Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Mathematics --- Banach algebra --- complex analysis --- frame and wavelet theory --- functional analysis and operator theory --- fuzzy analysis --- nonlinear analysis --- Math --- Science --- Mathematical Theory --- banach algebra

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Functional analysis --- Algebra --- Study and teaching. --- Àlgebres de Banach --- Functional calculus --- Calculus of variations --- Functional equations --- Integral equations --- Anells normats --- Àlgebres topològiques --- Espais de Banach --- Àlgebres de funcions --- Àlgebres de Von Neumann --- Anàlisi harmònica --- C*-àlgebres --- Mòduls de Banach (Àlgebra)

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Modules (Algebra) --- Finite number systems --- Modular systems (Algebra) --- Algebra --- Finite groups --- Rings (Algebra) --- Anells (Àlgebra) --- Monoides --- Mòduls (Àlgebra) --- Sistemes modulars (Àlgebra) --- Anells artinians --- Mòduls de Banach (Àlgebra) --- Mòduls de Cohen-Macaulay --- Mòduls injectius (Àlgebra) --- Mòduls projectius (Àlgebra) --- Teoria de divisors --- Teoria de torsió (Àlgebra) --- Grups finits --- Semigrups --- Anells algebraics --- Anells algèbrics --- Àlgebres no associatives --- Àlgebres topològiques --- Anells associatius --- Anells commutatius --- Anells de grup --- Anells no commutatius --- Ideals (Àlgebra) --- Representacions d'anells (Àlgebra) --- Teoria de la mesura

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

This volume consists of a collection of 14 accepted submissions (including several invited feature articles) to the Special Issue of MDPI's journal Symmetry on the general subject area of integral transformations, operational calculus and their applications from many different parts around the world. The main objective of the Special Issue was to gather review, expository, and original research articles dealing with the state-of-the-art advances in integral transformations and operational calculus as well as their multidisciplinary applications, together with some relevance to the aspect of symmetry. Various families of fractional-order integrals and derivatives have been found to be remarkably important and fruitful, mainly due to their demonstrated applications in numerous diverse and widespread areas of mathematical, physical, chemical, engineering, and statistical sciences. Many of these fractional-order operators provide potentially useful tools for solving ordinary and partial differential equations, as well as integral, differintegral, and integro-differential equations; fractional-calculus analogues and extensions of each of these equations; and various other problems involving special functions of mathematical physics and applied mathematics, as well as their extensions and generalizations in one or more variables.

History of engineering & technology --- Stancu-type Bernstein operators --- Bézier bases --- Voronovskaja-type theorems --- modulus of continuity --- rate of convergence --- bivariate operators --- approximation properties --- statistical convergence --- P-convergent --- statistically and relatively modular deferred-weighted summability --- relatively modular deferred-weighted statistical convergence --- Korovkin-type approximation theorem --- modular space --- convex space --- N-quasi convex modular --- N-quasi semi-convex modular --- vehicle collaborative content downloading --- fuzzy comprehensive evaluation --- VANET --- delay differential equations --- integral operator --- periodic solutions --- subordinations --- exponential function --- Hankel determinant --- fractional differential equations with input --- Mittag-Leffler stability --- left generalized fractional derivative --- ρ-Laplace transforms --- functional integral equations --- Banach algebra --- fixed point theorem --- measure of noncompactness --- Geometric Function Theory --- q-integral operator --- q-starlike functions of complex order --- q-convex functions of complex order --- (δ,q)-neighborhood --- meromorphic multivalent starlike functions --- subordination --- univalent function --- symmetric differential operator --- unit disk --- analytic function --- analytic functions --- conic region --- Hadamard product --- differential subordination --- differential superordination --- generalized fractional differintegral operator --- Convex function --- Simpson's rule --- differentiable function --- weights --- positive integral operators --- convolution operators --- Stancu-type Bernstein operators --- Bézier bases --- Voronovskaja-type theorems --- modulus of continuity --- rate of convergence --- bivariate operators --- approximation properties --- statistical convergence --- P-convergent --- statistically and relatively modular deferred-weighted summability --- relatively modular deferred-weighted statistical convergence --- Korovkin-type approximation theorem --- modular space --- convex space --- N-quasi convex modular --- N-quasi semi-convex modular --- vehicle collaborative content downloading --- fuzzy comprehensive evaluation --- VANET --- delay differential equations --- integral operator --- periodic solutions --- subordinations --- exponential function --- Hankel determinant --- fractional differential equations with input --- Mittag-Leffler stability --- left generalized fractional derivative --- ρ-Laplace transforms --- functional integral equations --- Banach algebra --- fixed point theorem --- measure of noncompactness --- Geometric Function Theory --- q-integral operator --- q-starlike functions of complex order --- q-convex functions of complex order --- (δ,q)-neighborhood --- meromorphic multivalent starlike functions --- subordination --- univalent function --- symmetric differential operator --- unit disk --- analytic function --- analytic functions --- conic region --- Hadamard product --- differential subordination --- differential superordination --- generalized fractional differintegral operator --- Convex function --- Simpson's rule --- differentiable function --- weights --- positive integral operators --- convolution operators

