Francisco Bulnes

IINAMEI, Technological Institute of High Studies Chalco, Mexico

Francisco Bulnes is an outstanding mathematician who obtained his Ph.D. in mathematical sciences from UNAM, Mexico, and undertook post-doctoral research in Cuba and Russia. He has achieved international recognition, especially in Eastern Europe, the Middle East and Asia, for his pioneering work on curvature energy theory and mathematical nanotechnology theory. He has authored over 150 research papers in mathematics and physics, and published monographs in more than 40 countries. He has received a number of appointments and awards from government and non-government organizations and doctorates honoris causa from universities. He is a member of several international referee committees and judging panels for mathematics, physics, and nanotechnology research. His biography has been published in more than 20 countries.

8books edited

15chapters authored

Latest work with IntechOpen by Francisco Bulnes

Today, more sophisticated techniques are necessary for spectral analysis, reconstruction, restoration of signals, their digital and analogic processing, specialized signal diagnostics, and short intervals with occurrences that require greater speed and precision. As the frequency domain of the wavelet transform gets more detailed and considerably more specific in various applications, it necessitates specialized scholarly attention in its many forms and relationships with other transforms with special functions. For example, using the wavelet transform with special functions can prove valuable in creating and designing special signal filters or the interphase between reception-emission devices with specialized sensors for medical use. In quantum phenomena, its corresponding version of the wavelet transform is instrumental in the spectral study of particles and their correlation. Therefore, using specialists’ and experts’ views, this book delves into an exposition on spectral analysis, restoring, monitoring, and signal processing, as well as essential applications required in waveguides and for the improvement of medical images, proving the wavelet transform to be helpful in resolution analysis in time-frequency, with an emphasis on different methods of the calculus using FFT and DSTFT. This book has been divided into four sections covering all the abovementioned subjects.

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Recent Advances in Wavelet Transforms and Their Applications

Edited by Francisco Bulnes

Books edited

By Francisco Bulnes

Part of the book: Theoretical Concepts of Quantum Mechanics

Quantum Intentionality and Determination of Realities in the Space-Time Through Path Integrals and Their Integral Transforms

By Francisco Bulnes

Part of the book: Advances in Quantum Mechanics

A Lie-QED-Algebra and their Fermionic Fock Space in the Superconducting Phenomena

By Francisco Bulnes

Part of the book: Selected Topics in Applications of Quantum Mechanics

Detection and Measurement of Quantum Gravity by a Curvature Energy Sensor: H-States of Curvature Energy

By Francisco Bulnes

The curvature energy as spectra of a field observable that is resulted of the variation of energy due to the speed of direction change in the space, is measured and detected by a sensor designed and developed through H-fields of energy that are superposes, obtaining strong variations in the fermion state to the H-torsion (second curvature energy) of the space-time via the gravitational covariant derivative having that the actions can be consigned to these H-fields as Majorana states with a corresponding action of gauge field. Likewise, in this chapter, some geometrical models of these H-states and their spectra of curvature are generated and discussed, which are extrapolated to the design of curvature energy sensors to quantum gravity.

Part of the book: Perturbation Theory

Gravity, Curvature and Energy: Gravitational Field Intentionality to the Cohesion and Union of the Universe

By Francisco Bulnes

We use the quantum operators O c G , which are diffeomorphisms of gravity creating the intentionality under the action integrals to prove and determine the gluing intention for adherence of the matter-energy (taking the corresponding mass-energy tensor T ab ) to create complex bodies in the scale of conforming the fragmented Universe such as we know. The reverse is the planting of the energy model of gravity in accordance with the implications in space-time due to the diffeomorphisms of gravity, which were designed to explain the existence of the intention as kernel of the integral operators of the actions with this intention as direction of the energy-matter. The time, in particular, can be shown through instantons of a gauge field (this as electromagnetic field, and in this case appears the torsion) of gravity, which appears in natural way as the same integral operators obtained. Finally, using the complex Riemannian structure of our model of the space-time, and the K-invariant G-structure of the orbits used to obtain curvature, are obtained as consequences of the diffeomorphisms, the field equations to the energy-matter tensor density in each case of the gravitational field.

Part of the book: Gravity

Introductory Chapter: Frontier Research on Integral Equations and Recent Results

By Francisco Bulnes

Part of the book: Recent Advances in Integral Equations

Introductory Chapter: Advanced Communication and Nano-Processing of Quantum Signals

By Francisco Bulnes

Part of the book: Advances in Quantum Communication and Information

Derived Tensor Products and Their Applications

By Francisco Bulnes

In this research we studied the tensor product on derived categories of Étale sheaves with transfers considering as fundamental, the tensor product of categories X⊗Y=X×Y, on the category Cork, (finite correspondences category) by understanding it to be the product of the underlying schemes on k. Although, to this is required to build a total tensor product on the category PST(k), where this construction will be useful to obtain generalizations on derived categories using pre-sheaves and contravariant and covariant functors on additive categories to define the exactness of infinite sequences and resolution of spectral sequences. Some concrete applications are given through a result on field equations solution.

Part of the book: Advances on Tensor Analysis and their Applications

Introductory Chapter: Frontiers and Future Developments of the Complex Analysis

By Francisco Bulnes

Part of the book: Advances in Complex Analysis and Applications

Introductory Chapter: The Topology from Classic Studies until Its Last Frontiers

By Francisco Bulnes

Part of the book: Advanced Topics of Topology

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