description based upon print version of record
 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, 19651974; 3. Research in Fractional Calculus (FC), 19671996; 3.1. Onedimensional Fractional Calculus; 3.1.1. Relations between left and righthand 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, 19701977
 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: 19932003
 6.4. Variable Exponent Analysis in collaboration with V. Kokilashvili, 2001present6.5. Variable Exponent Analysis, continued: 2004present; 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 firstorder 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 integrodifferentiation; 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
 Isbn
 9783034805162
 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, FrankOlme Speck
 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
 Dewey number
 515.2433
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsedt

 iBZadvomInA
 c36kLtzUDpc
 T4PvEo22U
 Language note
 English
 LC call number
 QA404.7405
 Literary form
 non fiction
 Nature of contents
 dictionaries
 http://library.link/vocab/relatedWorkOrContributorName

 Almeida, Alexandre.
 Castro, Luís.
 Speck, FrankOlme.
 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, FrankOlme Speck, (electronic resource)
 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, 19651974; 3. Research in Fractional Calculus (FC), 19671996; 3.1. Onedimensional Fractional Calculus; 3.1.1. Relations between left and righthand 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, 19701977
 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: 19932003
 6.4. Variable Exponent Analysis in collaboration with V. Kokilashvili, 2001present6.5. Variable Exponent Analysis, continued: 2004present; 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 firstorder 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 integrodifferentiation; 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
 10.1007/9783034805162
 Specific material designation
 remote
 System control number

 (CKB)2670000000342861
 (EBL)1156185
 (OCoLC)831115879
 (SSID)ssj0000878409
 (PQKBManifestationID)11469122
 (PQKBTitleCode)TC0000878409
 (PQKBWorkID)10836040
 (PQKB)10109824
 (DEHe213)9783034805162
 (MiAaPQ)EBC1156185
 (EXLCZ)992670000000342861
 Label
 Advances in Harmonic Analysis and Operator Theory : The Stefan Samko Anniversary Volume, edited by Alexandre Almeida, Luís Castro, FrankOlme Speck, (electronic resource)
 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, 19651974; 3. Research in Fractional Calculus (FC), 19671996; 3.1. Onedimensional Fractional Calculus; 3.1.1. Relations between left and righthand 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, 19701977
 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: 19932003
 6.4. Variable Exponent Analysis in collaboration with V. Kokilashvili, 2001present6.5. Variable Exponent Analysis, continued: 2004present; 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 firstorder 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 integrodifferentiation; 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
 10.1007/9783034805162
 Specific material designation
 remote
 System control number

 (CKB)2670000000342861
 (EBL)1156185
 (OCoLC)831115879
 (SSID)ssj0000878409
 (PQKBManifestationID)11469122
 (PQKBTitleCode)TC0000878409
 (PQKBWorkID)10836040
 (PQKB)10109824
 (DEHe213)9783034805162
 (MiAaPQ)EBC1156185
 (EXLCZ)992670000000342861
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