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Among the many differences between classical and p-adic objects, those related to differential equations occupy a special place. For example, a closed p-adic analytic one-form defined on a simply-connected domain does not necessarily have a primitive in the class of analytic functions. In the early 1980s, Robert Coleman discovered a way to construct primitives of analytic one-forms on certain smooth p-adic analytic curves in a bigger class of functions. Since then, there have been several attempts to generalize his ideas to smooth p-adic analytic spaces of higher dimension, but the spaces considered were invariably associated with algebraic varieties. This book aims to show that every smooth p-adic analytic space is provided with a sheaf of functions that includes all analytic ones and satisfies a uniqueness property. It also contains local primitives of all closed one-forms with coefficients in the sheaf that, in the case considered by Coleman, coincide with those he constructed. In consequence, one constructs a parallel transport of local solutions of a unipotent differential equation and an integral of a closed one-form along a path so that both depend nontrivially on the homotopy class of the path. Both the author's previous results on geometric properties of smooth p-adic analytic spaces and the theory of isocrystals are further developed in this book, which is aimed at graduate students and mathematicians working in the areas of non-Archimedean analytic geometry, number theory, and algebraic geometry.

p-adic analysis. --- Analysis, p-adic --- Algebra --- Calculus --- Geometry, Algebraic --- Abelian category. --- Acting in. --- Addition. --- Aisle. --- Algebraic closure. --- Algebraic curve. --- Algebraic structure. --- Algebraic variety. --- Allegory (category theory). --- Analytic function. --- Analytic geometry. --- Analytic space. --- Archimedean property. --- Arithmetic. --- Banach algebra. --- Bertolt Brecht. --- Buttress. --- Centrality. --- Clerestory. --- Commutative diagram. --- Commutative property. --- Complex analysis. --- Contradiction. --- Corollary. --- Cosmetics. --- De Rham cohomology. --- Determinant. --- Diameter. --- Differential form. --- Dimension (vector space). --- Divisor. --- Elaboration. --- Embellishment. --- Equanimity. --- Equivalence class (music). --- Existential quantification. --- Facet (geometry). --- Femininity. --- Finite morphism. --- Formal scheme. --- Fred Astaire. --- Functor. --- Gavel. --- Generic point. --- Geometry. --- Gothic architecture. --- Homomorphism. --- Hypothesis. --- Imagery. --- Injective function. --- Irreducible component. --- Iterated integral. --- Linear combination. --- Logarithm. --- Marni Nixon. --- Masculinity. --- Mathematical induction. --- Mathematics. --- Mestizo. --- Metaphor. --- Morphism. --- Natural number. --- Neighbourhood (mathematics). --- Neuroticism. --- Noetherian. --- Notation. --- One-form. --- Open set. --- P-adic Hodge theory. --- P-adic number. --- Parallel transport. --- Patrick Swayze. --- Phrenology. --- Politics. --- Polynomial. --- Prediction. --- Proportion (architecture). --- Pullback. --- Purely inseparable extension. --- Reims. --- Requirement. --- Residue field. --- Rhomboid. --- Roland Barthes. --- Satire. --- Self-sufficiency. --- Separable extension. --- Sheaf (mathematics). --- Shuffle algebra. --- Subgroup. --- Suggestion. --- Technology. --- Tensor product. --- Theorem. --- Transept. --- Triforium. --- Tubular neighborhood. --- Underpinning. --- Writing. --- Zariski topology.